Problem6 Calculate the test statistic. (A z-score and a t-score are examples of

Question

Problem6 Calculate the test statistic. (A z-score and a t-score are examples of test statistics.) In order to present your final results with a numerical accuracy of 0.01, it will be necessary to perform your intermediate calculations with an accuracy of O.001 Part 1 The cost of a daily newspaper varies from city to city. A study was done to test the claim that the average cost of a daily newspaper is S0.30 Twenty cties were surveyed; the average cost was $0.40 with a standard deviation of $0.05 Part 2 Your statistics instructor claims that 60 percent f the students who take an Elementary Statistics class go through life feelng more eniched. For some mysterious reason, most people don't believe this. You decide to check this out on your own. You randomly survey 70 former Elementary Statistics students and find that 35 feel more enriched as a result of the class

Explanation / Answer

1)

2)

here mean =np =70*0.6=42

and std deviation =(np(1-p))1/2 =4.099

hence test statistic z =(35.5-42)/4.099=-1.59

population mean = 0.3 sample mean xbar= 0.4 sample size                n= 20 population std deviation s= 0.05 standard errror of mean = sx=s/n= 0.011 test statistic          t = (xbar-)/sx = 9.09

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