| Your name |
| DS 123 Lab #3 |
| Due: 09/21/2016 |
| Question 1. | Problem 9.14, p. 355 |
| Notice the data for this problem are located on the second spreadsheet, tab below. Use the |
| Data Analysis Toolkit to develop the descriptive statistics for the data on that spreadsheet, then |
| copy the output and paste it below. By doing so, you won't have to print the data with your lab. |
| | | WaitTime |
| | | Mean |
| | | Standard Error |
| | | Median |
| | | Mode |
| | | Standard Deviation |
| | | Sample Variance |
| | | Kurtosis |
| | | Skewness |
| | | Range |
| | | Minimum |
| | | Maximum |
| | | Sum |
| | | Count |
| | | | z-Statistic | | p-value |
| | | Hypotheses: |
| | | Rejection Region: | a = 0.02 | | a = 0.02 |
| | | | z-coeff = | | Rej H0 if p-value < 0.02 |
| Don't forget: | | | Rej H0 if z <?? |
| The problem |
| tells us | | Test Statistic: | z = | | p-value = |
| SIGMA = 2.47 |
| | | Conclusion: |
| | | Since the test statistic of z = ?? falls | | | Since the test statistic of p-value = ?? falls |
| | | {above/below/between} the critical value | | | {above/below/between} the critical value |
| | | of z = ??, we {reject/do not reject} H0 | | | of a = ??, we {reject/do not reject} H0 |
| | | with at least 98% confidence. | | | with at least 98% confidence. |
| | | Implication: |
| | | There {is/is not} enough evidence to | | | There {is/is not} enough evidence to |
| | | conclude that the new system has | | | conclude that the new system has |
| | | reduced mean waiting time to | | | reduced mean waiting time to |
| | | less than 6 minutes. | | | less than 6 minutes. |
| Question 2. | Problem 9.42, pp. 365-6 |
| Population proportion = 0.95 |
| Sample x = 316 | | | Sample proportion = |
| Sample n = 400 |
| | | | z-Statistic | | p-value |
| | | Hypotheses: |
| | | Rejection Region: | a = 0.01 | | a = 0.01 |
| | | | z-coeff = | | Rej H0 if p-value < 0.01 |
| | | | Rej H0 if z < ?? |
| | | Test Statistic: | z = | | p-value = |
| | | Conclusion: |
| | | Since the test statistic of z =?? falls | | | Since the test statistic of p-value =?? falls |
| | | {above/below/between} the critical | | | {above/below/between} the critical |
| | | value of z = ??, we {reject/do not reject} | | | value of a = ??, we {reject/do not reject} |
| | | H0 at least 99% confidence. | | | H0 at least 99% confidence. |
| | | Implication: |
| | | There {is/is not} enough evidence to | | | There {is/is not} enough evidence to |
| | | conclude that the manufacturer's claim | | | conclude that the manufacturer's claim |
| | | is false. | | | is false. |