IMathAS-libretexts

Test the claim that the mean GPA of night students is significantly different than 3.4 at the 0.01 significance level.

The null and alternative hypothesis would be:

\displaystyle {H}_{{0}}:{p}={0.85}

\displaystyle {H}_{{1}}:{p}<{0.85}

\displaystyle {H}_{{0}}:\mu={3.4}

\displaystyle {H}_{{1}}:\mu≠{3.4}

\displaystyle {H}_{{0}}:\mu={3.4}

\displaystyle {H}_{{1}}:\mu>{3.4}

\displaystyle {H}_{{0}}:{p}={0.85}

\displaystyle {H}_{{1}}:{p}>{0.85}

\displaystyle {H}_{{0}}:{p}={0.85}

\displaystyle {H}_{{1}}:{p}≠{0.85}

\displaystyle {H}_{{0}}:\mu={3.4}

\displaystyle {H}_{{1}}:\mu<{3.4}

The test is:

right-tailed

two-tailed

left-tailed

Based on a sample of 40 people, the sample mean GPA was 3.38 with a standard deviation of 0.06

The test statistic is: (to 2 decimals)

The positive critical value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

License