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Dvinal [7]
3 years ago
5

Suppose that a customer service center claims that the telephone calls it receives last 112 seconds on average, with a standard

deviation of 9 second. If you took a sample of 324 telephone calls, which of the following mean times would be within the 95% confidence interval
Mathematics
1 answer:
adoni [48]3 years ago
5 0

Answer:

95% Confidence interval:  (111.02,112.98)

Step-by-step explanation:

Average = 112 seconds

Standard Deviation = 9 seconds

n = 324

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

112 \pm 1.96(\frac{9}{\sqrt{324}} ) = 112 \pm 0.98 = (111.02,112.98)

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