d. What is the probability that the sample mean will be between 250 pounds and 257 pounds? P (250 ≤x≤257) = (Round to four decimal places as needed.) e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is 247.2 pounds. (Round to the nearest pound as needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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D and E please
The average weight of a professional football player in 2009 was 247.2 pounds. Assume the population standard
deviation is 35 pounds. A random sample of 34 professional football players was selected. Complete parts a through E
www.
X
(Round to two decimal places as needed.)
b. What is the probability that the sample mean will be less than 237 pounds?
P(X<237) =
(Round to four decimal places as needed.)
c. What is the probability that the sample mean will be more than 244 pounds?
P(X>244) =
(Round to four decimal places as needed.)
d. What is the probability that the sample mean will be between 250 pounds and 257 pounds?
P (250≤x≤257) =
(Round to four decimal places as needed.)
e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is 247.2
pounds.
≤x≤
(Round to the nearest pound as needed.)
Transcribed Image Text:The average weight of a professional football player in 2009 was 247.2 pounds. Assume the population standard deviation is 35 pounds. A random sample of 34 professional football players was selected. Complete parts a through E www. X (Round to two decimal places as needed.) b. What is the probability that the sample mean will be less than 237 pounds? P(X<237) = (Round to four decimal places as needed.) c. What is the probability that the sample mean will be more than 244 pounds? P(X>244) = (Round to four decimal places as needed.) d. What is the probability that the sample mean will be between 250 pounds and 257 pounds? P (250≤x≤257) = (Round to four decimal places as needed.) e. Identify the symmetrical interval that includes 95% of the sample means if the true population mean is 247.2 pounds. ≤x≤ (Round to the nearest pound as needed.)
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