This Question: 4 pts 40 of 40 (6 complete) This Test: 97 pts possible Question H

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This Question: 4 pts 40 of 40 (6 complete) This Test: 97 pts possible Question Help Listed in the data table are 1Q scores for a random sample of subjects with medium lead levels in their blood Also listed are statiotics fom a study done of Q scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal Complete parts (a) and (b) below Use a 0 10 significance level for both parts EEB Click the icon to view the data table of 1Q scores a. Test the claim that the mean 1Q scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels The test statistic is(Round to two decimal places as needed) The P-value is (Round to three decimal places as needed) Click to select your answer(s)

Explanation / Answer

a)

Null and Alternate Hypothesis

H0: µ1 = µ2

Ha: µ1 > µ2

Given,

n1 = 11

x1 = 90.55

s1 = 10.23

n2 = 11

x2 = 88.64

s2 = 10.02

Test Statistic:

t = (x1 – x2 ­– (µ1 - µ2))/{s12/n1 + s22/n2}1/2 = 0.44

df = n1+n2 – 2 = 20

alpha = 0.1

tcritical = 1.325

Since, t < tcritical , we fail to reject the null hypothesis.

p-value = TDIST(0.44,20,1) = 0.331

b)

CI = (x1 – x2 )+/- tcritical * {s12/n1 + s22/n2}1/2 = (-3.82,7.63)

Yes.

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