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BBBASICSTAT8 10.1.018.MI.S.
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Using techniques from an earlier section, we can find a confidence interval for µ. 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 so. If d has a normal distribution or is mound-shaped, or if n ≥
30, then a confidence interval for µd is as follows.
$$\bar{d} - E < \mu_d < \bar{d} + E$$
where $$E = t_c \frac{s_d}{\sqrt{n}}$$
c = confidence level (0 < c < 1)
t = critical value for confidence level c and d.f. = n - 1
B: Percent increase
for company
28 24 8 18 6 4 21 37
A: Percent increase
28 18 22 14 -4 19 15 30
for CEO
USE SALT
(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