Using techniques from an earlier section, we can find a confidence interval for ? d . Consider a random sample of n matched data pairs A , B . Let d = B − A be a random variable representing the...

Using techniques from an earlier section, we can find a confidence interval for ?
_d
. Consider a random sample ofn matched data pairsA,B. Letd =B −A be a random variable representing the difference between the values in a matched data pair. Compute the sample mean

of the differences and the sample standard deviations_d
. Ifd has a normal distribution or is mound-shaped, or ifn ≥ 30, then aconfidence interval for ?
_d
is as follows.

d − E <>_d <>

where

E = t_c

where

E = t_c

s_d

c = confidence level (0 c <>

t_c
= critical value for confidence levelc andd.f. =n − 1

B: Percent increase for company	28	28	8	18	6	4	21	37
A: Percent increase for CEO	16	26	14	14	−4	19	15	30

(a)

Using the data above, find a 95% confidence interval for the mean difference between percentage increase in company revenue and percentage increase in CEO salary. (Round your answers to two decimal places.)

lower limit:

upper limit:

Jun 08, 2022

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Using techniques from an earlier section, we can find a confidence interval for ? d . Consider a random sample of n matched data pairs A , B . Let d = B − A be a random variable representing the...

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