Question

0/1 pt 3 19 Details Fayech University claims that the mean GPA of night students is approximately normally distributed with mean 3.5 with a population standard deviation of 0.04. We wish to test the claim that the mean GPA of night students is smaller than 3.5 at the 0.005 significance level. Based on a sample of 30 people, we find the sample mean GPA was 3.45. The null and alternative hypothesis would be: $H_0: \mu = 3.5$ $H_0: p = 3.5$ $H_0: p = 3.5$ $H_1: \mu > 3.5$ $H_1: p < 3.5$ $H_1: p > 3.5$ $H_0: \mu = 3.5$ $H_0: p = 3.5$ $H_0: \mu = 3.5$ $H_1: \mu \neq 3.5$ $H_1: p \neq 3.5$ $H_1: \mu < 3.5$ The test is: right-tailed left-tailed two-tailed We should use a: $\circ$ z-test for the proportion $\circ$ t-test for the mean $\circ$ z-test for the mean The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: $\circ$ Fail to reject the null hypothesis $\circ$ Reject the null hypothesis

          0/1 pt 3 19 Details
Fayech University claims that the mean GPA of night
students is approximately normally distributed with mean
3.5 with a population standard deviation of 0.04.
We wish to test the claim that the mean GPA of night
students is smaller than 3.5 at the 0.005 significance
level.
Based on a sample of 30 people, we find the sample
mean GPA was 3.45.
The null and alternative hypothesis would be:
$H_0: \mu = 3.5$  $H_0: p = 3.5$  $H_0: p = 3.5$
$H_1: \mu > 3.5$  $H_1: p < 3.5$  $H_1: p > 3.5$
$H_0: \mu = 3.5$  $H_0: p = 3.5$  $H_0: \mu = 3.5$
$H_1: \mu \neq 3.5$  $H_1: p \neq 3.5$  $H_1: \mu < 3.5$
The test is:
right-tailed left-tailed two-tailed
We should use a:
$\circ$ z-test for the proportion
$\circ$ t-test for the mean
$\circ$ z-test for the mean
The test statistic is:
(to 2 decimals)
The p-value is:
(to 2 decimals)
Based on this we:
$\circ$ Fail to reject the null hypothesis
$\circ$ Reject the null hypothesis

0/1 pt 3 19 Details
Fayech University claims that the mean GPA of night
students is approximately normally distributed with mean
3.5 with a population standard deviation of 0.04.
We wish to test the claim that the mean GPA of night
students is smaller than 3.5 at the 0.005 significance
level.
Based on a sample of 30 people, we find the sample
mean GPA was 3.45.
The null and alternative hypothesis would be:
H0: μ = 3.5 H0: p = 3.5 H0: p = 3.5
H1: μ > 3.5 H1: p < 3.5 H1: p > 3.5
H0: μ = 3.5 H0: p = 3.5 H0: μ = 3.5
H1: μ≠ 3.5 H1: p ≠ 3.5 H1: μ < 3.5
The test is:
right-tailed left-tailed two-tailed
We should use a:
∘ z-test for the proportion
∘ t-test for the mean
∘ z-test for the mean
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

Added by Cassandra P.

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