Perform the Required Chi-Square Hypothesis Test

question 39

Essay

Perform the required chi-square hypothesis test. Preliminary data analyses and other information indicate that it isreasonable to assume that the variable under consideration is normally distributed. Use the critical-value approach or theP-value approach as indicated.
-With individual lines at the checkouts, a store manager finds that the standard deviation for the waiting times on Monday mornings is 5.2 minutes. After switching to a single waiting line, he finds that for a random sample of 29 customers, the waiting times have a standard deviation of 4.6 minutes. Use a 0.025 significance level to test whether the standard deviation of the waiting times using a single line is less than 5.2 minutes. Use the critical-value approach.

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Definitions:

Common Causes

Sources of variation in a process or system that are inherent and can be attributed to the natural variability of the process.

Run Chart

A graphical representation used in process improvement that displays observed data points in a time sequence, helping identify trends or patterns.

Sample Statistic

A numerical measure that describes some characteristic of a sample of data.

Special Causes

Unusual or non-random factors that cause variation in a process, distinguished from common causes that are inherent to the process.