Question

1. Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.1 significance level.

The null and alternative hypothesis would be:

H0:pN≤pDH0:pN≤pD Ha:pN>pDHa:pN>pD H0:pN≥pDH0:pN≥pD Ha:pN<pDHa:pN<pD H0:μN≥μDH0:μN≥μD Ha:μN<μDHa:μN<μD H0:μN≤μDH0:μN≤μD Ha:μN>μDHa:μN>μD H0:μN=μDH0:μN=μD Ha:μN≠μDHa:μN≠μD H0:pN=pDH0:pN=pD Ha:pN≠pDHa:pN≠pD

The test is:

right-tailed

left-tailed

two-tailed

The sample consisted of 12 night students, with a sample mean GPA of 3.13 and a standard deviation of 0.04, and 10 day students, with a sample mean GPA of 3.15 and a standard deviation of 0.08.

test statistic =
	[three decimal accuracy]
p-value =
	[three decimal accuracy]

Based on this we:

• Fail to reject the null hypothesis
• Reject the null hypothesis

2. Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.10 level of significance. Let μ1μ1 = mean before workout.

before 69 60 62 72 73 77 after 77 63 70 74 74 85

Select the correct Hypotheses:

H0:μ1≥μ2H0:μ1≥μ2 Ha:μ1<μ2Ha:μ1<μ2 H0:μ1≤μ2H0:μ1≤μ2 Ha:μ1>μ2Ha:μ1>μ2 H0:μd≥0H0:μd≥0 Ha:μd<0Ha:μd<0 H0:μd≤0H0:μd≤0 Ha:μd>0Ha:μd>0 H0:μ1=μ2H0:μ1=μ2 Ha:μ1≠μ2Ha:μ1≠μ2 H0:μd=0H0:μd=0 Ha:μd≠0Ha:μd≠0

Test Statistic, ttest =
	[three decimal accuracy]
p-value =
	[three decimal accuracy]

Conclusion:

• Fail to Reject H0H0
• Reject H0H0

Interpret the conclusion in context:

• There is not enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout.
• There is enough evidence to suggest the mean bpm before a Kettleball workout is lower than 30 minutes after the workout.

3. Heart rates are determined before and 30 minutes after a Kettleball workout. It can be assumed that heart rates (bpm) are normally distributed. Use the data provided below to test to determine if average heart rates prior to the workout are significantly lower than 30 minutes after a Kettleball workout at the 0.02 level of significance. Let μ1μ1 = mean before workout.

before 60 64 67 63 63 72 after 64 62 66 67 71 71

Construct the appropriate confidence interval for the given level of significance.

(	,		)
	[three decimal accuracy]	[three decimal accuracy]

Answer 1

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