Consider the following hypothesis test: H0: u>=71 Ha:u<71 A sample of 110 is used and the population standard...

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Statistics

Consider the following hypothesis test:

H0: u>=71

Ha:u<71

A sample of 110 is used and the population standard deviation is11. Compute the -value and state your conclusion for each of thefollowing sample results. Use a=0.02. Round value to two decimalplaces and p-value to four decimal places. If your answer is zero,enter \"0\". Enter the negative value as a negative number.

  1. x^- =68.5

z-values =?

p-value=?

  1. x^- =67.5

z-values=?

p-value=?

c. x^- =66

z-values =?

p-value=?

d. x^- =73

z-values =?

p-value=?

CCN and ActMedia provided a television channel targeted toindividuals waiting in supermarket checkout lines. The channelshowed news, short features, and advertisements. The length of theprogram was based on the assumption that the population mean time ashopper stands in a supermarket checkout line is 8.5 minutes. Asample of actual waiting times will be used to test this assumptionand determine whether actual mean waiting time differs from thisstandard.

  1. Formulate the hypotheses for this application.

Ho:u=8.5

Ho:=/8.5

  1. A sample of 100 shoppers showed a sample mean waiting time of8.6 minutes. Assume a population standard deviationof  o=3.8 minutes. What is the p-value?

z values =? To 2 decimals

p-value=? To 4 decimals

d. Compute a 98% confidence interval for thepopulation mean. Does it support your conclusion?

  ,   (to 2 decimals)

Answer & Explanation Solved by verified expert
4.1 Ratings (520 Votes)
Solution 1 a x 685 State the hypotheses The first step is to state the null hypothesis and an alternative hypothesis Null hypothesis u 71 Alternative hypothesis u 71 Note that these hypotheses constitute a onetailed test The null hypothesis will be rejected if the sample mean is too small Formulate an analysis plan For this analysis the significance level is 002 The test method is a onesample ztest Analyze sample data Using sample data we compute the standard error SE z statistic test statistic z SE s sqrtn SE 10488 z x u SE z 238 where s is the standard deviation of the sample x is the sample mean u is the hypothesized population mean and n is the sample size The observed sample mean produced a z    See Answer
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