Question

In a statistics​ class, students took their pulses before and after being frightened. The frightening event was having the teacher scream and run from one side of the room to the other. The pulse rates​ (beats per​ minute) of the women before and after the scream were obtained separately and are shown in the accompanying table. Treat this as though it were a random sample of female community college students. Test the hypothesis that the mean of college​ women's pulse rates is higher after a​fright, using a significance level of 0.05

Pulse before: 65, 77, 95, 92, 94, 71, 70, 82,81, 61,82 , 89, 64

pulse after: 67, 85, 96, 99,97, 77,78, 86, 84,65, 87, 95, 74

Step​ 1: Hypothesize

Let μbefore be the population mean number of beats per minute before the​ scream, and let μafter be the population mean number of beats per minute after the scream. Determine the hypotheses for this test. Choose the correct answer below.

Choose a test. Should it be a paired​ t-test or a​ two-sample t-test?​ Why?

Step​ 3: Compute to compare

Find the test statistic for this test. Use μdifference μbefore minus μafter.

t=

​(Round to two decimal places as​ needed.)

Find the​ p-value for this test.

​p-value

​(Round to three decimal places as​ needed.)

Step​ 4: Interpret

Reject or do not reject H0.

Then write a sentence that includes​ "significant" or​ "significantly" in it. Report the sample mean pulse rate before the scream and the sample mean pulse rate after the scream.

Answer 1

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Paired t test

Each sample is independent to each other and dependent variables are approximately normal

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Before	After	d(before-afte)
65	67	-2
77	85	-8
95	96	-1
92	99	-7
94	97	-3
71	77	-6
70	78	-8
82	86	-4
81	84	-3
61	65	-4
82	87	-5
89	95	-6
64	74	-10
		-5.154	Average
		2.641	Std

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4. P-value = 0.000

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5. Reject Ho

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Significant