Test the claim that the mean GPA of night students is larger than 2.6 at the...

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Test the claim that the mean GPA of night students is larger than 2.6 at the...

Test the claim that the mean GPA of night students is larger than 2.6 at the .10 significance level.

The null and alternative hypothesis would be:

H0:p=0.65H0:p=0.65
H1:p<0.65H1:p<0.65

H0:p=0.65H0:p=0.65
H1:p>0.65H1:p>0.65

H0:μ=2.6H0:μ=2.6
H1:μ<2.6H1:μ<2.6

H0:μ=2.6H0:μ=2.6
H1:μ>2.6H1:μ>2.6

H0:μ=2.6H0:μ=2.6
H1:μ≠2.6H1:μ≠2.6

H0:p=0.65H0:p=0.65
H1:p≠0.65H1:p≠0.65

The test is:

left-tailed

right-tailed

two-tailed

Based on a sample of 50 people, the sample mean GPA was 2.61 with a standard deviation of 0.02

The test statistic is: (to 2 decimals)

The critical value is: (to 2 decimals)

Based on this we:

Reject the null hypothesis
Fail to reject the null hypothesis

math Statistics-And-Probability

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Answer 1

Answer #1

H0:μ=2.6

H1:μ>2.6

The test is Right tailed

Test statistic,
t = (xbar - mu)/(s/sqrt(n))
t = (2.61 - 2.6)/(0.02/sqrt(50))
t = 3.54

This is right tailed test, for α = 0.1 and df = 49
Critical value of t is 1.3.

Reject the null hypothesis

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Answer 2

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