(c) State the critical region. (d) You find that the test statistic value is +0.41. Based on your critical region, what decision do you make regarding the null hypothesis (i.e. do you Reject H, or Do Not Reject Ho)? (e) State your conclusion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Answer E et D

2. Suppose you are testing 

\( H_0: \mu = 47 \) versus \( H_1: \mu < 47 \).

The sample is small (\( n = 15 \)) and the data come from a normal population. The variance, \( \sigma^2 \), is unknown.

(a) Should you use \( z \) or \( t \) when finding a critical region for this scenario?

(b) Find the critical value(s) corresponding to \( \alpha = 0.09 \).

(c) State the critical region.

(d) You find that the test statistic value is \( +0.41 \). Based on your critical region, what decision do you make regarding the null hypothesis (i.e., do you Reject \( H_0 \) or Do Not Reject \( H_0 \))?

(e) State your conclusion.
Transcribed Image Text:2. Suppose you are testing \( H_0: \mu = 47 \) versus \( H_1: \mu < 47 \). The sample is small (\( n = 15 \)) and the data come from a normal population. The variance, \( \sigma^2 \), is unknown. (a) Should you use \( z \) or \( t \) when finding a critical region for this scenario? (b) Find the critical value(s) corresponding to \( \alpha = 0.09 \). (c) State the critical region. (d) You find that the test statistic value is \( +0.41 \). Based on your critical region, what decision do you make regarding the null hypothesis (i.e., do you Reject \( H_0 \) or Do Not Reject \( H_0 \))? (e) State your conclusion.
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