A random sample of 5 college women was asked for their own heights and their mot

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 Daughter 63 67 69 67 66 Mother 6563 61 64 66 Let d = daughter's height-mother's height, and let ?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)1)? [answer to 1 decimal place] Submit Answer Tries 0/5 What is the sample standard deviation of height difference between daughters and mothers sg? [answer to 3 decimal places] Submit Answer Tries 0/5 Compute the standard error of [D(d), i.e. se.([D(d))) [answer to 3 decimal places] Submit Answer Tries 0/5 Compute the margin of error of the 99% paired confidence interval for ?d, [answer to 3 decimal places] Submit Answer Tries 0/5 The 9996 paired confidence interval for d is: O (-3.850, 9.050) (-2.182, 7.382) 0(-5.312, 10.512) O (-0.032, 5.232) ?(-1.064, 6.264) Submit Answer Tries 0/3 Based on 99% paired confidence interval for ud, we can conclude that O there is significant evidence that on the average daughters are taller than their mothers there is no significant evidence that average height of daughters is different from the average height of their mothers Othere is significant evidence that on the average daughters are shorter than their mothers O one cannot make any comparison of daughters' and mothers' heights based on confidence interval Submit Answer Tries 0/3

Explanation / Answer

sample mean, dbar = 2.6

sample sd, s(d)= 3.8471

standard errror, SE = s(d)/sqrt(n)

= 3.8471/sqrt(5)

= 1.7205

DF = 4, t-value = 4.6041

Margin of error, ME = t*SE

= 4.6041*1.7205

= 7.9212

Confidence Interval, (x1bar - x2bar) +/- ME

Lower bound = 2.6 - 7.9212 = -5.32118

Upper bound = 2.6 - 7.9212 = 10.52118

Confidence Interval, (-5.321 , 10.521)

There is no significant evidence that the average height of daughters is different from the average height of their mothers.

Daughter Mother d 63 65 -2 67 63 4 69 61 8 67 64 3 66 66 0

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