Answered: The average height (in inches) of an…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 25SGR

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Question

The average height (in inches) of an adult female in the US is 64. A random sample of 30 adult
females in River City has mean height x = 63. Let x be a random variable that represents the
height (in inches) of an adult female in River City. You may assume that x has an approximately
normal distribution with standard deviation σ = 2.5. Based on the sample result, is there reason
to believe that the average height of adult females in River City is less than 64? Use a 5% level of
significance.
a. State the null and alternative hypotheses.
b. Specify the level of significance α as a decimal.
c. Compute the P-value.
d. Make a decision. You must justify your answer.

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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