Homework Help is Here – Start Your Trial Now!
Math
Statistics
5. Twenty five independent observations are taken from a normal distribution with mean 4, and variance 9. Another twenty-five independent observations are taken from a separate normal distribution with mean u, and variance 16. The mean of the first sample is 3.5 and the mean from the second sample is 5.0. Show that: a) The null hypothesis µ, = 5 is rejected by a significance test at the 5% level. b) The null hypothesis µ, = H, is accepted by a significance test at the 5% level.

5. Twenty five independent observations are taken from a normal distribution with mean 4, and variance 9. Another twenty-five independent observations are taken from a separate normal distribution with mean u, and variance 16. The mean of the first sample is 3.5 and the mean from the second sample is 5.0. Show that: a) The null hypothesis µ, = 5 is rejected by a significance test at the 5% level. b) The null hypothesis µ, = H, is accepted by a significance test at the 5% level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
See similar textbooks
icon
Related questions
Question
5. Twenty five independent observations are taken from a normal distribution with mean µ, and variance 9. Another twenty-five independent observations are taken from a separate normal distribution with mean µ, and variance 16. The mean of the first sample is 3.5 and the mean from the second sample is 5.0. Show that: a) The null hypothesis µ, = 5 is rejected by a significance test at the 5% level. b) The null hypothesis µ, = µz is accepted by a significance test at the 5% level.
Transcribed Image Text:5. Twenty five independent observations are taken from a normal distribution with mean µ, and variance 9. Another twenty-five independent observations are taken from a separate normal distribution with mean µ, and variance 16. The mean of the first sample is 3.5 and the mean from the second sample is 5.0. Show that: a) The null hypothesis µ, = 5 is rejected by a significance test at the 5% level. b) The null hypothesis µ, = µz is accepted by a significance test at the 5% level.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS