Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two independent test groups. The first group consisted of 9 people with the illness, and the second group consisted of 8 people with the illness. The first group received treatment 1 and had a mean time until remission of 190 days, with a standard deviation of 6 days. The second group received treatment 2 and had a mean time until remission of 189 days, with a standard deviation of 7 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Can we conclude, at the 0.05 level of significance, that the mean number of days before remission after treatment 1, µ1, is greater than the mean number of days before remission after treatment 2, µ,? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

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Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two
independent test groups. The first group consisted of 9 people with the illness, and the second group consisted of 8 people with the illness. The first group
received treatment 1 and had a mean time until remission of 190 days, with a standard deviation of 6 days. The second group received treatment 2 and had a
mean time until remission of 189 days, with a standard deviation of 7 days. Assume that the populations of times until remission for each of the two treatments
are normally distributed with equal variance. Can we conclude, at the 0.05 level of significance, that the mean number of days before remission after treatment
1, u1, is greater than the mean number of days before remission after treatment 2, µ?
Perform a one-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
Transcribed Image Text:Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established two independent test groups. The first group consisted of 9 people with the illness, and the second group consisted of 8 people with the illness. The first group received treatment 1 and had a mean time until remission of 190 days, with a standard deviation of 6 days. The second group received treatment 2 and had a mean time until remission of 189 days, with a standard deviation of 7 days. Assume that the populations of times until remission for each of the two treatments are normally distributed with equal variance. Can we conclude, at the 0.05 level of significance, that the mean number of days before remission after treatment 1, u1, is greater than the mean number of days before remission after treatment 2, µ? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
The null hypothesis:
The alternative hypothesis:
H :0
The type of test statistic:
(Choose one) ♥
The value of the test statistic:
(Round to at least three
decimal places.)
The critical value at the 0.05
level of significance:
(Round to at least three
decimal places.)
Can we conclude that the mean number of days
before remission after treatment 1 is greater than
the mean number of days before remission after
Yes
No
treatment 2?
Transcribed Image Text:The null hypothesis: The alternative hypothesis: H :0 The type of test statistic: (Choose one) ♥ The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.05 level of significance: (Round to at least three decimal places.) Can we conclude that the mean number of days before remission after treatment 1 is greater than the mean number of days before remission after Yes No treatment 2?
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