The scores represent IQ scores for 31 seventhgrade girls and

The scores represent IQ scores for 31 seventh-grade girls and 47 seventh-grade boys in the same Midwestern school district. Assuming the assumptions are satisfied, what is the name of the test you would use for this problem? (Your options arc one sample z-test for the mean, one sample t-test for the mean, one sample z-test for the proportion, matched-pairs t-test for the mean, two-sample (independent) t-test for the mean.) Using alpha = 0.05, conduct the hypothesis test used to determine whether there is good evidence that girls and boys differ in the their mean IQ scores. Construct a 95% confidence interval for the difference between the mean IQ scores of all boys and all girls in the district.

Solution

a) 2 sample independent t test

b) using exel analysis is done

p is <0.05, hence H0 is rejected.

c) 95% ci is ( -12.325, -0.027)

Hypothesis Test: Independent Groups (t-test, pooled variance)
	female	male
	104.78	110.96	mean
	15.26	12.12	std. dev.
	32	47	n
		77	df
		-6.176	difference (female - male)
		181.524	pooled variance
		13.473	pooled std. dev.
		3.088	standard error of difference
		0	hypothesized difference
		-2.00	t
		.0490	p-value (two-tailed)