Question

1. In a study designed to test the effectiveness of acupuncture for treating migraine, 142 subjects were treated with acupuncture. The numbers of migraine attacks for the treatment group had a mean of 1.8 and a standard deviation of 1.4. Construct a 95% confidence interval estimate of (I potnt) number of migraine attacks for all people treated with acupuncture. 0 1.7 <u<1.9 O 1.5 <A<2.1 1.3 < μ <2.3 2. A sample size of n 20 is a simple random sample selected from a normally distributed (1 point) population. Find the critical value L? corresponding to a 95% confidence level. 2.093 o2.086 02.861 1.960

Answer 1

Solution:

1. A. 1.6 < μ < 2.0
Acupuncture treatment :
95% CI for the mean
CI = x̅ +/- z * s/sqrt(n)
= 1.8 +/- 1.96*1.4/sqrt(142)
= 1.8 +/- 0.2302
= (1.57, 2.03)
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2. Critical value t_α/2, (n-1) = t_0.05/2, (20-1) = t_0.025, 19 = 2.10

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