How do the and z distributions differ? A. The distribution has broader tails (it

Question

How do the and z distributions differ? A. The distribution has broader tails (it is flatter around zero). B. There is no difference between the and z distributions. C. The z distribution has asymptotic tails, while the t distribution does not. D. The z distribution has broader tails (it is flatter around zero) What conditions are required by the central limit theorem before a confidence interval of the population means may be created? A. The underlying population need not be normally distributed if the sample size is 30 or more. B. The underlying population must be normally distributed. C. The underlying population need not be normally distributed if the population standard deviation is known. D. The underlying population must be normally distributed if the sample size is 30 or more. Given a sample mean of 27 and a sample standard deviation of 3.5 computed from a sample of size 36, find a 95% confidence interval on the population mean. A. [26, 0142, 27, 9858] B. [26, 9930, 27,0070] C. [25, 8158, 28, 1842] D. [25, 8170, 28, 1830] A Type I error occurs when we ______. A. Reject the null hypothesis when it is actually false B. Do not reject the null hypothesis when it is actually true C. Do not reject the null hypothesis when it is actually false D. Reject the null hypothesis when it is actually true A Type II error occurs when we ______. A. Do not reject the null hypothesis when it is actually false B. Reject the null hypothesis when it is actually free C. Do not reject the null hypothesis when it is actually true D. Reject the null hypothesis when it is actually true When we reject the null hypothesis when it is actually false we have committed ______. A. A Type II error B. No error C. A Type I error D. A Type I error and a Type II error The alternative hypothesis typically _____. A. States the probability of rejecting the null hypothesis when it is true B. Contests the status quo for which a corrective action may be required C. Corresponds the presumed default of nature D. States the probability of rejecting the null hypothesis when it is false

Explanation / Answer

9) option A is correct

10)option A

11)std error of mean =std deviation/(n)1/2 =0.583

for 95% CI and 35 df ; t=2.0301

hence confidence interval =sample mean -/+ t*std error =25.8158 ; 28.1842 option C

12)option D

13)option A

14)option B

15)option B

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