Question

Given the sample statistics below, what would you conclude to a test whether the population mean...

Given the sample statistics below, what would you conclude to a test whether the population mean GPA of Stats II students is different from 3.12? Use a 0.05 significance level?

sample size = 30

sample mean = 3.231

sample standard deviation = 0.3401

Select one:

The average GPA is equal to 3.12

The average GPA is not equal to 3.12

More information is required to conclude

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

H0: = 3.12

Ha: 3.12

Test statistics

t = ( - ) / (S / sqrt(n) )

= (3.231 - 3.12 ) / (0.3401 / sqrt(30) )

= 1.79

Critical value at 0.05 level with df of 29 = -2.045 , 2.045

Since test statistics falls in non-rejection region, Do not reject H0.

We conclude that we fail to support the claim.

Answer : The average GPA is equal to 3.12

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