Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .10 significance level. The null and alternative hypothesis would be: Ho: µN Ha: UN + µD Hạ:pN + PD Ha:PN > pD Ha:µN < µD Ha:PN < Pp Ha: µN > µD = µp Ho:PN = Pp Ho:PN = Pp Ho:µN = µp Ho:PN = Pp Ho:µN = µD The test is: left-tailed two-tailed right-tailed The sample consisted of 50 night students, with a sample mean GPA of 3.32, and 35 day students, with a sample mean GPA of 3.31. The population standard deviations of each group is known to be 0.03. The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .10 significance level. The null and alternative hypothesis would be: Ho: µN Ha: UN + µD Hạ:pN + PD Ha:PN > pD Ha:µN < µD Ha:PN < Pp Ha: µN > µD = µp Ho:PN = Pp Ho:PN = Pp Ho:µN = µp Ho:PN = Pp Ho:µN = µD The test is: left-tailed two-tailed right-tailed The sample consisted of 50 night students, with a sample mean GPA of 3.32, and 35 day students, with a sample mean GPA of 3.31. The population standard deviations of each group is known to be 0.03. The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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![**Hypothesis Testing: Comparing Mean GPAs of Night vs. Day Students**
**Problem Statement:**
Test the claim that the mean GPA (Grade Point Average) of night students is larger than the mean GPA of day students at the 0.10 significance level.
**Formulating Hypotheses:**
The null and alternative hypotheses would be:
- \(H_0: \mu_N = \mu_D\) (The mean GPA of night students is equal to the mean GPA of day students)
- \(H_a: \mu_N > \mu_D\) (The mean GPA of night students is greater than the mean GPA of day students)
\[
\begin{array}{cccc}
H_0: \mu_N = \mu_D & H_0: p_N = p_D & H_0: \mu_N = \mu_D & H_0: p_N = p_D \\
H_a: \mu_N \neq \mu_D & H_a: p_N \neq p_D & H_a: \mu_N < \mu_D & H_a: p_N < p_D \\
\end{array}
\]
**Type of Test:**
This test is:
- Left-tailed
- Two-tailed
- **Right-tailed** (The test checks if the mean GPA of night students is greater than that of day students)
**Sample Data:**
- Sample of 50 night students, with a sample mean GPA of 3.32
- Sample of 35 day students, with a sample mean GPA of 3.31
- Population standard deviations of each group: 0.03
**Statistical Analysis:**
The test statistic and p-value will be calculated. To fill in the blanks providing decimal precision:
- **Test Statistic:**
\[
\text{Test Statistic} \text{ } = \text{ } \_\_\_\_\_ \text{ } \text{ (to 2 decimals)}
\]
- **p-value:**
\[
\text{p-value} \text{ } = \text{ } \_\_\_\_\_ \text{ } \text{ (to 4 decimals)}
\]
**Decision Rule:**
Based on the p-value and the chosen significance level (0.10), determine whether to:
- Reject the null hypothesis
- Fail to reject the null hypothesis
**Conclusion (](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F48699ae0-6c1f-4889-b5a2-9929e5766b17%2F67dd5843-a5a3-4bdb-9982-5e80b032cfce%2Fphn903b_processed.png&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing: Comparing Mean GPAs of Night vs. Day Students**
**Problem Statement:**
Test the claim that the mean GPA (Grade Point Average) of night students is larger than the mean GPA of day students at the 0.10 significance level.
**Formulating Hypotheses:**
The null and alternative hypotheses would be:
- \(H_0: \mu_N = \mu_D\) (The mean GPA of night students is equal to the mean GPA of day students)
- \(H_a: \mu_N > \mu_D\) (The mean GPA of night students is greater than the mean GPA of day students)
\[
\begin{array}{cccc}
H_0: \mu_N = \mu_D & H_0: p_N = p_D & H_0: \mu_N = \mu_D & H_0: p_N = p_D \\
H_a: \mu_N \neq \mu_D & H_a: p_N \neq p_D & H_a: \mu_N < \mu_D & H_a: p_N < p_D \\
\end{array}
\]
**Type of Test:**
This test is:
- Left-tailed
- Two-tailed
- **Right-tailed** (The test checks if the mean GPA of night students is greater than that of day students)
**Sample Data:**
- Sample of 50 night students, with a sample mean GPA of 3.32
- Sample of 35 day students, with a sample mean GPA of 3.31
- Population standard deviations of each group: 0.03
**Statistical Analysis:**
The test statistic and p-value will be calculated. To fill in the blanks providing decimal precision:
- **Test Statistic:**
\[
\text{Test Statistic} \text{ } = \text{ } \_\_\_\_\_ \text{ } \text{ (to 2 decimals)}
\]
- **p-value:**
\[
\text{p-value} \text{ } = \text{ } \_\_\_\_\_ \text{ } \text{ (to 4 decimals)}
\]
**Decision Rule:**
Based on the p-value and the chosen significance level (0.10), determine whether to:
- Reject the null hypothesis
- Fail to reject the null hypothesis
**Conclusion (
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