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stepan [7]
3 years ago
5

Carpetland salespersons average $8,000 per week in sales. Steve Contois, the firm’s vice president, proposes a compensation plan

with new selling incentive. Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increase the average sales per salesperson.
a. Develop the appropriate null and alternative hypotheses.
b. What is the Type I error in this situation? What are the consequences of making this error?
c. What is the Type II error in this situation? What are the consequences of making this error?
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

Answer with Step-by-step explanation:

Since we have given that

Average per week in sales = $8000

Steve hopes that the results of a trial selling period will enable him to conclude that the compensation plan increase the average sales per salesperson

So, the appropriate null and alternate hypothesis would be

H_0:\mu=8000\\\\H_a:\mu>8000

b. What is the Type I error in this situation? What are the consequences of making this error?

Type 1 error are those errors in which null hypothesis are supposed to be rejected, but it does not get rejected.

It means sales per week is greater than $8000 but in actual it is not.

c. What is the Type II error in this situation? What are the consequences of making this error?

Type 2 are error are those errors in which null hypothesis are supposed to be accepted but it get rejected.

It means average sales per week is actually $8000 but it is calculated that average sales is less than $8000.

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<h3>Question:</h3>

<em>Jon is selling tickets for the school talent show. On the 1st day, he sold 3 senior tickets and 12 child tickets for $195. On the 2nd day he sold 13 senior tickets for $299. Find the price of a senior citizen ticket.</em>

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Create a system of equations to help you solve this problem. The system of equations will look like: 3s + 12c = 195 and 13s = 299. The variable s represents the cost of senior tickets and the variable c represents the cost of children tickets.

\left \{ {{3s~+~12c~=~195} \atop {13s~=~299}} \right.

Solve the second equation for the variable s as this is the easiest way to solve the problem. Solve the second equation for s by dividing both sides of the equation by 13 to isolate the variable s.

s = 23

Since the question was only asking for the price of a senior citizen ticket, you are technically done. The first equation was only put there to confuse you or allow you to check your work if you needed to. The price of a senior citizen ticket (variable s) is $23.

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