Answered: Test a claim that the mean amount of…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

Test a claim that the mean amount of lead in the air in U.S. cities is less than 0.036 microgram per cubic meter. It was found that the mean amount of lead in the air for the random sample of 55 U.S. cities is 0.038 microgram per cubic meter and the standard deviation is 0.067 microgram per cubic meter. At α=0.10,
can the claim be supported? Complete parts (a) through (e) below. Assume the population is normally distributed.

a. Identify Ho and Ha

b. find the critical values and sket the rejection region

c. calculate the test statistic

d. Do you "reject the Ho" or "fail to reject Ha"?

e. interpret results ( does it support or reject the claim)

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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