http://ezto.mheducation.com/hm.tpx Chapter 9 Homework [i] Amazon.com-Online Sh..

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http://ezto.mheducation.com/hm.tpx Chapter 9 Homework [i] Amazon.com-Online Sh.. ?'z CengageNowv2 Online t -TripAdvisor value 8.00 points (Round all intermediate cakculations to at least 4 decimal places.) Consider the following hypotheses: Ha: ?#20 The population is normally distributed. A sample produces the following observations: 24 20 24 21 21 2419 Use the p-value approach to conduct the test at a 5% level of significance Use Table2 Click here for the Excel Data File a. Find the mean and the standard deviation. (Round your answer to 2 decimal places.) Mean Standard deviation b. Calculate the value of the test statistic (Round your answer to 2 decimal places.) Test statistic

Explanation / Answer

F

> x=c(24,20,24,21,21,24,19);x

[1] 24 20 24 21 21 24 19

> t.test(x,mu=20,conf.level=0.95)

        One Sample t-test

data:  x

t = 2.3224, df = 6, p-value = 0.05925

alternative hypothesis: true mean is not equal to 20

95 percent confidence interval:

19.90045 23.81384

sample estimates:

mean of x

21.85714

#here we observe that los 5% is less than p-value=0.05925 so we accept Ho

>a) m=mean(x);m

Mean= 21.86

> v=var(x);v

[1] 4.47619

> sd=sqrt(v);sd

Standard deviation= 2.12

b)

Test statistics=2.32

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