Answered: PLEASE ANSWER ALL THE PARTS OF THE…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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PLEASE ANSWER ALL THE PARTS OF THE QUESTION (THIS IS NOT A GRADED ASSIGNMENT)

1. Suppose the distribution of cholesterol levels in a population of men is approximately normally distributed with a mean of 200 mg/dL and a standard deviation of 32 mg/dL.

A. What is the standard deviation of the sampling distribution of ˉxˉ for n=25? Write your answer as a decimal value rounded to four decimal places.

B. What condition allows us to say that the value in part (A) is approximately true?

C. What is the shape of the sampling distribution of ˉxˉ for n=25?

D. What condition allows us to answer as we did in part (C)?

E. You take a random sample of 25 males from this population and find the average level of the sample to be 188 mg/dL. How unusual is this sample? Show your work (conditions, mechanics, and context)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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