15. If a z test statistic value is 1.58 in a right-tail hypothesis test where th
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15. If a z test statistic value is 1.58 in a right-tail hypothesis test where the researcher is attempting to prove that the mean is greater than some specific number, what is the p-value of the test? 16. If a z test statistic value is 1.58 in a two-tail hypothesis test where the researcher is attempting to prove that the mean is different from a specific number, what is the p-value of the test? 17. If the value of the z test statistic is -1.85 in a hypothesis test on the population mean, but the researcher was interested in showing that the mean is not equal to some specific number and had stated that in the alternative hypothesis, then what is the p-value in this situation? 18. If the value of the z test statistic is -1.85 in a hypothesis test on the population mean, but the researcher was interested in showing that the mean is less than some specific number and had stated that in the alternative hypothesis, then what is the p-value in this situation? 19.Assume the research question is, "Do the data indicate the mean differs from 120?" What is the value of the Z test statistic if the population standard deviation is known to be 125 and the sample mean based on a sample of 625 observations is 135? 20. College students carry more credit card debt on average than they did one decade ago. A consumer credit organization is studying the debt of college students. They collected credit information from 900 college students across the US. This sample yielded a mean debt of $2700. The population standard deviation is $300. What is the numerical value of the test statistic to test whether the mean amount of credit card debt for college students is $2745? 21. With a test statistic of -4.5 in the above problem will the hypothesis that the mean is equal to $2745 be rejected at the 5% significance level?Explanation / Answer
Question 15) Right tailed alternative hypothesis
P value =1-NORMSDIST(1.58)...........................using Excel command.
The P-Value is 0.057053.
The result is not significant at p < 0.05.
Question 16) Two tailed alternative hypothesis
P value =2*(1-NORMSDIST(1.58))..................................using Excel command.
The P-Value is 0.114107.
The result is not significant at p < 0.05
Question 17) Two tailed alternative hypothesis
P value =2*NORMSDIST(-1.85)............................using Excel command
The P-Value is 0.064314.
The result is not significant at p < 0.05
Question 18) Left tailed alternative hypothesis
P value =NORMSDIST(-1.85)............................using Excel command
The P-Value is 0.032157.
The result is significant at p < 0.05
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