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Compute the z-statistic you would use if you wanted to examine whether the mean age of...

Compute the z-statistic you would use if you wanted to examine whether the mean age of marriage within a local cult is significantly different from the mean age of marriage in the general population. The data from your cult sample are presented below. You also know that the mean age of marriage in the general population is 29.23, with a population standard deviation of 4.13. Compute zand show your plugged-in formula of z.

Your sample: 13, 15, 16, 18, 51, 12, 65, 25

Now compute the appropriate t-test on the data from the previous problem, with the assumption that you only have population information regarding the mean of 29.23 and will have to estimate the standard deviation of the population because it is unknown. Use the computational formula for estimated population standard deviation when computing the standard deviation. Show your plugged-in formula of t.

Math   Statistics-And-Probability   
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Answer #1

Given : Sample size=n=8

Sample mean =

Sample standard deviation =s=

Population standard deviation=

Population mean =

Significance level=

Hypothesis : Vs

A) The Z - test

The test statistic is ,

Critical value :

Decision : Here ,

Therefore , fail to reject Ho at 5% significance level

Conclusion : Hence , there is not sufficient evidence to conclude that the the mean age of marriage within a local cult is significantly different from the mean age of marriage in the general population

B) The t-test

The test statistic is ,

Critical value :

Decision : Here ,

Therefore , fail to reject Ho at 5% significance level

Conclusion : Hence , there is not sufficient evidence to conclude that the the mean age of marriage within a local cult is significantly different from the mean age of marriage in the general population

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