Question

The college is interested in determining how many hours each week students spend working each week....

The college is interested in determining how many hours each week students spend working each week. They wish to estimate the number to within half an hour. A small pilot study showed a mean number of hours worked of 33 with a standard deviation of 4.8 hours. How many college students should the college study if they wish to be 99% confident of their results?

Show all work

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Solution :

Given that,

Population standard deviation = =4.8

Margin of error = E = 0.5

At 99% confidence level the z is ,

= 1 - 99% = 1 - 0.99 = 0.01

/ 2 = 0.01 / 2 = 0.005

Z/2 = Z0.005 = 2.576

sample size = n = (Z/2* / E) 2

n = (2.576 * 4.8/ 0.5)2

n = 611.55

n = 612

Sample size = 612

612 college students should the college study if they wish to be 99% confident of their results.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A professor at a local community college is interested in studying the amount of hours that...
A professor at a local community college is interested in studying the amount of hours that a college student works per week. If the professor would like to construct a 99% confidence interval for the mean hours worked per week by college students within 1.4 hours, what sample size would the professor need? A previous study found that the standard deviation for the amount of hours students work per week was 3.19 hours.
Suppose you are interested in determining the mean number of hours students spent working out each...
Suppose you are interested in determining the mean number of hours students spent working out each week. You want a 95% level of confidence and a maximum error of 0.25 hours. Assuming the standard deviation is 2.27 hours, what is the minimum number of students you must include in your sample? You must show a filled-out formula.
In order to determine how many hours per week freshmen college students watch television, a random...
In order to determine how many hours per week freshmen college students watch television, a random sample of 25 students was selected. It was determined that the students in the sample spent an average of 19.5 hours with a sample standard deviation of 3.9 hours watching TV per week. Please answer the following questions: (a) Provide a 95% confidence interval estimate for the average number of hours that all college freshmen spend watching TV per week. (b) Assume that a...
You want to estimate the average time college students spend studying per week. You know that...
You want to estimate the average time college students spend studying per week. You know that the population standard deviation for studying time per week for college students is 3.5 hours. You want a 99% confidence interval with a margin of error of 30 minutes (0.50 hours). How many students do you need in your study? Group of answer choices 188.24 students 325 students 324.9 students 189 students
A student organization wondered how many hours per week college students study during a term. The...
A student organization wondered how many hours per week college students study during a term. The organization obtained a list of all students at their university and randomly selected 100 from the list. They contacted all 100 students and all 100 provided their best estimate of the number of hours they typically study per week. A​ 95% confidence interval for the mean number of hours studied per week was constructed. Based on this​ study, to what population can we make...
During a blood-donor program conducted during finals week for college students, a blood-pressure reading is taken...
During a blood-donor program conducted during finals week for college students, a blood-pressure reading is taken first, revealing that out of 250 donors, 33 have hypertension. All answers to three places after the decimal. Assuming our sample of donors is among the most typical half of such samples, the true proportion of college students with hypertension during finals week is between _____ and _____. We are 99% confident that the true proportion of college students with hypertension during finals week...
1. (6 pts) A Community College is interested in the mean number of hours worked each...
1. (6 pts) A Community College is interested in the mean number of hours worked each week by full-time students at the college. A sample of 40 students is selected and these students are asked about the number of hours they work each week. a) What is the population? The population would be full time college students. b) What is the sample? The sample would be 40. c) What is the variable? The variable is d) Is the variable qualitative...
The University College is interested in the average number of hours per week that freshmen spend...
The University College is interested in the average number of hours per week that freshmen spend going to parties. They took a random sample of 300 freshmen and calculated a mean of 6 hours a week going to parties and a 95% confidence interval for the population mean to be 4 to 8 hours a week. Based on this information, what was their standard error of the mean? Group of answer choices 4 2 1 .67
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to...
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence to show that this is not true at her university. A random sample of 33 students was asked to keep a diary of their activities over a period of several weeks. It was found that the average number of hours that the 33 students studied each week was 22.2 hours. The sample...
UVA wants to estimate the average number of hours students spend studying on campus each week....
UVA wants to estimate the average number of hours students spend studying on campus each week. They sample 54 students. This sample showed an average of 15.4 hours per week with a standard deviation for the sample of 9.2 hours. They want a 90% confidence interval a) what is the 90% confidence interval? (give the interval, 3 decimal places) b) what is the margin of error? (give the interval, 3 decimal places) c) write a sentence summarizing the meaning of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT