Please help with the CI portion Listed in the data table are

Please help with the CI portion

Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ 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. Click the icon to view the data table of IQ scores. Use a 0.05 significance level, and test the claim that the mean IQ 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. State the conclusion for the test. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. the null hypothesis. There is not sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. Reject the null hypothesis. There is sufficient evidence to support the claim that subjects with medium lead levels have higher IQ scores. Construct a confidence interval suitable for testing the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels.

Solution

Hypothesis Test: Independent Groups (t-test, unequal variance)

g1

g2

90.364

88.827

mean

10.548

10.368

std. dev.

11

11

n

19

df

1.537000

difference (g1 - g2)

4.459471

standard error of difference

0

hypothesized difference

0.34

t

0.367

p-value (one-tailed, upper)

-7.797

confidence interval 95.% lower

10.871

confidence interval 95.% upper

9.334

margin of error

95% CI =(-7.797, 10.871)

Hypothesis Test: Independent Groups (t-test, unequal variance)
	g1	g2
	90.364	88.827	mean
	10.548	10.368	std. dev.
	11	11	n
		19	df
		1.537000	difference (g1 - g2)
		4.459471	standard error of difference
		0	hypothesized difference
		0.34	t
		0.367	p-value (one-tailed, upper)
		-7.797	confidence interval 95.% lower
		10.871	confidence interval 95.% upper
		9.334	margin of error