Question

A survey of a group of students at a certain college, we call College ABC, asked:...

A survey of a group of students at a certain college, we call College ABC, asked: "About how many hours do you study in a week?" The mean response of the 400 students is 15.8 hours. Suppose that the study time distribution of the population is known to be normal with a standard deviation of 8.5 hours. Use the survey results to construct a 95% confidence interval for the mean study time at the College ABC. Show your work neatly.

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

Homework Answers

Answer #1

Solution :

Given that,

Sample size = n = 400

Z/2 = 1.96

Margin of error = E = Z/2* ( /n)

= 1.96 * (8.5 / 400)

= 0.8

At 95% confidence interval estimate of the population mean is,

- E < < + E

15.8 - 0.8 < < 15.8 + 0.8

15.0 < < 16.6

(15.0 , 16.6)

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 group of 463 first-year college students were asked, “About how many hours do you study...
A group of 463 first-year college students were asked, “About how many hours do you study during a typical week?” The mean response is 15.3 hours. Assume that the study time is normally distributed with a sample standard deviation of 8.5 hours. Construct a 99% confidence level interval for the mean study time of all first-year students.
ch16 #13. (16.19) A class survey in a large class for first-year college students asked, "About...
ch16 #13. (16.19) A class survey in a large class for first-year college students asked, "About how many hours do you study in a typical week?". The mean response of the 462 students was x⎯⎯hat = 14 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation 8 hours in the population of all first-year students at this university. What is the 99% confidence interval (±±0.001) for the population mean? Confidence interval is from...
Question 1. A class survey of 400 students was given in which students at College ABC...
Question 1. A class survey of 400 students was given in which students at College ABC claimed to study an average of 15.8 hours per week. Consider these students as a simple random sample from the particular population of College ABC students. We want to investigate the question: Does the survey provide good evidence that students study more than 15 hours per week on average? Assume the population of hours studied is normal with a standard deviation of 4. a)...
A class survey in a large class for first-year college students asked, "About how many minutes...
A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 285 students was x⎯⎯⎯x¯ = 132 minutes. Suppose that we know that the study time follows a Normal distribution with standard deviation σσ = 65 minutes in the population of all first-year students at this university. Use the survey result to give a 95% confidence interval for the mean study time of...
In a survey of a SRS of 463 first-year college students the students were asked about...
In a survey of a SRS of 463 first-year college students the students were asked about studying habits. Among these students the mean response of studying time was 15.3 hours. Suppose we know that study time among similar students varies with standard deviation 8.5 hours. Does this study give statistically significant evidence at the 0.05 significance level that students generally claim to study more than 15 hours per week on average?  For full credit, perform a complete significance test (that is,...
A class survey in a large class for first-year college students asked, "About how many hours...
A class survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 468 students was x = 15.3 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation σ = 8.5 hours in the population of all first-year students at this university. Regard these students as an SRS from the population of all first-year students at this university....
A survey in a large class for first-year college students asked, "About how many hours do...
A survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 461 students was x = 15.3 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation σ = 8.5 hours for all first-year students at this university. Does the survey results provide evidence (at the 0.05 level) of students claiming to study more than 15 hours per...
(1 point) A class survey in a large class for first-year college students asked, "About how...
(1 point) A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the 278 students was x⎯⎯⎯ = 147 minutes. Suppose that we know that the study time follows a Normal distribution with standard deviation σ = 65 minutes in the population of all first-year students at this university. Use the survey result to give a 90% confidence interval for the mean study...
A class survey in a large class for first-year college students asked, "About how many hours...
A class survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 463 students was x = 15.4 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation σ = 8.9 hours in the population of all first-year students at this university. (a) Use the survey result to give a 99% confidence interval for the mean study time...
A class survey in a large class for first-year college students asked, "About how many hours...
A class survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" There were 464 responses to the class survey. Suppose that we know that the study time follows a Normal distribution with standard deviation σ = 8.6 hours in the population of all first-year students at this university. One student claimed to study 10,000 hours per week (10,000 is more than the number of hours in a year)....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT