The makers of Aain. 8.Gon burn gel claim that their gel witl relleve sunburn pain within 5 minutes of application. We wish to test this claim at the a 0.05 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 tittle 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 an be the mean pain indicator given by people before applying the gel and A 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 B = PA, H: > HA Ha: B < HA, H:=HA %3D Ho:B HA, H:#B# HA %3D O Ho: HB HA, H1 : HB = HA Pain Indicator (on scale from 1-10): before gel after gel 9.5 3 8 6 4.5 7 2.5 8 5 6 6 6. 6. 7.5 4.5 10 9 6.5 5 4 8 4.5 9.5 9 4 9.5 2.5 6 6.5 9. 8.5 Test Statistic: Give the P-value: Which is the correct result: Reject the Null Hypothesis O Do not Reject the Null Hypothesis Which would be the appropriate conclusion? There is not significant evidence to suggest that the gel will relieve pain within 5 minutes. There is significant evidence to suggest that the gel will relieve pain within 5 minutes. Ouortion Holni

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The makers of Aain. 8.Gon burn gel claim that their gel witl relleve sunburn pain within 5 minutes of
application. We wish to test this claim at the a 0.05 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 tittle 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 an be the mean pain
indicator given by people before applying the gel and A 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 B = PA, H: > HA
Ha: B < HA, H:=HA
%3D
Ho:B HA, H:#B# HA
%3D
O Ho: HB HA, H1 : HB = HA
Pain Indicator (on scale from 1-10):
before gel
after gel
9.5
3
8
6
4.5
7
2.5
8
5
6
6
6.
6.
7.5
4.5
10
9
6.5
5
4
8
4.5
9.5
9
4
9.5
2.5
6
6.5
9.
8.5
Test Statistic:
Give the P-value:
Which is the correct result:
Reject the Null Hypothesis
O Do not Reject the Null Hypothesis
Which would be the appropriate conclusion?
There is not significant evidence to suggest that the gel will relieve pain within 5 minutes.
There is significant evidence to suggest that the gel will relieve pain within 5 minutes.
Ouortion Holni
Transcribed Image Text:The makers of Aain. 8.Gon burn gel claim that their gel witl relleve sunburn pain within 5 minutes of application. We wish to test this claim at the a 0.05 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 tittle 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 an be the mean pain indicator given by people before applying the gel and A 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 B = PA, H: > HA Ha: B < HA, H:=HA %3D Ho:B HA, H:#B# HA %3D O Ho: HB HA, H1 : HB = HA Pain Indicator (on scale from 1-10): before gel after gel 9.5 3 8 6 4.5 7 2.5 8 5 6 6 6. 6. 7.5 4.5 10 9 6.5 5 4 8 4.5 9.5 9 4 9.5 2.5 6 6.5 9. 8.5 Test Statistic: Give the P-value: Which is the correct result: Reject the Null Hypothesis O Do not Reject the Null Hypothesis Which would be the appropriate conclusion? There is not significant evidence to suggest that the gel will relieve pain within 5 minutes. There is significant evidence to suggest that the gel will relieve pain within 5 minutes. Ouortion Holni
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