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A large company offers its employees two different health insurance plans and tw

ID: 3250078 • Letter: A

Question

A large company offers its employees two different health insurance plans and two different dental insurance plans. Plan 1 of each type is relatively inexpensive, but restricts the choice of providers, whereas plan 2 is more expensive but more flexible. The accompanying table gives the percentages of employees who have chosen the various plans: Suppose that an employee is randomly selected and both the health plan and dental plan chosen by the selected employee are determined. a. What is the probability that the selected employee has chosen the more restrictive plan of each type? b. What is the probability that the employee has chosen the more flexible dental plan? Two formulations for a certain coating, designed to inhibit corrosion, are being tested. For each of eight pipes, half the pipe is coated with formulation A, and the other half is coated with formulation B. Each pipe is exposed to a salt environment for 500 hours. Afterward, the corrosion loss (in mu m) is measured for each formulation on each pipe. Can you conclude that the mean amount of corrosion differs between the two formulations?, including null and alternative hypothesis. Write your conclusion in a complete sentence using nontechnical terms. Use alpha = 0.05.

Explanation / Answer

Solution

Q11 Part (a)

Probability that a randomly chosen employee has chosen more restrictive plan of both types (i.e., Plan 1 of both types) = percentage of employees who have chosen Plan 1 of both types = 27% = 0.27 ANSWER

Q11 Part (b)

Probability that a randomly chosen employee has chosen more flexible dental plan = percentage of employees who have chosen Plan 2 of dental plan = (14 + 35) = 49% = 0.49 ANSWER

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