Consider a random sample of size n from a normal distribution with unknown mean u and unknown variance o?. Suppose the sample mean is X and the sample variance is S?. n = 16, the observed sample mean ī is 8.9. the observed sample variance s? is 25 and 4o = 10.5. Suppose we now want to test Ho : o? = of versus H1 : o? + of. Which of these test statistics should we use? Select one: (n-1)s O a. W = of O b. Z= O c. T= Let of = 36. What is the (appropriate) observed test statistic? Give answer to three decimal places. Finally, we will compute a 99% confidence interval for o?. What is the lower endpoint of this 99% confidence interval? Give answer to three decimal places. What is the upper endpoint of this 99% confidence interval? Give answer to three decimal places.

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One of the following is the minimum variance unbiased estimator for u. The sample variance. The sample mean. The sample mean square error. The meadian.

I. There are two samples with means 15 and 18. Both of those samples consist of 24 observations. Sample standard deviations are equal to 4 in both cases. If you want to test whether the difference between the mean in the first and the mean in the second population is equal to 0, what is your decision at the .01 level?

An analysis of variance produces SS total=90 and SS within=40 For this analysis what is SS  between?  50  130  3600 Cannot be determined without additional information

Listed below are systolic blood pressure measurements (mm Hg) taken from the right and left arms of the same woman. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test for a difference between the measurements from the two arms. What can be concluded? Right arm Left arm 150 142 120 131 167 160 179 156 In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the measurement from the right arm minus the measurement from the left arm. What are the null and alternative hypotheses for the hypothesis test? O A. Ho: Hd = 0 H₁: Hd 0 Since the P-value is than the significance level, the null hypothesis. There sufficient evidence to support the claim of a difference in measurements between the two arms.

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I need help finding the test statistic and the P-value

10. For which of the following cases would you use a t-test statistic? A. Where the population distribution is not normal, the population variance is not known and the sample size is below 25. B. Where the population distribution is not normal but the population variance is known. C. Where the population distribution is normal, the population variance is not known and the sample size is below 25. D. Where the population distribution is normal, the population variance is known and the sample size is 25 or more.