Test the claim that the mean GPA of nightstudents is larger than 2.1 at the 0.05 significancelevel.The null and alternative hypothesis would be:Ho: 4 < 2.1 H, :pH1: µ > 2.1 H1:p + 0.525 H1:p > 0.5250.525 Ho:p < 0.525Ho: µ = 2.1 H, : u > 2.1 Ho:p > 0.525Н:р + 2.1 Н:n < 2.1 Ні:р < 0.525The test is:two-tailed right-tailed left-tailedBased on a sample of 55 people, the samplemean GPA was 2.14 with a standard deviation of0.02The p-value is:(to 2decimals)Based on this we:Reject the null hypothesisFail to reject the null hypothesis

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Description: Test the claim that the mean GPA of nightstudents is larger than 2.1 at the 0.05 significancelevel.The null and alternative hypothesis would be:Ho: 4 2.1 H1:p + 0.525 H1:p > 0.5250.525 Ho:p 2.1 Ho:p > 0

Hypothesis: The null and alternate hypothesis would be: H0: μ≤2.1H1: μ>2.1 The test is : right…

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Test the claim that the mean GPA of night students is larger than 2.1 at the 0.05 significance level. The null and alternative hypothesis would be: Но : и< 2.1 Н:р 3D 0.525 Но:р< 0.525 H:д > 2.1 Н:р + 0.525 Ні:р> 0.525 Но: и 3D 2.1 Но : д> 2.1 Но:p> 0.525 H:и + 2.1 H :n < 2.1 Ні:р 0.525 The test is: two-tailed right-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.14 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

Test the claim that the mean GPA of night students is larger than 2.1 at the 0.05 significance level. The null and alternative hypothesis would be: Но : и< 2.1 Н:р 3D 0.525 Но:р< 0.525 H:д > 2.1 Н:р + 0.525 Ні:р> 0.525 Но: и 3D 2.1 Но : д> 2.1 Но:p> 0.525 H:и + 2.1 H :n < 2.1 Ні:р 0.525 The test is: two-tailed right-tailed left-tailed Based on a sample of 55 people, the sample mean GPA was 2.14 with a standard deviation of 0.02 The p-value is: (to 2 decimals) Based on this we: Reject the null hypothesis Fail to reject the null hypothesis

A First Course in Probability (10th Edition)

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Topic Video

Question

Test the claim that the mean GPA of night
students is larger than 2.1 at the 0.05 significance
level.
The null and alternative hypothesis would be:
Ho: 4 < 2.1 H, :p
H1: µ > 2.1 H1:p + 0.525 H1:p > 0.525
0.525 Ho:p < 0.525
Ho: µ = 2.1 H, : u > 2.1 Ho:p > 0.525
Н:р + 2.1 Н:n < 2.1 Ні:р < 0.525
The test is:
two-tailed right-tailed left-tailed
Based on a sample of 55 people, the sample
mean GPA was 2.14 with a standard deviation of
0.02
The p-value is:
(to 2
decimals)
Based on this we:
Reject the null hypothesis
Fail to reject the null hypothesis

Expert Solution

Step 1

Hypothesis:

The null and alternate hypothesis would be:

$H_{0} : μ \leq 2.1 H_{1} : μ > 2.1$

The test is : right tailed.

The test statistic is obtained as below:

$\begin{array}{rcl} t & = & \frac{\bar{x} - μ}{\frac{s}{\sqrt{n}}} \\ = & \frac{2.14 - 2.1}{\frac{0.02}{\sqrt{55}}} \\ = & \frac{0.04}{0.0027} \\ = & 14.8324 \end{array}$

Thus, the test statsitic is 14.8324.

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