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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Description: 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 th

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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

people with the illness, and the second group consisted of

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

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

179

days, with a standard deviation of

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

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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