Question

In an effort to make better use of its resources, the New York City Food Bank engaged in lean process improvement. This employee-driven kaizen effort resulted in a new method for packing meals for distribution to needy families. One goal of the process improvement effort was to reduce the variability in the meal-packing time. The following table summarizes information from a sample of data using the current method and the new method. Did the kaizen event successfully reduce the population variation? Use ? = 0.10 and formulate the appropriate hypothesis test. Current Method New Method Sample Size n1 = 31 n2 = 23 Sample Variance s1^2 = 25 s2^2 = 14 State the null and alternative hypotheses. H0: ?1^2 ? ?2^2 Ha: ?1^2 > ?2^2 Calculate the value of the test statistic (to 2 decimals). The p-value is between 0.05 and 0.10. Use Table 4 of Appendix B. What is your conclusion? Conclude that the population variances has decreased due to the lean process improvement.

          In an effort to make better use of its resources, the New York City Food Bank engaged in lean process improvement. This employee-driven kaizen effort resulted in a new method for packing meals for distribution to needy families. One goal of the process improvement effort was to reduce the variability in the meal-packing time. The following table summarizes information from a sample of data using the current method and the new method. Did the kaizen event successfully reduce the population variation? Use ? = 0.10 and formulate the appropriate hypothesis test.

Current Method                      New Method
Sample Size        n1 = 31           n2 = 23
Sample Variance    s1^2 = 25         s2^2 = 14

State the null and alternative hypotheses.

H0: ?1^2 ? ?2^2
Ha: ?1^2 > ?2^2

Calculate the value of the test statistic (to 2 decimals).

The p-value is between 0.05 and 0.10. Use Table 4 of Appendix B.

What is your conclusion?
Conclude that the population variances has decreased due to the lean process improvement.

In an effort to make better use of its resources, the New York City Food Bank engaged in lean process improvement. This employee-driven kaizen effort resulted in a new method for packing meals for distribution to needy families. One goal of the process improvement effort was to reduce the variability in the meal-packing time. The following table summarizes information from a sample of data using the current method and the new method. Did the kaizen event successfully reduce the population variation? Use ? = 0.10 and formulate the appropriate hypothesis test.

Current Method New Method
Sample Size n1 = 31 n2 = 23
Sample Variance s1^2 = 25 s2^2 = 14

State the null and alternative hypotheses.

H0: ?1^2 ? ?2^2
Ha: ?1^2 > ?2^2

Calculate the value of the test statistic (to 2 decimals).

The p-value is between 0.05 and 0.10. Use Table 4 of Appendix B.

What is your conclusion?
Conclude that the population variances has decreased due to the lean process improvement.

Added by Ian M.

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