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The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 15...

The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 15 people reveals the mean yearly consumption to be 62 gallons with a standard deviation of 22 gallons. Assume the population distribution is normal. (Use t Distribution Table.)

  1. Develop the 98% confidence interval for the population mean. (Round your answers to 3 decimal places.)
Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

t /2,df = 2.624

Margin of error = E = t/2,df * (s /n)

= 2.624 * (22 / 15)

Margin of error = E = 14.905

The 98% confidence interval estimate of the population mean is,

- E < < + E

62 - 14.905 < < 62 + 14.905

47.095 < < 76.905

(47.095 , 76.905)

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