Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an introductory psychology course. The "need for closure scale" has scores ranging from 101 to 201. For the 72 students in the highest quartile of the distribution, the mean score was x = 175.90. Assume a population standard deviation of σ = 8.35. These students were all classified as high on their need for closure. Assume that the 72 students represent a random sample of all students who are classified as high on their need for closure. How large a sample is needed if we wish to be 99% confident that the sample mean score is within 1.5 points of the population mean score for students who are high on the need for closure? (Round your answer up to the nearest whole number.) students
Answers
Rounding up to the nearest whole number, we get a sample size of 314 students. Therefore, if we randomly select 314 students who are classified as high on their need for closure. we can be 99% confident that the sample mean score is within 1.5 points of the population mean score.
To determine the sample size needed, we can use the formula:
n = (z * σ / E)^2
Where:
z = the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence)
σ = the population standard deviation (8.35)
E = the maximum allowable error (1.5)
Plugging in these values, we get:
n = (2.576 * 8.35 / 1.5)^2
n = 313.15
To determine the required sample size for a 99% confidence interval within 1.5 points of the population mean score, follow these steps:
1. Identify the given information:
- Population standard deviation (σ) = 8.35
- Desired margin of error (E) = 1.5
- Confidence level (z-score) = 2.576 (for 99% confidence interval)
2. Use the formula for sample size calculation:
n = (Z * σ / E)^2
3. Plug in the values:
n = (2.576 * 8.35 / 1.5)^2
4. Calculate the result:
n ≈ 121.22
5. Round up to the nearest whole number:
n = 122 students
So, a sample size of 122 students is needed to be 99% confident that the sample mean score is within 1.5 points of the population mean score for students who are high on the need for closure.
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Related Questions
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answers
Answer: The answer is d (-8,-8)
Step-by-step explanation:
the coordinate of point C is located at (-4,-4)
with a dilation by 2, point C' is located at (-8,-8)
solve 6 over x minus 3 equals 3 over x for x and determine if the solution is extraneous or not. question 16 options: 1) x
Answers
The solution to the equation is x = 8, and it is non-extraneous. (D)
To solve the equation, we start by cross-multiplying to eliminate the denominators. This gives us 6(x) - 4 = 4(x).
Expanding the equation, we have 6x - 4 = 4x.
Next, we simplify the equation by moving all the x terms to one side and the constant terms to the other side. This gives us 6x - 4x = 4.
Combining like terms, we get 2x = 4.
Dividing both sides by 2, we find x = 2.
Therefore, the solution to the equation is x = 2.
To determine if the solution is extraneous, we substitute it back into the original equation: 6/2 - 4 = 4/2.
Simplifying, we have 3 - 4 = 2.
This simplifies further to -1 = 2, which is false.
Since the equation becomes false when x = 2, the solution x = 2 is extraneous which is option D.
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the complete question is:
Solve 6 over x minus 4 equals 4 over x for x and determine if the solution is extraneous or not.
A) x = −8, extraneous
B) x = −8, non-extraneous
C) x = 8, extraneous
D) x = 8, non-extraneous
Should ms. espiritu buy a monthly pass or pay each time she goes to the movies ?
Answers
The total cost for watching 4 movies in a month would be:
4 x $10 = $40.
What is analysis?Analysis is, broadly speaking, the process of approximating certain mathematical objects—like integers or functions—by other, simpler objects. For example, if you want to write pi as the limit of a series of numbers that you already know how to calculate, you should do so. This will allow you to discover the first few decimals of pi. Or here's a case that works the other way around: Although the sequence of factorials n! has a pleasing aesthetic quality, calculations frequently require an estimate of n! that more clearly illustrates its growth order; this approximation is provided by the classical Stirling formula.
We need to analyze the overall cost of each choice to decide if Ms. Espiritu should purchase a monthly pass or pay each time she visits the theatre.
Assume that each movie ticket is $10 and that a monthly pass is $30. It would be less expensive for Ms. Espiritu to get a monthly pass if she intends to watch more than three films in a month. This is why:
If she purchases each movie ticket individually, the total price for four movie viewings in a month would be:
4 x $10 = $40
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tell me the answer on this one to lazy to do it
Answers
Answer:
Step-by-step explanation:
New point would be (-8, 1) so the answer is none of the other answers are correct.
Adrian bought a car worth $12000 on 36 easy installments of $375. Answer the following questions. (1) How much total amount did Adrian pay in 36 months? Answer: Total payment A = $ (2) Identify the letters used in the simple interest formula I = Prt. I= $ P= $ and t years. (3) Find the rate of interest in percentage. Answer: r %. ASK YOUR TEACHER
Answers
3) since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.
(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:
Total payment A = Monthly installment * Number of installments
= $375 * 36
= $13,500
Therefore, Adrian paid a total of $13,500 over the course of 36 months.
(2) In the simple interest formula I = Prt, the letters used represent the following variables:
I: Interest (the amount of interest paid)
P: Principal (the initial amount, or in this case, the car worth)
r: Rate of interest (expressed as a decimal)
t: Time (in years)
(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:
r = (I / Pt) * 100
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An angle exceeds three times its complement by 10°, find it.
Answers
Answer:
30° angle it might be same
It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Who or why not?
Answers
No, we cannot use the binomial probability formula with x counting the number who are left-handed in this case
This is because the adults surveyed were selected without replacement. The binomial distribution requires that the samples are independent and identically distributed (i.e., the probability of success remains constant for each trial).
However, when we sample without replacement, the probabilities are not constant because the population size changes with each selection. This means that the probability of selecting a left-handed person for the first selection is not the same as the probability of selecting a left-handed person for the second selection, and so on. Therefore, we cannot use the binomial distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population.
Instead, we can use the hypergeometric distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population. The hypergeometric distribution takes into account the changing probabilities as each selection is made without assuming that the selections are independent.
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Muffins cost $3.00 per dozen.
Andre says, “I have $2.00, so I can afford 8 muffins.”
Elena says, “I want to get 16 muffins, so I’ll need to pay $4.00
D you agree with either of them? Explain your reasoning.
Answers
Answer:
I agree with both of them
Step-by-step explanation:
A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.
We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.
Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.
Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.
Which transformations can be used to create frieze patterns?
Answers
Every frieze pattern can be mapped onto itself by a translation. Some also can be mapped onto themselves by other transformations, such as reflections. Decide whether each frieze pattern can be mapped onto itself by a reflection in a horizontal line, a vertical line, or both.
How do I do this? All of em
Answers
Answer:
Hey there!
The equation of all of these problems should be in slope-intercept, or, y=mx+b form.
In y=mx+b form, the m is the gradient, and y intercept is the b value.
a) y=2x+4
b) y=-2x-4
c) y=1x-1/5 (But as you may know, 1x=x, because one times any number is just that number, so we can actually have: y=x-1/5.)
d) y=-x+3.78
e) y=-2/3x+0 (Can be simplified to y=-2/3x)
f) y=0x-2/3 (Can be simplified to y=-2/3)
This can be confusing, especially if you're new to the topic. Let me know if you need more help :)
What does 25 radical 6 equal?
Answers
whats the difference between finding a double value and a triple value.
Answers
Answer:
While these are both comparison equality operators, the triple equals, === , is what's called a strict equality operator while the double equals is an equality operator. .
Which number is an integer?
بنام
O 2
4
نہ انت
Answers
Answer:
the answer is two
Step-by-step explanation:
because it is a number on its own
Answer:
2
Step-by-step explanation:
Integers are whole numbers.
Find the next two terms in this
sequence.
50, 40, 31, 23, 16, [?], []
Answers
Answer: 3.2
Explanation:
Just look at the photo and anything you can help me with wi be much appreciated
Answers
10.
a.
120*0.60=72
120+72=192
answer: 192
b.
192*0.30=57.60
192-57.60=134.40
answer: 134.40
c.
134.40-120= 14.40
the store made $14.40 on the bicycle
11.
147*0.75=110.25
147-110.25=36.75
answer: 36.75
12.
a.
60*0.06=3.60
60+3.60= 63.60
answer: 63.60
b.
60*0.15=9
60-9=51
answer: 51
c.
51*0.06=3.06
51+3.06=54.06
answer: 54.06
3. Mr. Raphael needs to buy notebooks for his
children to start the school year. His son
Manny needs some notebooks. His daughter
Daphne needs twice as many as does
Manny. His other daughter Ophelia says
she needs one fewer than 3 times as many
as Manny needs. If Mr. Raphael buys
x notebooks for Manny, how many
notebooks will he need to buy in all?
Write an expression in simplest form.
6x - 1
Answers
Answer:
6
Step-by-step explanation:
Answer:
It is -6 hope this helps
9. Solve for x and use x to find the value of mAB.
(MGSE9-12.G.C.2)
B
(2x-5)
17
a. x = 11; mAB = 34°
b. x = 25.5; mAB = 46°
C
2C=2x-5
ZD = 17°
c. x = 17; mAB = 46°
d. x = 11; mAB = 17°
Answers
Answer:
a. x = 11; mAB = 34°
b. x = 25.5; mAB = 46°
c. x = 17; mAB = 46°
d. x = 11; mAB = 17
Step-by-step explanation:
write the polynomial in standard form -9+3x-x^2
Answers
Answer:
- x² + 3x - 9
Step-by-step explanation:
standard form of a polynomial of degree 2 is
ax² + bx + c ( a ≠ 0 )
Given
- 9 + 3x - x²
= - x² + 3x - 9 ← in standard form
what value of b makes the equation true ? -(-b + 5) + 5b = -19 - b
b=?
Answers
Answer:
b=-2
Step-by-step explanation:
-(-b+5)+5b=-19-b
b-5+5b=-19-b
b+b-5+5b=-19-b+b
2b-5+5+5b=-19+5
2b+5b=-14
7b=-14
7b/7=-14/7
b=-2
33. The influent total suspended solids (TSS) concentra-
tion to a primary clarifier is 300 milligrams per liter
(mg/L) and the effluent TSS concentration is 100
mg/L. What is the efficiency of the primary clarifier
in removing TSS (as a percentage)?
1. 50% TSS removal
2. 67% TSS removal
3. 60% TSS removal
dsera
T
4. 55% TSS
Answers
The primary clarifier is removing 67% of the TSS from the influent wastewater, resulting in an effluent with a TSS concentration of 100 mg/L. This is a significant reduction in TSS and is an important step in the overall wastewater treatment process.
The efficiency of the primary clarifier in removing total suspended (TSS) is 67%, based on the given influent and effluent TSS concentrations.
Primary clarifiers are used in wastewater treatment plants to remove settleable solids from wastewater. The TSS concentration is a measure of the amount of suspended solids present in the wastewater.
The efficiency of a clarifier in removing TSS is calculated as the percentage reduction in TSS concentration from the influent to the effluent.
In this case, the influent TSS concentration to the primary clarifier is 300 mg/L, and the effluent TSS concentration is 100 mg/L. Therefore, the TSS removal efficiency of the primary clarifier is calculated as follows:
TSS removal efficiency = [(influent TSS concentration - effluent TSS concentration) / influent TSS concentration] x 100%
= [(300 mg/L - 100 mg/L) / 300 mg/L] x 100%
= 67%
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How many pounds of candy that sells for $0.79 per lb must be mixed with candy that sells for $1.35 per to to obtain 8 of a midure that should sell for $335 per to
50.79-per-to cardyb
(Type an integer or decimal rounded to two decimal places as needed)
Answers
The number of pounds of candy that sells for $0.79 per lb that must be mixed with candy that sells for $1.35 per lb to obtain 8 tons of a mixture that should sell for $335 per ton is 580 pounds
How to know the amount of pounds of candy requiredTake x as the number of pounds of candy that sells for $0.79 per lb, and y as the number of pounds of candy that sells for $1.35 per lb.
x + y = 8 (i.e total amount of candy to be mixed)
0.79x + 1.35y = 335 (desired selling price per ton)
solve for x
y = 8 - x
0.79x + 1.35(8 - x) = 335
0.79x + 10.8 - 1.35x = 335
-0.56x = 324.2
x = 579.64
Thus x ≈ 580 to the nearest pound
Hence, about 580 pounds of candy that sells for $0.79 per lb must be mixed with candy that sells for $1.35 per lb to obtain 8 tons of a mixture that should sell for $335 per ton.
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When the price of a cup of tea is BHD 0.200, each MBA student will demand 2 cups of tea every day. There are 75 MBA students. When the price goes up to BD 0.300, they will demand just 1 cup of tea each day. Derive the market demand curve of tea for MBA students. Find the price elasticity of individual as well as the market demand curve.
Answers
The market demand curve for tea is downward sloping. The price elasticity of demand is 4, indicating elastic demand.
To derive the market demand curve for tea, we need to calculate the total quantity demanded at different prices by summing the individual quantities demanded by MBA students.
At a price of BHD 0.200, the total quantity demanded is 2 cups * 75 students = 150 cups. At a price of BHD 0.300, the total quantity demanded is 1 cup * 75 students = 75 cups. The market demand curve for tea for MBA students is a downward-sloping line connecting these two points.
To find the price elasticity of demand, we use the formula: Price elasticity = (% change in quantity demanded) / (% change in price). For the individual demand curve, the price elasticity can be calculated as (1/2) / (0.1/0.2) = 4.
For the market demand curve, the price elasticity is the average of the individual elasticities, which is also 4. This indicates that the demand for tea by MBA students is relatively elastic, meaning that a small change in price will result in a relatively large change in the quantity demanded.
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How do you determine the equation of the line that is perpendicular to the given line?.
Answers
The equation of line that is perpendicular to given line is (y-y1) = m(x - x1)
A perpendicular line is a straight line through a point. It makes an angle of 90 degrees with a particular point through which the line passes. Coordinates and line equation is the pre-requisite to finding out the perpendicular line.
Consider the equation of the line is ax + by + c = 0 and coordinates are (x1, y1), the slope m1 = − a/b.
If one line is perpendicular to this line, the product of slopes should be -1. Let m1 and m2 be the slopes of two lines, and if they are perpendicular to each other, then their product will be -1.
So , the slope of line will be given that is m1
To find out the slope of perpendicular line ,
m1 . m2 = -1
=> m2 = -1 / m1
=> m2 = -b/a is slope of perpendicular line
So, the equation of perpendicular line is :
(y - y1 ) = m2 (x - x1)
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It takes 21 minutes for a certain population of
bacteria to double. If there are 8,014,627 bacteria in
this population at 10 a.m., what is the best estimate,
in millions, of the number of bacteria at 10:42 a.m.
on the same day?
Answers
Answer:
32,058,508 bacteria at 10:42am
Step-by-step explanation:
10am: 8,014,627
10:21: 8,014,627 × 2 (doubled) = 16,029,254
10:42: 16,029,254 × 2 (doubled) = 32,058,508
Solve for b in terms of a and C.
c=ab
Answers
Answer:
b = c/a
Step-by-step explanation:
simply make b the subject.
chris calculated the volume of three identical boxes.one of the boxes is modeled in the diagram.what is the combined volume of the three boxes in cubic feet
Answers
The volume for the boxes that are held by Chris will be 80ft³.
How to explain the volumeVolume refers to the amount of space that a three-dimensional object occupies. It is typically measured in cubic units, such as cubic meters or cubic feet. The volume of an object can be calculated using various formulas depending on the shape of the object.
Volume is an important concept in many fields, including physics, engineering, and architecture. It is also used in everyday life, such as when measuring the amount of liquid in a container or determining the capacity of a storage space.
Volume = area of the base × height
V= L× w × h =B × h
The volume for one box = 1 1/3 × 10
= 40/3 = 13 1/3
The volume for 6 boxes= 6 × 13 1/3 = 80 ft³
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Total Volume in cubic feet and express answer in mixed fraction
chris has 6 identical boxes. The rectangular base of each box has an area 1 1/3 ft 3. The height of each box is 10 inches. What is the total volume of all the boxes in cubic feet?
11x + 4y = 32
x = -2y - 2
Answers
Which of the following coordinates are exactly 5 units from (2, -1)? Select all that apply.
(3, 4)
(5, 3)
(-2, 2)
(-3, -1)
20 Brainly points!
Answers
Answer:
-3-1
Step-by-step explanation:
suppose that the weight, x, in pounds, of a 40-year-old man is a normal random variable with mean 147 and standard deviation 16. calculate p(120≤x≤153). round your answer to four decimal places.
Answers
0.6004 is standard deviation of equation .
Why is there a standard deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.An individual collection of data is compared to the average of several other sets of data using the standard deviation. You can compute two different forms of standard deviation: When data are gathered from every person in a population or collection, it is the population standard deviation.=0.6004$P(120≤X≤153)=0.6004
The mean is μ=147, and the standard deviation is σ=16.
0.6462−0.0458=0.6004.
Thus, P(120≤X≤153)=0.6004.
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At one of new york’s traffic signals, if more than 17 cars are held up at the intersection, a traffic officer will intervene and direct the traffic. the hourly traffic pattern from 12:00 p.m. to 10:00 p.m. mimics the random numbers generated between 5 and 25. (this holds true if there are no external factors such as accidents or car breakdowns.) scenario hour number of cars held up at intersection a noon−1:00 p.m. 16 b 1:00−2:00 p.m. 24 c 2:00−3:00 p.m. 6 d 3:00−4:00 p.m. 21 e 4:00−5:00 p.m. 15 f 5:00−6:00 p.m. 24 g 6:00−7:00 p.m. 9 h 7:00−8:00 p.m. 9 i 8:00−9:00 p.m. 9 based on the data in the table, what is the random variable in this scenario? a. the time interval between two red lights b. the number of traffic accidents that occur at the intersection c. the number of times a traffic officer monitors the signal d. the number of cars held up at the intersection
Answers
The random variable in this scenario is the number of cars held up at the intersection (option d).
The data provided in the table shows the number of cars held up at the intersection during specific time intervals, ranging from 12:00 p.m. to 9:00 p.m. Based on this information, it is clear that the random variable in this scenario is the number of cars held up at the intersection.
To put it in mathematical terms, let X be the random variable representing the number of cars held up at the intersection during a specific time interval. The data provided in the table represents a sample of X, with each time interval being a different observation. The values of X can range from 0 to 25, with 17 being the threshold for intervention by a traffic officer.
Therefore, the answer to the question is d. the number of cars held up at the intersection. It is important to note that this random variable is discrete, as it takes on specific integer values.
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