Joe plays basketball for the Wildcats and missed some of the season due to an injury. He did soune calculations that showed the mean number of points scored by his team was greater when he played than when he did not play. Here we test whether or not the mean was significantly greater The table summarizes this data where the i's are actually population means but we treat them like sample means. The degrees of freedom (d.f.) is given to save calculation time if you are not using software The Test: Test the claim that the mean points scored by the team was significantly greater when Joe played. Use a 0.05 significance level With Joe () 12 74.1 12.5 6.52 Without Joe (865.7 38.2 6.18 d.. 16 1 • Example 1: Using the given data, test the claim that the mean cholesterol level for all men who is the drug is less than the mean for those who do not use the drug. Assume both populations are normally distributed and use a 0.05 significance level. men Cholesterol Levels in mg/dL. No Drug (13) 237 289 257 228 303 275 262 304 214 233 263.2 811.1 28.6 Drug (12) 194 210 230 186 266 222 242 281 240 212 231.2 864.0 29.4 1. Here we are claiming that which means > Or-2 > 0.

Answers

Answer 1

The t-test allows us to evaluate whether the mean points scored by the team were significantly different between the scenarios with and without Joe.

To test the claim that the mean points scored by the team were significantly greater when Joe played, we can perform a t-test for independent samples.

Let's denote the mean number of points scored by the team when Joe played as mu1 and the mean number of points scored when Joe did not play as  mu2. The null hypothesis (H0) is that μ1 is not significantly greater than mu2, and the alternative hypothesis (H1) is that μ1 is significantly greater than mu2.

To perform the t-test, we need the sample means, standard deviations, and sample sizes for both scenarios (with Joe and without Joe). From the given data, we have the following:

With Joe:

Sample mean (x1) = 74.1

Sample standard deviation (s1) = 12.5

Sample size (n1) = 12

Without Joe:

Sample mean (x2) = 65.7

Sample standard deviation (s2) = 38.2

Sample size (n2) = 16

Now we can calculate the test statistic using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Plugging in the values, we get:

t = (74.1 - 65.7) / sqrt((12.5^2 / 12) + (38.2^2 / 16))

Next, we determine the degrees of freedom (df) for the t-distribution. Since the sample sizes are different for the two scenarios, we use the approximate formula:

df = ((s1^2 / n1 + s2^2 / n2)^2) / ((s1^2 / n1)^2 / (n1 - 1) + (s2^2 / n2)^2 / (n2 - 1))

Plugging in the values, we get:

df = ((12.5^2 / 12 + 38.22 / 16)^2) / ((12.5^2 / 12)^2 / (12 - 1) + (38.2^2 / 16)^2 / (16 - 1))

After calculating the t-value and degrees of freedom, we can compare the t-value to the critical value from the t-distribution at the desired significance level (0.05). If the t-value is greater than the critical value,  and reject the null hypothesis and conclude that the mean points scored by the team were significantly greater when Joe played.

The specific calculations will depend on the actual data provided, but this explanation provides a general framework for performing the test.

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Related Questions


What are the lengths of AD, DB, AE, and EC? Measure and record them.

Answers

i’ll be able to help if you have a picture to show me

Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.



A. 1/6

B. 5/6

C. 25/36

D. 10

Answers

Answer:

A

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

\(x_{vertex}\) = - \(\frac{b}{2a}\)

y = x² - \(\frac{5}{3}\) x + \(\frac{31}{36}\) ← is in standard form

with a = 1 and b = - \(\frac{5}{3}\) , thus

\(\frac{x}{vertex}\) = - \(\frac{-\frac{5}{3} }{2}\) = \(\frac{5}{6}\)

Substitute this value into y

y = (\(\frac{5}{6}\) )² - \(\frac{5}{3}\) (\(\frac{5}{6}\) ) + \(\frac{31}{36}\)

   = \(\frac{25}{36}\) - \(\frac{25}{18}\) + \(\frac{31}{36}\) = \(\frac{1}{6}\)

Since a > 1 then the vertex is a minimum, thus

minimum value = \(\frac{1}{6}\) → A

Solve the following equations


2. 9 ^ (x + 10) + 3 = 92



Answers

Answer:

Step-by-step explanation:

=92

Answer: About 9.68

2.9 ^ (x + 10) + 3 - 3 = 92 - 3

2.9 ^ (x + 10) = 89

Next, we'll take the logarithm base 2.9 of both sides:

log2.9 (2.9 ^ (x + 10)) = log2.9 89

x + 10 = log2.9 89

Finally, we'll solve for x:

x = log2.9 89 - 10

x ≈ 9.68.

PLS HELP ASAP THIS IS DUE ON MONDAY!!!!!
Identify the vertical angle to angle ADX

PLS HELP ASAP THIS IS DUE ON MONDAY!!!!!Identify the vertical angle to angle ADX

Answers

Answer:  Angle BDF

Reason:

Vertical angles form after intersecting two lines in an X shape. The vertical angles are opposite one another. They do not have to be vertically aligned.

The other pair of vertical angles are ADB and XDF.

Vertical angles are always congruent.

Which equation represents a line which is parallel to the y=0

y=3
x=-8
y=x-1
x=4y

Answers

The problem statement as given is y - 3x = 1y.  That's a little strange because we could subtract y from both sides of the equation and y would disappear completely, leaving us with -3x = 0.

Perhaps the correct problem statement is y - 3x = 1.  This is just a guess and so could be wrong.  But it allows us to look at how to solve similar problems.  

I suggest putting the problem into standard slope-intercept form.  That's a good idea when answering questions involving slopes.  Slope-intercept form means working on the equation to get it into a form that shows y = mx + b, where m is the slope and b is the intercept.

To do this for our equation, we can add 3x to both sides of the equation to get y = 3x + 1.  We note that our slope is 3 since 3 is the coefficient on the x term when the equation is put into standard slope-intercept form.

All lines parallel to this line must have the same slope.  So, all parallel lines will have a 3x term when put in standard slope-intercept form.  The only answer that meets that requirement is D. y = 3x + 2.

which one is the scaled copy

which one is the scaled copy

Answers

Answer:

c

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Have a great day :)

whats ur favorite season mines fall :)

in abc, angle a = 90 and an is the altitude. if ab = 20 and AC = 15, find BC, BN, NC, AN

Answers

The missing values are:

BC = 25, BN = 16, NC = 9, and AN = 12

Given:

AB = 20

AC = 15

Using the Pythagorean theorem in triangle ABC:

CB = √AC² + AB²

CB= √20² + 15²

CB= √625

CB= 25

Since, AN is altitude we have ΔNBA~ΔABC and ΔNAC~ΔABC

BN / AN = BA / CB

BN/ 20= 20/25

BN = 16

and, AN / BA = AC / CB

AN /20 = 15/ 25

AN = 12

Now, CN=  CB - BN

CN = 25- 16

CN= 9

BC^2 = 20^2 + 15^2

BC^2 = 400 + 225

Since ΔANC is a right triangle so

AN = √15²-12²

AN = √81

AN = 9

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In a hat, you have index cards with the numbers 1 through 10 written on them. Find how many of the 10 possible numbers you can pick match the described event, then drag and drop each of the numbers into the correct box to order the events from least likely to happen (1) to most likely to happen (8) when you pick one card at random.A. You pick a number greater than 0.B. You pick an even number.C. You pick a number that is at least 2.D. You pick a number that is at most 0.E. You pick a number divisible by 3.F. You pick a number divisible by 5.G. You pick a prime number.H. You pick a number less than the greatest prime number among the numbers 1 through 10.

Answers

The order of events from least likely to most likely are as follows:

D. You pick a number that is at most 0A. You pick a number greater than 0C. You pick a number that is at least 2B. You pick an even numberE. You pick a number divisible by 3F. You pick a number divisible by 5G. You pick a prime numberH. You pick a number less than the greatest prime number among the numbers 1 through 10

The reason for this order is because of the chances of each event occurring. Event D has the least chance of occurring because no numbers in the set have a value less than or equal to 0. Event A is the next least likely because only one number in the set is greater than 0, which is the number 1. Event C is the next least likely because only two numbers in the set are at least 2 (2 and 3). Event B is the next least likely, as there are only five even numbers in the set (2, 4, 6, 8, and 10). Events E, F, G, and H are the most likely to occur, because of the number of numbers that are divisible by 3, and 5, and are prime numbers.

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suppose that f and g are continuouis function such that. ∫1 5 f(x)dx = 6

Answers

The area under the curve of the function f(x) between the points x = 1 and x = 5 is equal to 6 units.

Given that f is a continuous function and ∫1 5 f(x)dx = 6, we know that the area under the curve of f between 1 and 5 is equal to 6.

We don't have any information about g, so we can't say much about it. However, we can use the fact that f is continuous to make some deductions.

Since f is continuous, we know that it must be integrable on [1, 5]. This means that we can define another function F(x) as the definite integral of f(x) from 1 to x:

F(x) = ∫1 x f(t) dt

We can then apply the fundamental theorem of calculus to F(x) to get:

F'(x) = f(x)

In other words, F(x) is an antiderivative of f(x), so its derivative is f(x).

We can also use the fact that f is continuous to say that it must have an average value on [1, 5]. This average value is given by:

avg(f) = (1/4) ∫1 5 f(x) dx

Using the fact that ∫1 5 f(x)dx = 6, we can simplify this to:

avg(f) = (1/4) * 6 = 1.5

This means that on average, the value of f(x) between 1 and 5 is 1.5.

However, since we don't know anything else about f, we can't say much more than that.


Based on the given information, f and g are continuous functions and the definite integral of f(x) from 1 to 5 is equal to 6. In mathematical notation, it can be expressed as:

∫(from 1 to 5) f(x)dx = 6

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gross margin is calculated by subtracting ______ from ______.

Answers

Gross margin is calculated by subtracting the cost of goods sold from the total revenue.

To understand this calculation more comprehensively, let's break it down:

1. Total Revenue: Total revenue represents the total amount of money generated from the sales of goods or services.

It includes the selling price of the products or services and any additional income related to sales, such as shipping charges or discounts.

2. Cost of Goods Sold (COGS): Cost of Goods Sold refers to the direct costs incurred in producing or acquiring the goods that were sold.

It includes expenses such as the cost of raw materials, manufacturing costs, labor costs directly associated with production, and any other expenses directly tied to the production of goods.

By subtracting the COGS from the total revenue, we arrive at the gross margin, which represents the amount of money remaining after accounting for the direct costs associated with the production or acquisition of the goods sold.

Gross margin reflects the profitability of the core business operations before considering other indirect expenses such as overhead costs, marketing expenses, or administrative costs.

The formula for calculating gross margin can be represented as follows:

Gross Margin = Total Revenue - Cost of Goods Sold

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The length between the bases on a baseball field is 90 feet. A scale drawing shows the distance between the bases are 2 1/2 inches. one inch on this drawing equals how many feet?

Answers

Answer:

36

Step-by-step explanation:

You are shown ∠DEF below whose measures is 50°. Draw an angle bisector of ∠DEF by clicking and dragging a ray out from the vertex at E.

m∠DEF=50°

You are shown DEF below whose measures is 50. Draw an angle bisector of DEF by clicking and dragging

Answers

50/2 is 25

So 25 degrees

Explain distributive property in your own words.

Answers

Answer: The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

Answer:

The Distributive property is used when you have to multiply the given number by the sum of the two numbers.

Step-by-step explanation:

how many different makes and models of commercial aircraft are currently in service by the world's airlines

Answers

There are approximately 19 major commercial aircraft manufacturers, with hundreds of different makes and models currently in service by airlines worldwide.

To determine the number of different commercial aircraft makes and models in service, one can research major aircraft manufacturers, such as Boeing, Airbus, Bombardier, Embraer, and others. Each manufacturer produces multiple models, with various sub-models designed for specific airline needs. By researching each manufacturer's aircraft line and cross-referencing with the fleets of airlines around the world, a comprehensive list of commercial aircraft in service can be compiled. However, this number is constantly changing due to new models being introduced and older ones being retired.

The world's airlines currently operate hundreds of different makes and models of commercial aircraft, with a variety of manufacturers contributing to the diverse fleet in service today.

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22.) a house is losing value at a rate 5.4% per year. In 2010 the house was worth $151, 000. Find the worth of
the house in 2015.

Answers

Answer:  $110230 in 2015

Evaluate the numerical expression. (25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =

Please Help!
Thank You!

Answers

=50x100/23+(24/8)
=500/23+3
=500/26
=19.23

The graph represents function 1, and the equation represents function 2:

Function 2
y = 5x + 4
How much more is the rate of change of function 2 than the rate of change of
function 1? (4 points)

The graph represents function 1, and the equation represents function 2:Function 2y = 5x + 4How much

Answers

Primarily, horizontal lines mean zero slope. Therefore the equation is y= 3 because you are only left with the y-intercept at this point. The rate of change is another way of saying slope. Function 2's slope is 5 and function 1's slope is 0. Therefore, the rate of change of function 2 is greater than the rate of change of function 1 by 5.  

5 is the answer.

hope this helps :)

pls help DUE TODAY (13points)

pls help DUE TODAY (13points)

Answers

Answer:

42 ft²

Step-by-step explanation:

Rectangle Area: L * W

\(\bf A=(8ft)(6ft)\)

\(\bf 48 \; ft^2\)

\(\bf A= (3ft)(2ft)\)

\(\bf 6\;ft^2\)

\(\bf 48ft^2-6ft^2\)

\(\boxed{\bf 42\; ft^2}\)

Answer:

42

Step-by-step explanation:

6 x 6 is 36. 3 x 2 is 6. 36 + 6 is 42.

For a function to have an inverse, it must be ---Select--- one-to-two two-to-one one-to-one . So which one of the following functions has an inverse?
1. f(x) =x^2
2. g(x) = x^3

Answers

Option 2 is correct - g(x) = x^3 function  has an inverse.

For a function to have an inverse, it must be One-to-One.

for f(x)= x^2

f(-1) = (-1)^2

= 1

and f(1) = (1)^2

=1

i.e x1 does not equal to x2 but f(x1) = f(x2)

Therefore the function is not One-to-One. So, it doesn't have an inverse.

for g(x) = x^3

g(-1) = (-1)^3

= -1

and g(1) = (1)^3

= 1

i.e x1 does not equal to x2 and g(x1) is not equal to g(x2).

Therefore the function is One-to-One . So, it has an inverse.

so y= g(x) = x^3

the inverse is y^-1 = g^-1(x) = x^1/3.

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Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.

Answers

The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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3x^2 + 5 = ?
Please Help

Answers

Answer:

5?

Step-by-step explanation:

There is no value for x, but the y value for 0 would be 5.

why would people make sum heard woke ?? For us?

Answers

Hard work can boost your personal and professional growth. If we work hard, we deserve respect because you set an example for others.

Working hard will give you a sense of accomplishment, fulfillment, and self-satisfaction. Working hard can help you stay positive and confident.

1. Personal Workforce Development:

Work, by its very nature, offers challenges and opportunities for growth. It asks us to improve and grow, to become a better version of ourselves. The older we grow, the better our job and the greater the challenges.

2. Our work benefits society:

Our work benefits society. It serves others, enriches life and advances everyone. Whether it's packing groceries, delivering mail, analyzing inventory, treating cancer, or managing other employees, we can all view our work as an act of love for those we we serve.

3. Hard work is a role model for our children:

When we try to do our best every day, our children notice. One of the biggest traits I hope to pass on to my children is the importance of striving to do important things.

4.Work hard at work to work hard in life.

When we commit to hard work, we learn important life lessons: determination, focus, responsibility, problem solving, and self-control all come to mind. These lessons serve us in other areas (health, relationships, hobbies, etc.)

5.Work hard to get the most out of your time.

They will pass anyway. With every new day comes an important choice: either we fill it with the best things, or we let it slip away. There was no choice - time was running out anyway. Difficult work choices make the most of it.

6. The work itself is satisfying.

In my opinion, there is nothing more satisfying in life than lying down at night with tired legs and a tired body. Knowing that I've given my all for something important is a wonderful feeling and a sense of accomplishment in itself.

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Two squares have sides of 3 & 6. what is the ratio of their perimeter

Answers

Answer:

Step-by-step explanation:

Square with side (s) = 3

P = 4s        

s = 3

P = 4*3

P = 12

Square with side (s) = 6

P = 4s

s = 6

P = 4 * 6

P = 24

Answer

It is asking for the ratio of P(with side = 3)/ to P(with side = 6)

P(3) /P(6) = 12/24 = 1/2s(3) / s(6) = 3/6 = 1/2

So the perimeter ratio is 1/2

The side ratio is 1/2

They are the same.

Yolanda makes $11.25 per hour at her part-time job. During one week, she worked 1225 hours and also earned some tips. Her final pay for the week was $159.50.
How much money did Yolanda earn in tips?

Answers

Answer:

she earned $20 in tips

Step-by-step explanation:

- figure out how much she'll get payed in 12 hours of work, :

12 x $11.25 = $135 for 12 hours work, then find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:

2/5 of $11.25 = $4.50, after all of that, add up both of these sums together to get her total pay for hours worked:

$135 + $4.50 = $139.50

now you need to subtract that sum from her total pay to find out how much money she earned in tips:

$159.50 - $139.50 = $20, so basically thats how i got 20.

A cube has side length a. The side lengths are decreased to 20% of their original size. Write an expression in simplest form for the volume of the new cube in terms of a.

Answers

Answer: A4/8 m if  it isn't there then it's 1/2

Step-by-step explanation: let me know if this is right

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the number of songs that the drummer wrote. They wrote a total of 46 songs.

Which system of equations models this situation if the drummer wrote ​​​​​​​d songs and the guitarist wrote ​​​​​​​g songs? ( HELP NEED ANSWER ASAP)

A drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than twice the

Answers

Answer:f

Step-by-step explanation:

anybody know the answer to this?

anybody know the answer to this?

Answers

It is x=-3 just use Photomath bro

find the length of x.

find the length of x.

Answers

Answer:

3.5

Step-by-step explanation:

so this triangle is symmetrical by AA. so x would be symmetrical to 7, and 2.5 is symmetrical to 5.

\(\frac{x}{2.5}\) = \(\frac{7}{5}\)

x×5=5x

2.5×7=17.5

5x=17.5

x=17.5/5

x=3.5

I NEED HELP ASAP PLS HURRY

I NEED HELP ASAP PLS HURRY
I NEED HELP ASAP PLS HURRY

Answers

Answer: C

Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.

the indicated weight on a tube of toothpaste is 3.5 ounces. the actual weight varies by up to 0.25 ounce. write an inequality that gives the range of actual weights w( in ounches) of the tub eof toothpaste.

Answers

The inequality which represents the range of actual weights w (in ounces) of the tub of toothpaste is :

option d) 3.25 ≤ w ≤ 3.75

Given:

the indicated weight on a tube of toothpaste is 3.5 ounces.

the actual weight varies by up to 0.25 ounce.

Thus the lowest weight might be:

3.5 - 0.25 = 3.25 ounces

The highest weight might be:

3.5 + 0.25 = 3.75 ounces
Thus the range is:

3.25 ≤ w ≤ 3.75

Hence we get the required range.

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