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.)
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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
D and E please

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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