Medical researchers interested in determining the relative effectiveness of two different drug treatments on people with a chronic mental illness established tw independent test groups. The first group consisted of 10 people with the illness, and the second group consisted of 11 people with the illness. The first group received treatment 1 and had a mean time until remission of 194 days, with a standard deviation of 9 days. The second group received treatment 2 and had mean time until remission of 188 days, with a standard deviation of 6 days. Assume that the populations of times until remission for each of the two treatmer are normally distributed with equal variance. Can we conclude, at the 0.01 level of significance, that the mean number of days before remission after treatme 1, µ1, is greater than the mean number of days before remission after treatment 2, µ? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Question
(a) State the null hypothesis 
H0
 and the alternative hypothesis 
H1
.
H0:
H1:
(b) Determine the type of test statistic to use.
  ▼(Choose one)
 
(c) Find the value of the test statistic. (Round to three or more decimal places.)
 
(d) Find the p-value. (Round to three or more decimal places.)
 
(e) 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
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 11 people with the illness. The first group
received treatment 1 and had a mean time until remission of 194 days, with a standard deviation of 9 days. The second group received treatment 2 and had a
mean time until remission of 188 days, with a standard deviation of 6 days. Assume that the populations of times until remission for each of the two treatment
are normally distributed with equal variance. Can we conclude, at the 0.01 level of significance, that the mean number of days before remission after treatmen
1, u1, is greater than the mean number of days before remission after treatment 2, µ,?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more 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 10 people with the illness, and the second group consisted of 11 people with the illness. The first group received treatment 1 and had a mean time until remission of 194 days, with a standard deviation of 9 days. The second group received treatment 2 and had a mean time until remission of 188 days, with a standard deviation of 6 days. Assume that the populations of times until remission for each of the two treatment are normally distributed with equal variance. Can we conclude, at the 0.01 level of significance, that the mean number of days before remission after treatmen 1, u1, is greater than the mean number of days before remission after treatment 2, µ,? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)
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