6. (5 points) An operations manager who supervises an assembly line is consideri

Question

6. (5 points) An operations manager who supervises an assembly line is considering a new method to improve the time to complete the tasks. He decides to conduct an experiment wherein two different methods are used to complete the same task. He measures the times (in seconds). The data are listed here. Method 18.8 9.6 .49.0 8.39.29.0 8.7 8.5 9.4 Method 2 9.2 9.4 8.9 9.6 9.78.4 8.8 8.9 9.0 9.7 Enter the data in Excel and calculate the differences from the two methods. Then use Excel to get the printout of the descriptive statistics for the differences. Note that we have paired samples Use the descriptive statistics in part a to compute a 95% confidence interval for the population mean difference. Can the manager infer that the first method takes less time to finish the tasks than the second method does? Use the descriptive statistics in part a to conduct the test with critical value approach and the 5% significance level. Use "t-Test: Paired Two Sample for Means" in Excel's Data Analysis to get the printout for the test in part c. Based on the Excel printout from part d, conduct the test in part c with the p-value approach. a. b. c. d. e.

Explanation / Answer

#d)

Here t stat value is less than t table value .hence we reject H0 and says first method takes less time to finish the tasks than the second methods does.

#e)

Using analysis of d)

p value is 0.089 which is greater than alpha value 0.05 .

hence we conclude that our alternative is true.

#d)

Variable 1 Variable 2 Mean 8.89 9.16 Variance 0.185444 0.189333 Observations 10 10 Pearson Correlation 0.080645 Hypothesized Mean Difference 0 df 9 t Stat -1.45457 P(T<=t) one-tail 0.089879 t Critical one-tail 1.833113 P(T<=t) two-tail 0.179759 t Critical two-tail 2.262157

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