Testing: H0:μ≥30.2H0:μ≥30.2 H1:μ<30.2H1:μ<30.2 Your sample consists of 24 values, with a sample mean of 30. Suppose the population standard deviation is known to be 4.79. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At α=0.03α=0.03, the rejection region is z>1.88z>1.88 z>2.17z>2.17 z<-2.17z<-2.17 z<-2.17orz>2.17z<-2.17orz>2.17 z<-1.88orz>1.88z<-1.88orz>1.88 z<-1.88z<-1.88 c) The decision is to Fail to reject the null hypothesis Reject the null hypothesis Accept the null hypothesis
Testing: H0:μ≥30.2H0:μ≥30.2 H1:μ<30.2H1:μ<30.2 Your sample consists of 24 values, with a sample mean of 30. Suppose the population standard deviation is known to be 4.79. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At α=0.03α=0.03, the rejection region is z>1.88z>1.88 z>2.17z>2.17 z<-2.17z<-2.17 z<-2.17orz>2.17z<-2.17orz>2.17 z<-1.88orz>1.88z<-1.88orz>1.88 z<-1.88z<-1.88 c) The decision is to Fail to reject the null hypothesis Reject the null hypothesis Accept the null hypothesis
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Testing:
H0:μ≥30.2H0:μ≥30.2
H1:μ<30.2H1:μ<30.2
Your sample consists of 24 values, with a sample mean of 30. Suppose the population standard deviation is known to be 4.79.
a) Calculate the value of the test statistic, rounded to 2 decimal places.
z=z=
b) At α=0.03α=0.03, the rejection region is
- z>1.88z>1.88
- z>2.17z>2.17
- z<-2.17z<-2.17
- z<-2.17orz>2.17z<-2.17orz>2.17
- z<-1.88orz>1.88z<-1.88orz>1.88
- z<-1.88z<-1.88
c) The decision is to
- Fail to reject the null hypothesis
- Reject the null hypothesis
- Accept the null hypothesis
- Accept the alternative hypotheis
d) Suppose you mistakenly failed to reject the null hypothesis in this problem, what type of error is that?
- Type I
- Type II
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