Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 14.What percent of the refunds are more than $3,500? 15.What percent of the refunds are more than $3500 but less than $3579? 16.What percent of the refunds are more than $3325 but less than $3579? WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are tuned to the station follows the normal distribution. The mean of the distribution is 15.0 minutes and the standard deviation is 3.5 minutes. What is the probability that a particular listener will tune in for: 17. More than 20 minutes? 18. 20 minutes or less? 19. Between 10 and 12 minutes? 20. Between 15 and 20 minutes? (this part is not from the textbook)
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was
$3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal
probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16,
start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
14.What percent of the
refunds are more than
$3,500?
15.What percent of the
refunds are more than
$3500 but less than $3579?
16.What percent of the
refunds are more than $3325
but less than $3579?
WNAE, an all-news AM station, finds that the distribution of the lengths of time listeners are
tuned to the station follows the
minutes and the standard deviation is 3.5 minutes. What is the probability that a particular
listener will tune in for:
17. More than 20 minutes?
18. 20 minutes or less?
19. Between 10 and 12
minutes?
20. Between 15 and 20
minutes? (this part is not
from the textbook)
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