A random sample of five orders was selected from a year of trading, carried out by a kitchen installation company. The lead times of these orders were as follows (days): 51        45        73        48        55  (a)Construct a 95% confidence interval for the population mean.  (b)Explain carefully what the confidence interval tells us. (c) If we used these same data to construct a 99% confidence interval, would the    interval be wider or narrower than   the 95% confidence interval? Explain.

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A random sample of five orders was selected from a year of trading, carried out by a kitchen installation company. The lead times of these orders were as follows (days):

51        45        73        48        55

 (a)Construct a 95% confidence interval for the population mean.

 (b)Explain carefully what the confidence interval tells us.

(c) If we used these same data to construct a 99% confidence interval, would the    interval be wider or narrower than   the 95% confidence interval? Explain.

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