IMathAS-libretexts

Test the claim that the mean GPA of night students is larger than 3.1 at the 0.025 significance level.

The null and alternative hypothesis would be:

\displaystyle {H}_{{0}}:\mu={3.1}

\displaystyle {H}_{{1}}:\mu≠{3.1}

\displaystyle {H}_{{0}}:{p}\ge{0.775}

\displaystyle {H}_{{1}}:{p}<{0.775}

\displaystyle {H}_{{0}}:{p}\le{0.775}

\displaystyle {H}_{{1}}:{p}>{0.775}

\displaystyle {H}_{{0}}:\mu\le{3.1}

\displaystyle {H}_{{1}}:\mu>{3.1}

\displaystyle {H}_{{0}}:\mu\ge{3.1}

\displaystyle {H}_{{1}}:\mu<{3.1}

\displaystyle {H}_{{0}}:{p}={0.775}

\displaystyle {H}_{{1}}:{p}≠{0.775}

The test is:

left-tailed

two-tailed

right-tailed

Based on a sample of 30 people, the sample mean GPA was 3.15 with a standard deviation of 0.06

The p-value is: (to 2 decimals)

Based on this we: