The body temperature of a healthy adult follows a Normal distribution with a mean of 98.25°F and a standard deviation of 0.73°F.    a. Find the probability that a randomly selected adult will have a body temperature between 98°F and 99°F.     b. Find the mean and standard deviation of the sampling distribution of the mean body temperature for an SRS of 50 adults.    c. Find the probability that the mean body temperature of an SRS of 50 adults is between 98°F and 99°F.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. The body temperature of a healthy adult follows a Normal distribution with a mean of 98.25°F and a standard deviation of 0.73°F.
   a. Find the probability that a randomly selected adult will have a body temperature between 98°F and 99°F. 
   b. Find the mean and standard deviation of the sampling distribution of the mean body temperature for an SRS of 50 adults.
   c. Find the probability that the mean body temperature of an SRS of 50 adults is between 98°F and 99°F.

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Why is the standard deviation of a sampling distribution smaller than the standard deviation of the population?

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where is the 250 coming from?

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