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 difference between the values in a matched data pair. Compute the sample mean  d  of the differences and the sample standard deviation sd. If d has a normal distribution or is mound-shaped, or if n ≥ 30, then a confidence interval for ?d is as follows. d − E < ?d < d + E where  E = tc  where  E = tc  sd   n   c = confidence level (0 < c < 1) tc = critical value for confidence level c and d.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:

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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 AB. Let d = B − A be a random variable representing the difference between the values in a matched data pair. Compute the sample mean 
d
 of the differences and the sample standard deviation sd. If d has a normal distribution or is mound-shaped, or if n ≥ 30, then a confidence interval for ?d is as follows.
d − E < ?d < d + E
where 
E = tc 
where 
E = tc 
sd
  n
 
c = confidence level (0 < c < 1)
tc = critical value for confidence level c and d.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:
 
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