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mathematics review statistics with answers

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True or False 1. A t-test is used when the population standard deviation is known. F 2. The degrees of freedom in a t-test is one less than the margin of error. F 3. A confidence interval can only ... be found when the standard deviation of the population is known. F 4. The margin of error for a t-test is calculated using the sample mean. F 5. The null hypothesis is a claim made about the sample.f population 6. The significance level is denoted by n. F 7. If the conclusion of a hypothesis test is “fail to reject the null hypothesis,” then the results are statistically significant. F 8. A 95% confidence interval for a population mean must be calculated using the sample mean. T 9. A z-score is a test statistic.T 10. A t-statistic is the same for a 95% confidence interval and a 90% confidence interval regardless to the same size. F 11. Give the t-statistic for a 95% confidence interval and n = 26. 2.060 12. Find the margin of error for a 95% confidence interval (nearest hundredth) of the mean test score of Statistics students at Clayton State University given the following sample data scores: N=14, Degree of freedom=13, X bar= 87 85 56 82 67 77 73 71 90 74 76 79 81 84 13. Find a 99% confidence interval estimate (nearest hundredth) using the data in #12. T a/2=3.012, E=(3.012)(8.90)/SQROOT14, E=7.16, 77.29-7.16= 70.13<M<84.45 14. The height (in inches) of males in the United States is believed to be Normally distributed, with mean μ. The average height of a random sample of 50 American adult males is X = 69.72 inches, and the sample standard deviation of the 50 heights is s = 4.23. For a 95% confidence interval, find the margin of error. E=(2.009)(4.28)/SQROOT50=1.202 [Show More]

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