The average student-loan debt is reported to be $25,235. A student believes that the student-loandebt is higher in her area. She takes a random sample of 100 college students in her area anddetermines the mean student-loan debt is $27,524 and the standard deviation is $6,000. Is theresufficient evidence to support the student's claim at a 5% significance level?Preliminary:a. Is it safe to assume that n < 5% of all college students in the local area?YesO Nob. is n> 30?YesO NOTest the claim:c. Determine the null and alternative hypotheses. Enter correct symbol and value.Ho:Ημ?νd. Determine the test statistic. Round to two decimals.te. Find the p-value. Round to 4 decimals.p-value =f. Make a decision.O Fail to reject the null hypothesis.O Reject the null hypothesis.

The question is about hypothesis testing.Given :Population mean student loan debt ( ) =…

Answered: The average student-loan debt is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A marketing researcher wants to estimate the mean amount spent ($) on a certain retail website by members of the website's premium program. A random sample of 93 members of the website's premium program who recently made a purchase on the website yielded a mean of $1200 and a standard deviation of $150. Complete parts (a) and (b) below. a. Construct a 95% confidence interval estimate for the mean spending for all shoppers who are members of the website's premium program. |5με (Round to two decimal places as needed.)
1. The fuel efficiency of a new model pick-up truck (truck) is measured in miles per gallon (mpg). A company claims that their new truck gets 25 mpg on average. A consumer group thinks the company is lying and claims that the mean mileage for all the trucks is less than 25 mpg. In a random sample, of forty-five of these trucks the mean mpg was 23.3 mpg with a standard deviation of 5.1 mpg. a. Conduct a hypothesis test to test the consumer group's claim at the 5% significance level. Be sure to state you Ho and Ha, your test statistic and p- value, whether or not you reject Ho and whether you support the claim. b. Write a complete sentence describing what a Type I error is in context. c. Write a complete sentence describing what a Type II error is in context.
Look at the picture
1. The EPA fuel economy estimates for automobile models tested recently predicted a mean of 24.8 mpg and a standard deviation of 6.2 mpg for highway driving. a. About what percent of cars get less than 31 mpg? b. What percent of cars get more than 20 mpg? c. What percent of cars get between 22 and 30 mpg? d. What gas mileage represents the 75th percentile? e. What gas mileages separate the bottom 3% and top 3% of cars? X
bcd.
I need help.
MC Qu. 10-64 Sales at a fast-food restaurant average... Sales at a fast-food restaurant average $6,000 per day. The restaurant decided to introduce an advertising campaign to Increase daily sales. In order to determine the effectiveness of the advertising campaign, a sample of 49 day's sales were taken. The sample showed average daily sales of $6,300. From past history, the restaurant knew that its population standard deviation is about $1,000. If the level of significance is 0.01, have sales increased as a result of the advertising campaign? Multiple Choice Fail to reject the null hypothesis. Reject the null hypothesis and conclude the mean is higher than $6,000 per day. Reject the null hypothesis and conclude the mean is lower than $6,000 per day. Reject the null hypothesis and conclude that mean equal to $6,000 per day.
The manager of a Kroger grocery store claims a membership card will save consumers more than $15 per week on average. To check this claim, a random sample of 12 shoppers with membership cards was obtained and their weekly grocery bills were inspected. Suppose the sample mean was $16.35 and the sample standard deviation was $3.20. Assume the distribution of savings is normal. a. Check the necessary assumptions and conditions for doing this test. b. What are the appropriate hypotheses to test the claim? c. Calculate the appropriate test statistic and p-value. d. What is the conclusion?
You are trying to determine that average height of females living in New Jersey. To estimate this population mean, you collect a sample of 100 women and the average height of the women sampled was 54.5 inches. Assume the standard deviation of the population is 3 inches. Using a 95% confidence level, determine the following: a. Based on the poll, what is the point estimate of the mean height of female NJ residents? b. Find the margin of error for this sample. c. Construct a confidence interval to estimate the mean height of female NJ residents using a 95% confidence level. d. What sample size would be required to achieve a margin of error of less than 1 inch ?
42. The speeds of vehicles on a certain part of a highway are normally distributed with a mean of 60 mph and a standard deviation of 6 mph. Use the Empirical Rule to answer the following questions. a. Approximately what percentage of vehicles travel at a speed between 54 mph and 66 mph? b. Approximately what percentage of vehicles travel at a speed greater than 72 mph? c. Approximately what percentage of vehicles travel at a speed not greater than 78 mph?
The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. She takes a random sample of 100 college students in her area and determines the mean student-loan debt is $27,524 and the standard deviation is $6,000. Is there sufficient evidence to support the student's claim at a 5% significance level? Preliminary: a. Is it safe to assume that n 30 ? O Yes No Test the claim: a. Determine the null and alternative hypotheses. Enter correct symbol and value. Ho: 4 Ha: u ? b. Determine the test statistic. Round to two decimals. t ** c. Find the p-value. Round to 4 decimals. p-value d. Make a decision. Reject the null hypothesis. Fail to reject the null hypothesis. e. Write the conclusion. There is not sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS