- A For A Two Tailed Test If 2 36 Is In The Rejection Region And The Test Statistic Is 3 11 And The Null Hypothesis Is 1 (31.86 KiB) Viewed 28 times
- A For A Two Tailed Test If 2 36 Is In The Rejection Region And The Test Statistic Is 3 11 And The Null Hypothesis Is 2 (58.71 KiB) Viewed 28 times
- A For A Two Tailed Test If 2 36 Is In The Rejection Region And The Test Statistic Is 3 11 And The Null Hypothesis Is 3 (52.22 KiB) Viewed 28 times
2. Given below are several possible test statistics for a right tail test for the population mean Which of these test statistics has the smallest p-value? (a) 1.04 (b) 1.27 (c) 1.28 (d) 1.69 3. We have a left tail one sample test for the population mean. Assume the nutt hypothesis is true Use 4% for the significance level. The sample size is 27, the sample mean is 32.8, the sample standard deviation is 4.1, and the null mean is 35. The test result is (a) a correct decision (b) a Type I error (c) a Type Il error 4. The test statistic value for the previous problem is (fill in the blank) 5. We have a right tail one sample test for the population mean. Assume the null hypothesis is false. Use 3% for the significance level. The sample size is 82, the sample mean is 67.3, the sample standard deviation is 7.9, and the null mean is 65. The test result is (a) A correct decision (b) a Type I error (c) a Type Il error 6. Listed below are several possible test statistics. Which one is the largest test statistic that is NOT in the rejection region for the previous problem? (a) 1.78 (b) 1.88 (c) 1.98 (d) 2.08 (e) none are in the rejection region 7. The p-value is less than the significance level (a) We have a Type I error (b) We have a Type Il error (c) We may have a Type I error (d) We may have a Type II error 8. A researcher performs a right-tailed hypothesis test for the mean of a certain population. The researcher used a significance level of 5%. If the researcher had used a significance level of 1% then (a) the p-value would have decreased (b) the p-value would have remained the same (c) the p-value would have increased (d) we do not know what effect it would have on the p-value 9. We gathered 50 observations from a certain population, and calculated a 95% confidence interval. If we had quadrupled the number of observations what would have been the approximate effect on the width of our confidence interval? (a) It would have been reduced by a factor of 8 (b) It would have been reduced by a factor of 4 (c) It would have been reduced by a factor of 2 (d) It would stay the same 10. If we increase the significance level for a right-tailed test (a) the t critical value increases (b) the p-value increases (c) the probability of a Type I error increases (d) the probability of a type II error increase
11. The p-value is greater than the significance level (a) We can have a Type I error (b) The absolute value of the test statistic is less than the absolute value of the t critical value (c) If we had used a larger value for alpha the p-value would have been smaller (d) We must have had a two tail test 12. Assume the true population mean is 46.8, the t critical value is 1.76, the test statistic is 1 82, and we have Hy: > 47. (a) We have a Type Il error since we rejected the null hypothesis and it is false (b) We have a correct decision since we rejected the null hypothesis and it is false (c) We have a Type Terror since we rejected the null hypothesis and it is true (a) We have a correct decision since we did not reject the null hypothesis and it is true 13. We have a one sample test for the population mean. The significance level is a fixed value. Suppose we increase the sample size. Assume the true mean equals the null mean (a) The t critical value moves closer to zero. (b) The size of the rejection replon decreases (c) The probability of a Type I error decreases (d) The probability of a Type Terror increases 14. Suppose the alternative hypothesis is true. (-) The probability the test statistic is in the rejection region is less than alpha. (b) The probability the test statistic is in the rejection region equals alpha (c) The probability the test statistic is in the rejection region is greater than alpha. (d) None of the above Use the following information for problems 15 through 21. Thirty-two 1-Liter specimens of water were drawn from the water supply for a city and the concentration of lead in the specimen was measured. The average level of lead was 7.3 g/Liter, and the standard deviation for the sample was 3.1 we/Liter. Using a significance level of 0.05, do we have evidence the mean concentration of lead in the city's water supply is less than 10 ug/Liter? 15. The t critical value is (fill in the blank) 16. If the true mean equals the null mean the probability the test statistic value will be less than the t critical value is fill in the blank) 17. The test statistic value is fill in the blank) 18. You reject the null hypothesis (a) Yes (b) No (c) it is not possible to know if the null hypothesis should be rejected 19. Our test result cannot be (a) A correct decision (b) a Type I error (c) a Type Il error 20. Given below are some possible values for the true mean (given in units of wr/Liter). Which value will give the largest probability of a Type Il error? (a) 7.2 (b) 86 (c) 9.4 (d) 113 21. Given below are some possible values for the true mean given in units of we/Liter). Which value will give the smallest probability of a Type Il error? (a) 7.2 (b) 86 (c) 94 (d) 11.