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Quality Control Suppose the mean wait-time for a telephone

Chapter 6, Problem 16AYU

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QUESTION:

Problem 16AYU

Quality Control Suppose the mean wait-time for a telephone reservation agent at a large airline is 43 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 42.3 seconds with a standard deviation of 4.2 seconds. Using an α = 0.05 level of significance, do you believe the new policies were effective? Do you think the results have any practical significance?

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QUESTION:

Problem 16AYU

Quality Control Suppose the mean wait-time for a telephone reservation agent at a large airline is 43 seconds. A manager with the airline is concerned that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 42.3 seconds with a standard deviation of 4.2 seconds. Using an α = 0.05 level of significance, do you believe the new policies were effective? Do you think the results have any practical significance?

ANSWER:

Answer :

Step 1

The hypotheses are :  versus : .

Here we know that.

the mean wait-time for a telephone reservation agent at a large airline is 43 seconds.

 = 43.

A sample mean wait-time of 42.3 seconds

 = 42.3

standard deviation of s = 4.2.

A random sample of 250 customers .

n=250

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