Question

Test the claim that the mean GPA of Orange Coast students is significantly different than the mean GPA of Coastline students at the 0.01 significance level.

The null and alternative hypothesis would be:

H0:pO≤pC
H1:pO>pC

H0:μO≥μC
H1:μO<μC

H0:pO=pC
H1:pO≠pC

H0:pO≥pC
H1:pO<pC

H0:μO=μC
H1:μO≠μC

H0:μO≤μC
H1:μO>μC

The test is:

left-tailed

two-tailed

right-tailed

The sample consisted of 30 Orange Coast students, with a sample mean GPA of 2.96 and a standard deviation of 0.07, and 30 Coastline students, with a sample mean GPA of 2.97 and a standard deviation of 0.05.

The test statistic is:  (to 2 decimals)

The p-value is:  (to 2 decimals)

Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis

Answer 1

solution from the given data Hoi lo = te Hilo & Mc This is two-tailed test fest stahshic 2,- 72 to S? n + S? n Dom given data. 2.96-2.97 ta (0.07)? (0.05) + 30 30 -0.01 0.015705623 t = -0.63671454 + -0.64 2 silni t S, ni of a (5:6)%-1 + ($/m/02-1

2ܐ (o-o7) tܝܘ.O + 30 30 ܙ ' c7o.ܘ) (o.co 3o- ܛ 3 5-) ܕ S 2 ، 4198 df ܐܐ 6 2 P-value ܪ̈ܠܰ2 v382; ܙo ܕ (..ܘ ܣ < flo .' , we fail do reject