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A travel agency call centre wants to know the average number of calls received per day by its call centre. A random sample of 21 days is selected and the sample mean number of calls received was found to be 166.2 with a sample standard deviation of 22.8 calls. Assume that calls received daily are normally distributed.

(a) Calculate a 95% confidence interval for the mean number of daily calls received by the call centre. Interpret the findings.

(b) Find a 99% confidence interval for the mean number of daily calls received by the call centre.

(d) Compute the confidence interval in (a) using Excel's TINV formula.

(e) Estimate, with 95% confidence, the total number of calls received over a 30-day period. Interpret the result.

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