Homework Help is Here – Start Your Trial Now!
Math
Statistics
A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5181 years and 1 year, respectively The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.6. The private university students took on average 4.1 years with a standard deviation of 0.3. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5181 years and 1 year, respectively The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.6. The private university students took on average 4.1 years with a standard deviation of 0.3. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

MATLAB: An Introduction with Applications
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
icon
Related questions
Question

Need help solving on a ti-83 or 84

O Part (d) State the distribution to use for the test. (Round your answers to two decimal places.) Xstate - Xprivate - ? v O Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer 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 Ho is true, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is 0.40 or more years less than the sample average graduation time of students at private universities. O If H, is false, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is at least 0.40 years more than the sample average graduation time of students at private universities. O If Ho is false, then there is equal p-value that sample average graduation time of the California university system students i 0.40 or more years than the sample average graduation time students at private universities. O If Ho is true, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is at least 0.40 years more than the sample average graduation time of students at private universities.
Transcribed Image Text:O Part (d) State the distribution to use for the test. (Round your answers to two decimal places.) Xstate - Xprivate - ? v O Part (e) What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer 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 Ho is true, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is 0.40 or more years less than the sample average graduation time of students at private universities. O If H, is false, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is at least 0.40 years more than the sample average graduation time of students at private universities. O If Ho is false, then there is equal p-value that sample average graduation time of the California university system students i 0.40 or more years than the sample average graduation time students at private universities. O If Ho is true, then there is a chance equal to the p-value that the sample average graduation time of the California state university system students is at least 0.40 years more than the sample average graduation time of students at private universities.
A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5181 years and 1 year, respectively. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.6. The private university students took on average 4.1 years with a standard deviation of 0.3. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) State the null hypothesis. O Họ: Hstate <Hprivate O Ho: Hstate + Hprivate O Ho: Hstate S Hprivate O Họ: Hstate > Hprivate O Part (b) State the alternative hypothesis. O Hai Hstate = Hprivate O Hgi Hstate < Hprivate O Hg: Hstate * Hprivate O Hg: Hstate > Hprivate O Part (c) In words, state what your random variable Xstate - Xprivate represents. O Xetate - Xorivate represents the difference in the average amount of time needed to graduate from a state university and a private university. O Xstate - Xprivate represents the average of the differences in the amount of time needed to graduate from a state university and a private university. O Xetate - Xorivate represents the difference in the amount of time needed to graduate from a state university and a private university. O Xstate - Xorivate represents the average amount of time needed to graduate from a university.
Transcribed Image Text:A study is done to determine if students in the California state university system take longer to graduate, on average, than students enrolled in private universities. One hundred students from both the California state university system and private universities are surveyed. Suppose that from years of research, it is known that the population standard deviations are 1.5181 years and 1 year, respectively. The following data are collected. The California state university system students took on average 4.5 years with a standard deviation of 0.6. The private university students took on average 4.1 years with a standard deviation of 0.3. Conduct a hypothesis test at the 5% level. NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) State the null hypothesis. O Họ: Hstate <Hprivate O Ho: Hstate + Hprivate O Ho: Hstate S Hprivate O Họ: Hstate > Hprivate O Part (b) State the alternative hypothesis. O Hai Hstate = Hprivate O Hgi Hstate < Hprivate O Hg: Hstate * Hprivate O Hg: Hstate > Hprivate O Part (c) In words, state what your random variable Xstate - Xprivate represents. O Xetate - Xorivate represents the difference in the average amount of time needed to graduate from a state university and a private university. O Xstate - Xprivate represents the average of the differences in the amount of time needed to graduate from a state university and a private university. O Xetate - Xorivate represents the difference in the amount of time needed to graduate from a state university and a private university. O Xstate - Xorivate represents the average amount of time needed to graduate from a university.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Integers
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
SEE MORE TEXTBOOKS