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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
The makers of Pain.B.Gon burn gel claim that their gel will relieve sunburn pain within 5 minutes of application. We wish to test this claim at the
a = 0.10 level of significance. A random sample of people with a sunburn were asked to rate their pain on a scale from 1-10 (with 1 indicating very
little pain, 10 indicating unbearable agony) and then apply the gel. Then the same group of people were asked to rate their pain on the same 10-point
scale 5 minutes later. The data is given below. Let μg be the mean pain indicator given by people before applying the gel and μA be the mean pain
indicator given by people 5 minutes after applying the gel. Assume that the pain differences have a normal distribution.(Round your results to three
decimal places. Which would be correct hypotheses for this test?
Ho: MB<HA, H₁: μB = μA
Ho: BB PA, H₁: PB <HA
Ho: BPA, H₁: PB = PA
Ho: BPA, H₁PD > HA
HHB
Ho: BPA, H₁: PBHA
=
Pain indicator (on scale from 1-10):
before gel after gel
10
4.5
5.5
5
8.5
5
9
6593
7
2.5
9
53
9
4
9
458
555
4.5
5.5
8.5
9.5
5
9.5
4.5
5
7.5
6
7.5
7.5
2.5
6
54
4
10
5.5
6.5
52
2
Test Statistic:
Give the P-value:
Which is the correct result:
Reject the Null Hypothesis
Do not Reject the Null Hypothesis
Which would be the appropriate conclusion?
There is significant evidence to suggest that the gel will relieve pain within 5 minutes.
There is not significant evidence to suggest that the gel will relieve pain within 5 minutes.
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