For a two-tailed hypothesis test at the significance level α,the null hypothesis H0: μ=μ0 will be rejected in favor of the alternative hypothesis Ha: μ≠μ0 if and only if μ0 lies outside the (1−α)-level confidence interval for μ. Illustrate the preceding relationship by obtaining the appropriate one-mean t-interval for the summary statistics provided. Complete parts (a) and (b). According to a survey, the average person watched 4.35 hours of television per day in 2005. A random sample of 20 people were asked for the number of hours of television watched per day for last year. At the 10% significance level, the data do not provide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005. (Note: x=4.752 hours and= s=2.384 hours.) The confidence interval is (Round to three decimal places as needed.) According to a national study the average consumer unit spent $1739 on apparel and services in 2012. That same year, 25 consumer units in the Northeast were surveyed about their annual expenditures, in dollars, on apparel and services. At the 2% significance level, the data provide sufficient evidence to conclude that the 2012 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of $1739. (Note: x=$1920.22 and s=$349.83.) The confidence interval is (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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For a two-tailed hypothesis test at the significance level α,the null hypothesis H0: μ=μ0 will be rejected in favor of the alternative hypothesis Ha: μ≠μ0 if and only if μ0 lies outside the (1−α)-level confidence interval for μ. Illustrate the preceding relationship by obtaining the appropriate one-mean t-interval for the summary statistics provided. Complete parts (a) and (b).

According to a survey, the average person watched 4.35 hours of television per day in 2005. A random sample of 20 people were asked for the number of hours of television watched per day for last year. At the 10% significance level, the data do not provide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005. (Note: x=4.752 hours and= s=2.384 hours.)

The confidence interval is

(Round to three decimal places as needed.)

According to a national study the average consumer unit spent $1739 on apparel and services in 2012. That same year, 25 consumer units in the Northeast were surveyed about their annual expenditures, in dollars, on apparel and services. At the 2% significance level, the data provide sufficient evidence to conclude that the 2012 mean annual expenditure on apparel and services for consumer units in the Northeast differed from the national mean of $1739. (Note: x=$1920.22 and s=$349.83.)

The confidence interval is

(Round to two decimal places as needed.)

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