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A Coach Is Deciding on Whether to Buy Stopwatches from Company

question 61

Essay

A coach is deciding on whether to buy stopwatches from company A or company B. A test was set up to see how many seconds each stopwatch was off in a precise 10-minute test period. For samples of watches from companies A and B, the following information on stopwatch errors was found.  Company A  Company B  Sample size 58 Sample mean (seconds) .18.15 Sample variance .31.1\begin{array}{lcc} & \text { Company A } & \text { Company B } \\\text { Sample size } & 5 & 8 \\\text { Sample mean (seconds) } & .18 & .15 \\\text { Sample variance } & .3 & 1.1\end{array} Test the hypothesis of equal variances using a .05 level of significance. Be sure to state the null and alternative hypotheses being tested and the final conclusions of the test.


Definitions:

Multiple Personalities

A psychiatric disorder wherein an individual exhibits two or more distinct identities or personality states, each with its own pattern of perceiving and interacting with the world, known as Dissociative Identity Disorder (DID).

Dissociative Disorders

Controversial, rare disorders in which conscious awareness becomes separated (dissociated) from previous memories, thoughts, and feelings.

Child Abuse

Physical, sexual, or emotional maltreatment or neglect of a child, especially by a parent or other caregiver.

Posttraumatic Stress Disorder

A psychological disorder caused by exposure to or being a witness to a traumatic incident, marked by persistent flashbacks, distressing dreams, and intense anxiety.

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