The customer service desk at Company X answers phone calls i

The customer service desk at Company X answers phone calls in an average of 5 minutes (H₀: =5 ). After instituting a new training program, the company believes that the average time to answer a call has decreased (HA: <5 ). The company specifies a significance level of 5% (0.05).

The power of the test when, in reality, =3 is 0.85.

Before the sample is collected, the probability that the analyst fails to reject the null hypothesis when, in reality, =3, is equal to ______ (Blank 1).

Similarly, the probability that the analyst rejects H₀ when, in reality, =5, is equal to_____ (Blank 2). Use two decimal places.

Solution

1. This asks for the probability of a type II error. As

P(Type II) =1 -Power

Hence,

P(Type II) = 1 - 0.85 = 0.15 [ANSWER]

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2.

This asks for the probability of a type I error. Thus,

P(Type I) = alpha = 0.05 [ANSWER]