You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 67.7 Haip<67.7 You believe the population is normally distributed and you know the standard deviation is o = 6.6. You obtain a sample mean of M = 66.7 for a sample of size n 54. %3D

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You wish to test the following claim (Ha) at a significance level of a = 0.02.
H.:µ = 67.7
Haip<67.7
You believe the population is normally distributed and you know the standard deviation
is o = 6.6. You obtain a sample mean of M = 66.7 for a sample of size n
54.
%3D
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.02. H.:µ = 67.7 Haip<67.7 You believe the population is normally distributed and you know the standard deviation is o = 6.6. You obtain a sample mean of M = 66.7 for a sample of size n 54. %3D
Expert Solution
Null and alternative hypotheses:

Statistics homework question answer, step 1, image 1

Test statistic:

Since population standard deviation is known, it is appropriate to use z distribution.

The test statistic is computed as follows:

Statistics homework question answer, step 2, image 1

p-value:

Using Excel formula “=NORM.S.DIST(-1.113,TRUE)”, the p-value is obtained as 0.1329.

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