Testing: H0:μ≤24H0:μ≤24 H1:μ>24H1:μ>24 Your sample consists of 34 values, with a sample mean of 24.8. Suppose the population standard deviation is known to be 2.36. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At α=0.08α=0.08, the rejection region is z<-1.75z<-1.75 z<-1.41z<-1.41 z>1.41z>1.41 z>1.75z>1.75 z<-1.41orz>1.41z<-1.41orz>1.41 z<-1.75orz>1.75z<-1.75orz>1.75 c) The decision is to Reject the null hypothesis Accept the null hypothesis Accept the alternative hypotheis Fail to reject the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? Type II Type I
Testing: H0:μ≤24H0:μ≤24 H1:μ>24H1:μ>24 Your sample consists of 34 values, with a sample mean of 24.8. Suppose the population standard deviation is known to be 2.36. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At α=0.08α=0.08, the rejection region is z<-1.75z<-1.75 z<-1.41z<-1.41 z>1.41z>1.41 z>1.75z>1.75 z<-1.41orz>1.41z<-1.41orz>1.41 z<-1.75orz>1.75z<-1.75orz>1.75 c) The decision is to Reject the null hypothesis Accept the null hypothesis Accept the alternative hypotheis Fail to reject the null hypothesis d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that? Type II Type I
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Testing:
H0:μ≤24H0:μ≤24
H1:μ>24H1:μ>24
Your sample consists of 34 values, with a sample mean of 24.8. Suppose the population standard deviation is known to be 2.36.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
z=z=
b) At α=0.08α=0.08, the rejection region is
- z<-1.75z<-1.75
- z<-1.41z<-1.41
- z>1.41z>1.41
- z>1.75z>1.75
- z<-1.41orz>1.41z<-1.41orz>1.41
- z<-1.75orz>1.75z<-1.75orz>1.75
c) The decision is to
- Reject the null hypothesis
- Accept the null hypothesis
- Accept the alternative hypotheis
- Fail to reject the null hypothesis
d) Suppose you mistakenly rejected the null hypothesis in this problem, what type of error is that?
- Type II
- Type I
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