(a) Census Bureau data show that the mean household income in the area served by a shopping mall is $62,500 per year. A market research Но: firm questions shoppers at the mall to find out whether the mean household income of mall shoppers is higher than that of the general population. На: Но: (b) Last year, your company's service technicians took an average of 2.6 hours to respond to trouble calls from business customers who had purchased service contracts. Do this year's data show a different average response time? На: 3. The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation o = 1.2. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The mean of these 100 measurements is x bar = 9.8. Is this evidence that the mean calcium level in the population from which these women come is less than 1O? To answer this, test the hypotheses HO: µ = 10, Ha: µ < 10 at the 5% significance level. (a) What is the value of the test statistic, z? |(b) What is the P-value for this test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 8SGR
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answers 2b 3a 3b 

(a) Census Bureau data show that the mean household income in the area served by a shopping mall is $62,500 per year. A market research
Но:
firm questions shoppers at the mall to find out whether the mean household income of mall shoppers is higher than that of the general
population.
На:
Но:
(b) Last year, your company's service technicians took an average of 2.6 hours to respond to trouble calls from business customers who had
purchased service contracts. Do this year's data show a different average response time?
На:
3. The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per
deciliter and standard deviation o = 1.2. A clinic measures the blood calcium of 100 healthy pregnant young women at their first
visit for prenatal care. The mean of these 100 measurements is x bar = 9.8. Is this evidence that the mean calcium level in the
population from which these women come is less than 1O? To answer this, test the hypotheses HO: µ = 10, Ha: µ < 10 at the 5%
significance level.
(a) What is the value of the test statistic, z?
|(b) What is the P-value for this test?
Transcribed Image Text:(a) Census Bureau data show that the mean household income in the area served by a shopping mall is $62,500 per year. A market research Но: firm questions shoppers at the mall to find out whether the mean household income of mall shoppers is higher than that of the general population. На: Но: (b) Last year, your company's service technicians took an average of 2.6 hours to respond to trouble calls from business customers who had purchased service contracts. Do this year's data show a different average response time? На: 3. The level of calcium in the blood of healthy young adults follows a normal distribution with mean u = 10 milligrams per deciliter and standard deviation o = 1.2. A clinic measures the blood calcium of 100 healthy pregnant young women at their first visit for prenatal care. The mean of these 100 measurements is x bar = 9.8. Is this evidence that the mean calcium level in the population from which these women come is less than 1O? To answer this, test the hypotheses HO: µ = 10, Ha: µ < 10 at the 5% significance level. (a) What is the value of the test statistic, z? |(b) What is the P-value for this test?
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