Would a sample of 20 fire calls with a mean response time of 5 minutes 30 seconds provide sufficient evidence to show that the goal is not being met at α = .01?

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The Scottsdale fire department aims to respond to fire calls in 5 minutes or less, on average.
Response times are normally distributed with a standard deviation of 1 minute. Would a sample
of 20 fire calls with a mean response time of 5 minutes 30 seconds provide sufficient evidence to
show that the goal is not being met at α = .01?

Expert Solution
Step 1: Determine the given data in the question

Let mu be the population mean response time.

Given that,

Population mean left parenthesis mu right parenthesis equals 5

Population standard deviation left parenthesis sigma right parenthesis equals 1

Number of fire calls left parenthesis n right parenthesis equals 20

Mean response time left parenthesis x with bar on top right parenthesis equals 5.5

Assume the level of significance left parenthesis alpha right parenthesis equals 0.01


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