A Supermarket Has Just Added a New Cash Register to Reduce

question 83

Essay

A supermarket has just added a new cash register to reduce the waiting times of the customers during weekends.Because a new cash register has been added,the customers expect their waiting time to be less than the waiting time had been before the cash register was added.Suppose the sample variance of the waiting times for 25 customers before adding the new cash register is minutes,while the sample variance of the waiting times for 25 customers after adding the cash register is minutes.The manager of the supermarket believes that the waiting times are normally distributed and that the two samples are drawn independently.
a.Develop the hypotheses to test whether the ratio of two population variances is less than 1.
b.Calculate the appropriate test statistic.
c.Using the p-value approach,determine the decision rule at the 5% significance level.
d.What is the conclusion? Given that all other criteria are satisfied,should the supermarket continue with the new cash register?

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Definitions:

Unsafe Working Conditions

Work environments that pose potential risks to the health and safety of employees due to improper safety measures or hazardous materials.

Heterosexism

The presumption of heterosexuality as the norm, which can result in discrimination or bias against non-heterosexual orientations and identities.

Systemic Discrimination

Discrimination that is ingrained in the policies, practices, and procedures of institutions, resulting in disadvantages to certain groups.

Natural Superiority

The belief in the inherent superiority of certain individuals, groups, or races over others, often without scientific basis.