a. What is the distribution of ? - NO b. For the group of 11, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? Yes No

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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When asked: "What is the distribution of X ? X ~ N(___,___)." This notation is referring to
N, a normal distribution, with the mean given in the first space and the standard deviation
in the second space. Remember that the standard deviation of the sample means is
different from the population standard deviation.
The lengths of adult males' hands are normally distributed with mean 190 mm and
standard deviation 7 mm. Suppose that 11 individuals are randomly chosen. Round final
answers to 4 decimal places.
a. What is the distribution of x? x N(
b. For the group of 11, find the probability that the average hand length is more than
189.
c. Find the first quartile for the average adult male hand length for this sample size.
d. For part b), is the assumption that the distribution is normal necessary? Yes
No
Transcribed Image Text:When asked: "What is the distribution of X ? X ~ N(___,___)." This notation is referring to N, a normal distribution, with the mean given in the first space and the standard deviation in the second space. Remember that the standard deviation of the sample means is different from the population standard deviation. The lengths of adult males' hands are normally distributed with mean 190 mm and standard deviation 7 mm. Suppose that 11 individuals are randomly chosen. Round final answers to 4 decimal places. a. What is the distribution of x? x N( b. For the group of 11, find the probability that the average hand length is more than 189. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? Yes No
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