1.
A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution. The information is summarized below. |
Statistic | Men | Women |
Sample mean | 24.71 | 21.94 |
Population standard deviation | 5.53 | 4.71 |
Sample size | 36 | 41 |
At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? Hint: Consider the "Men" data as the first sample. |
(a) | Compute the value of the test statistic. (Round your answer to 3 decimal places.) |
Value of the test statistic |
(b) | What is your decision regarding on null hypothesis? |
The decision is (Click to select)do not rejectreject the null hypothesis that the means are the same. |
(c) | What is the p-value? (Round your answer to 4 decimal places.) |
p-value |
2.
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether there are more units produced on the night shift than on the day shift. A sample of 55 day-shift workers showed that the mean number of units produced was 342, with a population standard deviation of 26. A sample of 63 night-shift workers showed that the mean number of units produced was 349, with a population standard deviation of 32 units. |
At the .10 significance level, is the number of units produced on the night shift larger? |
(1) | This is a (Click to select)twoone-tailed test. |
(2) |
The decision rule is to reject H0:μd≥μnH0: μd≥μn if z < . (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) |
(3) |
The test statistic is z = . (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) |
(4) | What is your decision regarding H0H0? |
(Click to select)Reject.Do not reject. |
3.
A coffee manufacturer is interested in whether the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers. Assume the population standard deviation for those drinking regular coffee is 1.39 cups per day and 1.55 cups per day for those drinking decaffeinated coffee. A random sample of 45 regular-coffee drinkers showed a mean of 4.59 cups per day. A sample of 39 decaffeinated-coffee drinkers showed a mean of 5.19 cups per day. |
Use the .05 significance level. |
(1) | This is a (Click to select)onetwo-tailed test. |
(2) |
The decision rule is to reject H_{0} : μ_{r} ≥ μ_{d} if z < . (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) |
(3) |
The test statistic is z = . (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) |
(4) | What is your decision regarding H_{0} ? |
(Click to select)Do not reject.Reject. |
(5) | The p-value is . (Round your answer to 4 decimal places.) |
1.
Statistic | Men | Women |
Sample mean | 24.71 | 21.94 |
Population standard deviation | 5.53 | 4.71 |
Sample size | 36 | 41 |
significance level = .01 Two tail test |
(a) | Compute the value of the test statistic. (Round your answer to 3 decimal places.) |
Value of the test statistic | 2.349 |
(b) | What is your decision regarding on null hypothesis? |
The decision is do not reject the null hypothesis that the means are the same. |
(c) | What is the p-value? (Round your answer to 4 decimal places.) |
p-value | 0.0246 |
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