A random sample of 10 night students was taken with a sample mean GPA of 3.5 and a standard deviation of 0.07. A random sample of 15 day students was taken with a sample mean GPA of 3.48 and a standard deviation of 0.04. Test the claim that the mean GPA of night students (N) is greater than the mean GPA of day students (μD) at a = 0.05. Assume that the data come from normal populations with unequal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. Fill in the hypotheses below (click the circle to the left of the correct answer): Ho: μD Tdp μN În ? O UNO Ân OpOUDOd Ha: μD do ² PO μN În ?v În μN Xd μD

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A random sample of 10 night students was taken with a sample mean GPA of 3.5 and a standard deviation of 0.07. A random sample of 15 day students was taken with a sample mean GPA of 3.48 and a standard deviation of 0.04. Test the claim that the mean GPA of night students (\(\mu_N\)) is greater than the mean GPA of day students (\(\mu_D\)) at \(\alpha = 0.05\).

Assume that the data come from normal populations with unequal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places.

Fill in the hypotheses below (click the circle to the left of the correct answer):

- \(H_0\): \(\mu_D \, \bigcirc \, \sigma^2 \, \bigcirc \, \bar{x}_d \, \bigcirc \, p \, \bigcirc \, \mu_N \, \bigcirc \, \hat{p}_n\boxed{\, \leq \,}\sigma^2 \, \bigcirc \, \mu_N \, \bigcirc \, \hat{p}_n \, \bigcirc \, p \, \bigcirc \, \mu_D \, \bigcirc \, \bar{x}_d\)

- \(H_a\): \(\bigcirc \, \mu_D \, \bigcirc \, \bar{x}_d \, \bigcirc \, \sigma^2 \, \bigcirc \, p \, \bigcirc \, \mu_N \, \bigcirc \, \hat{p}_n \, \boxed{>} \, \bigcirc \, \sigma^2 \, \bigcirc \, \hat{p}_n \, \bigcirc \, p \, \bigcirc \, \mu_N \, \bigcirc \, \bar{x}_d \, \bigcirc \, \mu_D\)

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Transcribed Image Text:A random sample of 10 night students was taken with a sample mean GPA of 3.5 and a standard deviation of 0.07. A random sample of 15 day students was taken with a sample mean GPA of 3.48 and a standard deviation of 0.04. Test the claim that the mean GPA of night students (\(\mu_N\)) is greater than the mean GPA of day students (\(\mu_D\)) at \(\alpha = 0.05\). Assume that the data come from normal populations with unequal variances. Round your answers to three decimal places, and round any interim calculations to four decimal places. Fill in the hypotheses below (click the circle to the left of the correct answer): - \(H_0\): \(\mu_D \, \bigcirc \, \sigma^2 \, \bigcirc \, \bar{x}_d \, \bigcirc \, p \, \bigcirc \, \mu_N \, \bigcirc \, \hat{p}_n\boxed{\, \leq \,}\sigma^2 \, \bigcirc \, \mu_N \, \bigcirc \, \hat{p}_n \, \bigcirc \, p \, \bigcirc \, \mu_D \, \bigcirc \, \bar{x}_d\) - \(H_a\): \(\bigcirc \, \mu_D \, \bigcirc \, \bar{x}_d \, \bigcirc \, \sigma^2 \, \bigcirc \, p \, \bigcirc \, \mu_N \, \bigcirc \, \hat{p}_n \, \boxed{>} \, \bigcirc \, \sigma^2 \, \bigcirc \, \hat{p}_n \, \bigcirc \, p \, \bigcirc \, \mu_N \, \bigcirc \, \bar{x}_d \, \bigcirc \, \mu_D\) This test is [Select an answer].
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