(1 point) Test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of 0.03.

Answers

Answer 1

Since the two samples come from populations with the same mean, we can use the two-sample t-test to test the hypothesis. The null hypothesis for this test is that the two samples come from populations with the same mean, and the alternative hypothesis is that the two samples come from populations with different means.

Here are the steps to test the hypothesis:

Step 1: State the null and alternative hypotheses. H0: μ1 = μ2 (the two samples come from populations with the same mean)Ha: μ1 ≠ μ2 (the two samples come from populations with different means)

Step 2: Determine the level of significance (α). α = 0.03

Step 3: Determine the critical value(s). Since the test is a two-tailed test, we need to find the critical values for the t-distribution with degrees of freedom (df) equal to the sum of the sample sizes minus two (n1 + n2 - 2) and a level of significance of 0.03. Using a t-distribution table or calculator, we get a critical value of ±2.594.

Step 4: Calculate the test statistic. The test statistic for the two-sample t-test is given by: t = (x1 - x2) / (s1²/n1 + s2²/n2)^(1/2) where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Step 5: Determine the p-value. Using a t-distribution table or calculator, we can find the p-value corresponding to the test statistic calculated in step 4.

Step 6: Make a decision. If the p-value is less than the level of significance (α), we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

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Answer 2

Since, the samples are independent simple random samples so, the value of test statistic is -2.834 and the two samples come from populations with different means.

Given, we need to test the claim that the two samples described below come from populations with the same mean. Assume that the samples are independent simple random samples. Use a significance level of 0.03.

Hypotheses:

H0: µ1 = µ2 (the two population means are equal)

H1: µ1 ≠ µ2 (the two population means are not equal)

Here, we are using a two-tailed test at a significance level of α = 0.03. Thus, the critical value for rejection region is obtained as follows:

α/2 = 0.03/2

= 0.015

The degrees of freedom is given by:

(n1 - 1) + (n2 - 1) = (15 - 1) + (12 - 1)

= 25

Test statistics, Here, σ1 and σ2 are unknown. Thus, we use the t-distribution. The calculated value of test statistic is -2.834.

Conclusion: Since the calculated value of test statistic falls in the rejection region, we reject the null hypothesis. Therefore, at α = 0.03, we have sufficient evidence to suggest that there is a difference in the mean weight of walleye fingerlings stocked in the western and central regions of the lake. Hence, we can conclude that the two samples come from populations with different means.

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Related Questions

pls answer 1 and 2 will give brainliest to who is right

pls answer 1 and 2 will give brainliest to who is right

Answers

Answer:

1)88.8

2)62.05

Step-by-step explanation:

Russell runs 9/10 mile in 5 minutes. At this rate how many miles can he run in one minutes.​

Answers

Answer:

\(=\frac{9}{50}\)

Step-by-step explanation:

\(\frac{9}{10}\div \frac{5}{1}\)
\(\frac{9}{10}\times \frac{1}{5}\)
\(\frac{9\times \:1}{10\times \:5}\)
\(=\frac{9}{50}\)

Watch help video
What is the greatest common factor of 21, 14, and 7
Answer:
Submit Answer

Answers

The greatest common factor ( GCF ) of 21 , 14 and 7 is given by A = 7

What is HCF and LCM?

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the GCF of the numbers be represented as A

Now , the equation will be

Let the first number be p = 21

Let the second number be q = 14

Let the third number be r = 7

Now , the factors of 21 = 1 , 2 , 3 , 7 and 21

The factors of 14 = 1 , 2 , 7 and 14

The factors of 7 = 1 and 7

So , the greatest common factors of 21 , 14 and 7 is 7

Hence , the GCF is 7

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Please help me solve these problems guys I’m really struggling

Please help me solve these problems guys Im really struggling

Answers

Answer:

Step-by-step explanation:

Please help me solve these problems guys Im really struggling

Write the equation of a line in
slope intercept form of a line that
has a slope of -1 and contains
(-5, 2).

Answers

Answer:

y = -x - 3

Step-by-step explanation:

Sorry it’s late but hope this helps. Pls give brainliest.

Which of the following search algorithms should be used on large arrays if speed if important?
BinaryascendingBubble sortAll of the above

Answers

If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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Each square has a side length of 12 units. Compare the areas of the shaded regions in the 3 figures. Which figure has the largest shaded region? Explain or show your reasoning.

Each square has a side length of 12 units. Compare the areas of the shaded regions in the 3 figures.

Answers

Answer:They are equal

Step-by-step explanation:

they will add up they are just token apart or in pieces

Three different figures are given. The area of the shaded region of all the figures is the same.

We need to determine the highest shaded area among all.

Now, the area of the square is common to all.

Thus,

\(\begin{aligned}\rm{Area\;of\;square}&=12^2\\&=144 \;\rm{units^2}\end{aligned}\)

1). Calculate the shaded area for figure A.

The diameter of the circle is 12 units, hence its radius is 6 units.

Therefore,

\(\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 6^2\\&=36 \pi \;\rm{units^2}\end{aligned}\)

\(\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}\)

Thus, the area of the shaded region for figure 1 is \(114-36 \pi\).

2). Calculate the shaded area for the figure B.

The diameter of the circle is 6 units, hence its radius is 3 units.

Therefore,

\(\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 3^2\\&=9 \pi \;\rm{units^2}\end{aligned}\)

\(\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - 4 \times Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}\)

Thus, the area of the shaded region for figure 2 is \(114-36 \pi\).

3). Calculate the shaded area for figure C.

The diameter of the circle is 4 units, hence its radius is 2 units.

Therefore,

\(\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 2^2\\&=4 \pi \;\rm{units^2}\end{aligned}\)

\(\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}\)

Thus, the area of the shaded region for figure 3 is \(114-36 \pi\).

Therefore, the area of the shaded region of all the figures is the same.

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y=−2x+2
4x+2y=4
Substitute the resulting expression in the other equation

Answers

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

someone help me asap!!

someone help me asap!!

Answers

D

Step-by-step explanation:

if R = those numbers then 4R would be those numbers times 4 :)

Help me please

A. 3.0
B. 1.8
C. 1.0
D. 2.5

Help me pleaseA. 3.0B. 1.8C. 1.0D. 2.5

Answers

Answer:

The average GPA would be 1.8

Step-by-step explanation:

Hope this is helpful. I did a test like this exact question and I got it right.

Alguien que hable ESPAÑOL :) ​

Answers

Yo ablo español pero no puedo escribirlo bien!:/

Answer:

yo

Step-by-step explanation:

When you combine the like terms -x and -32x,what does that simplify to?

Answers

Answer: 31x

Step-by-step explanation:

( -x + 32x )

( -1 + 32x )

= 31

subtract using the number line 2−(−3) please I don't wanna fail math :(

Answers

Answer:

I think I know

Step-by-step explanation:

but im not sure.

Answer:

The Answer is 5.

Step-by-step explanation:

Two Negatives equal a Positive.

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Answers

each persons share of rental will cost at least 400$ per month!!

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x \(\leq\)

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x \(\leq\) $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x \(\leq\) 400

Write an equivalent expression for
6(-5n+7)

Write an equivalent expression for6(-5n+7)

Answers

Answer:

\( - 30n + 42\)

Step-by-step explanation:

..............

Mark runs 1 mile in 6 minutes. How far will he run after 1 hour

Mark runs 1 mile in 6 minutes. How far will he run after 1 hour

Answers

Answer:

10 Miles

Step-by-step explanation: The ratio for the problem is 1:6, multiply the 6 by 10 to get an hour and in a ratio you must multiply the number on booth sides by the same thing, the 1=miles and the 6=minutes

I’m pretty sure it’s 10

find the volume of a rectangle block of ice 2 feet by 3 1/2 feet by 1 1/2.
the volume of the rectangular block of ice is ( simplify your answer)​

Answers

Answer:

The answer is 80.5!

Step-by-step explanation:

The reason to the answer is because volume of a cuboid is l×B×H

(Substitute the values)  L = 2 , B = 3.5 , H = 11.5

2 × 3.5 × 11.5

Therefore, when we multiply these numbers we get, the answer 80.5!

I hope this answer helps!

A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to work on a project

Answers

The number of groups of computer programming that can be selected from the 17 strong teams depends on the conditions given to the selection.

The correct answer is:

(a) There are 24,310 ways to select the group of 9 out of 17 members.

Probability = number of paths to success. A total number of possible outcomes. For example, the probability of flipping a coin and getting heads is ½. This is because there is one way to get heads and the total number of possible outcomes is 2 (heads or tails). We write P(heads) = ½.

Probability is a measure of the likelihood that an event will occur. Many events cannot be predicted with complete certainty. We can only predict the probability that an event will occur. H. Possibility of using it.

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What are the factors of the following quadratic?x2 + 9x + 8

Answers

we have

x2 + 9x + 8

Find the factors

Complete the square

(x^2+9x+81/4)-81/4+8=0

Rewrite as perfect squares

(x+9/2)^2=81/4-8

(x+9/2)^2=49/4

square root both sides

(x+9/2)=(+/-)7/2

x=-9/2(+/-)7/2

so

x1=-9/2+7/2=-1

x2=-9/2-7/2=-8

therefore

x2 + 9x + 8=(x+1)(x+8)

answer is

The factors are

(x+1) and (x+8)

6sin^2 (x) + 6sin (x) + 1 = 0

solve and show steps for the graph ( i already have the graph )

Answers

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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multiplying polynomials
X+2
X+2
area =

Answers

Answer:

x^2 + 4x + 4

Step-by-step explanation:

(x+2)(x+2) Use FOIL (first outer inner last)

x * x = x^2

x * 2 = 2x

2 * x= 2x

2 * 2= 4

Combine like terms and put in correct form

x^2 + 4x + 4

Please help explain the easiest way

Please help explain the easiest way

Answers

Answer:

60 m

Step-by-step explanation:

Triangle formula:

Please help explain the easiest way

literally anyone help me with this

literally anyone help me with this

Answers

2x-15+95+2x=360

5x=360-80

5x=280

X=56


Solution:

X=56

Enter the ratio as a fraction in lowest terms

15 minutes to 50 minutes

Answers

Answer:

3 minutes to 10 minutes

Step-by-step explanation:

15 : 50. Both can be divided by 5

3 : 10

Is triangle LMN a right triangle?

Answers

It is demonstrated in the following figure itself that △LMN is a right triangle.

What is a right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides.

The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.

A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.

To describe the sides of right triangles, we utilize specific terminology.

The side opposite the right angle is always the hypotenuse of a right triangle.

So, in the given figure, it is shown that △LMN is a right triangle.

Therefore, it is demonstrated in the following figure itself that △LMN is a right triangle.

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Is triangle LMN a right triangle?

ordered pairs of this equation: f(x)=3-2x

Answers

Answer:

Graph in the image

Step-by-step explanation:

ordered pairs of this equation: f(x)=3-2x

Rewrite 9/4 as a decimal ?

Answers

Answer:

2.25

Step-by-step explanation:

Change the fraction so that the denominator is something that's a factor of 100

9/4 = x/100

9 x 25 = 225

-----------------------

4 x 25 = 100

225/100

Now divide to get your decimal

225/100 = 2.25

State the triangle congruence theorem that can be used to prove triangles congruent

SSS
SAS
AAS
ASA
HL
Cannot Be Determined

State the triangle congruence theorem that can be used to prove triangles congruentSSSSASAASASAHLCannot

Answers

Answer:

AAS

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

on edge

find the limit, if it exists. (if an answer does not exist, enter dne.) lim x→0− 5 x − 5 |x|

Answers

The limit of the function is 1 and it does exist .

Given,

\(\lim_{x \to \ -5} 5 - |x| / 5 + x\)

|x| : modulus function, also known as the absolute value function, is a function that takes any real number as input and returns its distance from zero on the number line.

In mathematical notation, the modulus function can be represented as |x|, where x is the input.

For example, if x = -3, then |x| = 3, and if x = 5, then |x| = 5.

Solving the limits further,

\(\lim_{x \to \ -5} 5 - |x| / 5 + x \\ \lim_{x \to \ -5} 5 - (-x) /5 + x\\ \lim_{x \to \ -5} 5 + x/ 5 + x\\\)

\(\lim_{x \to \ -5} 1\) = 1

Thus the limit exist and it is equal t o 1 .

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Substitute *
x=2y+9
14x+2y=-54

Answers

Okay uh

x = 2y + 9
14x + 2y = - 54

14x + 2y = - 54
14(2y + 9) + 2y = - 54
28y + 126 + 2y = -54
30y + 126 = -54
- 126 -126
30y = -180
30y/30 = -180/30
y = -6

x = 2y + 9
x = 2(-6) + 9
x = -12 + 9
x = -3

(x, y) = (-3, -6)

Answer:

• x=2y+9

Find the x-intercepts.

x-intercept(s):

(9,0)

Find the y-intercepts.

y-intercept(s):

(0,−9/2)

List the intersections.

x-intercept(s):

(9,0)

y-intercept(s):

(0,−9/2)

• 14x+2y=-54

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s):

(−27/7,0)

y-intercept(s):

(0,−27)

Step-by-step explanation:

Hope it is helpful....

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