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  10  people with the illness, and the second group consisted of  14  people with the illness. The first group received treatment 1 and had a mean time until remission of  185  days, with a standard deviation of  5  days. The second group received treatment 2 and had a mean time until remission of  179  days, with a standard deviation of  8  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,  μ2 ? 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: H0:   The alternative hypothesis: H1:   The type of test statistic: (Choose one)ZtChi squareF             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 treatment 2?   Yes     No

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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 

10

 people with the illness, and the second group consisted of 

14

 people with the illness. The first group received treatment 1 and had a mean time until remission of 

185

 days, with a standard deviation of 

5

 days. The second group received treatment 2 and had a mean time until remission of 

179

 days, with a standard deviation of 

8

 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, 

μ2

?

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:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
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 treatment 2?
 
Yes
 
 
No
 
 
 
 
 
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