Question

A random sample of 5 college women was asked for their own heights and their mothers' heights. The researchers wanted to know whether the college women are taller on average than their mothers. The results (in inches) follow:

Pair	1	2	3	4	5
Daughter	67	66	70	69	67
Mother	61	61	61	64	63

Let d = daughter's height - mother's height, and let μ_d represent the average height difference of daughter-mother pairs.

What is the sample mean of height difference between daughters and mothers (i.e. [(d)])? [answer to 1 decimal place]

Tries 0/5

What is the sample standard deviation of height difference between daughters and mothers s_d? [answer to 3 decimal places]

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Compute the standard error of [(d)], i.e. s.e.([(d)]) [answer to 3 decimal places]

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Compute the margin of error of the 99% paired confidence interval for μ_d. [answer to 3 decimal places]

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The 99% paired confidence interval for μ_d is:
(3.409, 8.191)
(2.575, 9.025)
(3.968, 7.632)
(4.484, 7.116)
(1.844, 9.756)

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Based on 99% paired confidence interval for μ_d, we can conclude that
there is no significant evidence that average height of daughters is different from the average height of their mothers
one cannot make any comparison of daughters' and mothers' heights based on confidence interval
there is significant evidence that on the average daughters are shorter than their mothers
there is significant evidence that on the average daughters are taller than their mothers

Answer 1