nExercise 1: Distribution of the Sample Mean 1. Women’s heights are Normally distributed with a mean = 63.5 inches and a standard deviation = 2.5 inches.a) If 1 woman is randomly selected, what is the probability that her height is between 63.0 and 64.0 inches?.b) Suppose instead 9 women are randomly selected What is the distribution of the (sample) mean height for these 9 women? State the shape, mean and standard deviation. Interpret the values of the mean and standard deviation.c) What is the probability the (sample) mean height is between 63.0 and 64.0 inches.nd) Using a relative frequency interpretation, interpret this probability by filling in the blanks: 45.15% of all _______ [units] have _____ [variable] between 63.0 and 64.0 inches.e) Answer b and c if instead 36 women are randomly selected.f) Without doing any computing, explain what happens to… …the distribution of the (sample) mean as the sample size increases. …the probability that the mean for the sampled women is between 63.0 and 64.0 as the sample size increases.f2) n=9, calculate the limits that contain the middle 90%. Find the sample mean limit that has only 5% chance to be exceeded and the limit for which there is only 2 % probability for the sample mean to be below

Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

rcise 1: Distribution of the Sample Mean 1. Women’s heights are Normally distributed with a mean = 63.5 inches and a standard deviation = 2.5 inches. a) If 1 woman is randomly selected, what is the probability that her height is between 63.0 and 64.0 inches?. b) Suppose instead 9 women are randomly selected What is the distribution of the (sample) mean height for these 9 women? State the shape, mean and standard deviation. Interpret the values of the mean and standard deviation. c) What is the probability the (sample) mean height is between 63.0 and 64.0 inches.

rcise 1: Distribution of the Sample Mean 1. Women’s heights are Normally distributed with a mean = 63.5 inches and a standard deviation = 2.5 inches. a) If 1 woman is randomly selected, what is the probability that her height is between 63.0 and 64.0 inches?. b) Suppose instead 9 women are randomly selected What is the distribution of the (sample) mean height for these 9 women? State the shape, mean and standard deviation. Interpret the values of the mean and standard deviation. c) What is the probability the (sample) mean height is between 63.0 and 64.0 inches.

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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nExercise 1: Distribution of the Sample Mean 1. Women’s heights are Normally distributed with a mean = 63.5 inches and a standard deviation = 2.5 inches.

a) If 1 woman is randomly selected, what is the probability that her height is between 63.0 and 64.0 inches?.
b) Suppose instead 9 women are randomly selected What is the distribution of the (sample) mean height for these 9 women? State the shape, mean and standard deviation. Interpret the values of the mean and standard deviation.
c) What is the probability the (sample) mean height is between 63.0 and 64.0 inches.
nd) Using a relative frequency interpretation, interpret this probability by filling in the blanks: 45.15% of all _______ [units] have _____ [variable] between 63.0 and 64.0 inches.
e) Answer b and c if instead 36 women are randomly selected.
f) Without doing any computing, explain what happens to… …the distribution of the (sample) mean as the sample size increases. …the probability that the mean for the sampled women is between 63.0 and 64.0 as the sample size increases.

f2) n=9, calculate the limits that contain the middle 90%. Find the sample mean limit that has only 5% chance to be exceeded and the limit for which there is only 2 % probability for the sample mean to be below

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