b) A study compared an anti-depressant effect on three different drugs. The patients are randomly assigned to each treatment and their response on the effect of the treatment is given in the following table. Drug C 20 4 Response Yes No Drug A Drug B 18 10 14 Conduct a hypothesis test to test whether the treatment effects are the same across all

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A study compared an anti-depressant effect on three different drugs. The patients are
randomly assigned to each treatment and their response on the effect of the treatment is
given in the following table.
b)
Drug B
18
Drug A
Drug C
Response
Yes
No
10
20
14
4
Conduct a hypothesis test to test whether the treatment effects are the same across all
treatments at 5% level of significance.
Transcribed Image Text:A study compared an anti-depressant effect on three different drugs. The patients are randomly assigned to each treatment and their response on the effect of the treatment is given in the following table. b) Drug B 18 Drug A Drug C Response Yes No 10 20 14 4 Conduct a hypothesis test to test whether the treatment effects are the same across all treatments at 5% level of significance.
The normal pulse rates for healthy adults are ranging from 60 to 100 beats per minute (bpm).
The pulse rates for 20 males and 20 females from the same population are collected. The
means and standard deviations of the two samples are as follows: (Use 5% significant level.)
a)
Males: ž = 80 bpm; s1 = 12 bpm;
Females: i, = 75 bpm; s2 = 10 bpm;
(i)
Find the point estimates for the population mean and standard deviation.
(ii)
How large is the sample sizes needed if the maximum margin of error of the estimate
must be within 2 bpm?
Is there any evidence to conclude that the distribution of the pulse rates of the males
and females are different?
(iii)
Transcribed Image Text:The normal pulse rates for healthy adults are ranging from 60 to 100 beats per minute (bpm). The pulse rates for 20 males and 20 females from the same population are collected. The means and standard deviations of the two samples are as follows: (Use 5% significant level.) a) Males: ž = 80 bpm; s1 = 12 bpm; Females: i, = 75 bpm; s2 = 10 bpm; (i) Find the point estimates for the population mean and standard deviation. (ii) How large is the sample sizes needed if the maximum margin of error of the estimate must be within 2 bpm? Is there any evidence to conclude that the distribution of the pulse rates of the males and females are different? (iii)
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