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(b) (9 points) Find a 95% confidence interval for the population mean w. Do this by completing the following: (1) In this case, a = • Zal2 = (2) Za/2 (3) The confidence interval is (c)(3 points) Interpret your result: 7. (15 points, 3 points each) Given the sample mean of a simple random sample the sample size, the sample standard deviation, the test hypothesis and significance level: * = 16,5 = 3, n = 22,H: = 13, H.: u < 13, 5% significand level. Perform the one mean t-test. (a) The value of the test statistic t = (b) The test statistic has df = (c) The critical value is (d) Reject or not reject the null hypothesis (e) Interpretation:
(b) (9 points) Find a 95% confidence interval for the population mean w. Do this by completing the following: (1) In this case, a = • Zal2 = (2) Za/2 (3) The confidence interval is (c)(3 points) Interpret your result: 7. (15 points, 3 points each) Given the sample mean of a simple random sample the sample size, the sample standard deviation, the test hypothesis and significance level: * = 16,5 = 3, n = 22,H: = 13, H.: u < 13, 5% significand level. Perform the one mean t-test. (a) The value of the test statistic t = (b) The test statistic has df = (c) The critical value is (d) Reject or not reject the null hypothesis (e) Interpretation:
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Choose the best answer.
Suppose you collect a sample that has a mean of 37 with a 99% confidence interval of [32,42], and you are interested in the hypothesis test below at the α=0.05 level.
| H0: μ=43 |
| Ha: μ≠43 |
a) You should ask for more information because the sample size and standard deviation are needed for a hypothesis test of this kind.
b) You should fail to reject the null hypothesis because the p-value is greater than 0.05.
c) You should ask for more information because the confidence interval does not match the αα level.
d) You should reject the null hypothesis because the p-value is less than 0.05.
