An article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 48 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% levei? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) O Part (b) O Part (c) O Part (d) State the distribution to use for the test. (Enter your answer in the form z or tar where df is the degrees of freedom.) O Part (e) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using thet distribution round your answers to three decimal places.) -Select-- v = O Part (f) What is the p-value? (Round your answer to four decimal places.) Explain what the p-value means for this problem. O If H, is false, then there is a chance equal to the p-value that the average time needed to complete an undergraduate degree is 5.1 years or more. O If Ho is true, then there is a chance equal to the p-value the average time needed to complete an undergraduate degree is not 5.1 years or more. O If Ho is false, then there is a chance equal to the p-value the average time needed to complete an undergraduate degree is not 5.1 years or more. O If Ho is true, then there is a chance equal to the p-value that the average time needed to complete an undergraduate degree is 5.1 years or more.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question

I need help, I'm having a hard time getting this problem correct

An article in the *San Jose Mercury News* stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 48 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level?

**Note:** If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

- Part (a)
- Part (b)
- Part (c)
- Part (d)

State the distribution to use for the test. (Enter your answer in the form \(z\) or \(t_{df}\) where \(df\) is the degrees of freedom.)
- [Input box]

- Part (e)

What is the test statistic? (If using the \(z\) distribution round your answers to two decimal places, and if using the \(t\) distribution round your answers to three decimal places.)
- [Dropdown box]
- [Input box]

- Part (f)

What is the \(p\)-value? (Round your answer to four decimal places.)
- [Input box]

Explain what the \(p\)-value means for this problem.

- If \(H_0\) is false, then there is a chance equal to the \(p\)-value that the average time needed to complete an undergraduate degree is 5.1 years or more.
- If \(H_0\) is true, then there is a chance equal to the \(p\)-value the average time needed to complete an undergraduate degree is not 5.1 years or more.
- If \(H_0\) is false, then there is a chance equal to the \(p\)-value the average time needed to complete an undergraduate degree is 5.1 years or more.
- If \(H_0\) is true, then there is a chance equal to the \(p\)-value the average time needed to complete an undergraduate degree is 5.1 years or more.

This text outlines a statistical hypothesis testing scenario to determine if the average time to complete an undergraduate degree in the California state university system is longer than reported.
Transcribed Image Text:An article in the *San Jose Mercury News* stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Suppose you believe that the mean time is longer. You conduct a survey of 48 students and obtain a sample mean of 5.1 with a sample standard deviation of 1.2. Do the data support your claim at the 1% level? **Note:** If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) - Part (a) - Part (b) - Part (c) - Part (d) State the distribution to use for the test. (Enter your answer in the form \(z\) or \(t_{df}\) where \(df\) is the degrees of freedom.) - [Input box] - Part (e) What is the test statistic? (If using the \(z\) distribution round your answers to two decimal places, and if using the \(t\) distribution round your answers to three decimal places.) - [Dropdown box] - [Input box] - Part (f) What is the \(p\)-value? (Round your answer to four decimal places.) - [Input box] Explain what the \(p\)-value means for this problem. - If \(H_0\) is false, then there is a chance equal to the \(p\)-value that the average time needed to complete an undergraduate degree is 5.1 years or more. - If \(H_0\) is true, then there is a chance equal to the \(p\)-value the average time needed to complete an undergraduate degree is not 5.1 years or more. - If \(H_0\) is false, then there is a chance equal to the \(p\)-value the average time needed to complete an undergraduate degree is 5.1 years or more. - If \(H_0\) is true, then there is a chance equal to the \(p\)-value the average time needed to complete an undergraduate degree is 5.1 years or more. This text outlines a statistical hypothesis testing scenario to determine if the average time to complete an undergraduate degree in the California state university system is longer than reported.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman