The U.S. Dairy Industry wants to estimate the mean yearly milk reveals the mean

Question

The U.S. Dairy Industry wants to estimate the mean yearly milk reveals the mean yearly consumption to be 84 gallons with a standard deviation of 26 gallons n. A sample of 26 people (a-1) What is the value of the population mean? Population mean Click to select) (a-2) What is the best estimate of this value? mean (c) For a 95 percent confidence interval, what is the value of t? (Round your answer to 3 decimal places.) (d) Develop the 95 percent confidence interval for the population mean, (Round your answers to 3 decimal places.) and al for the (e) Would it be reasonable to conclude that the population mean is 62 gallons?

Explanation / Answer

Ans:

a)Population mean will be approximately equal to sample mean i.e. 84

b)Best estimate of population mean=sample mean=84

c)df=26-1=25

t value for 95% CI and df=25 is 2.060

d)95% CI of population mean

=84+/-2.060*(26/sqrt(26))

=84+/-10.502

=(73.498, 94.502)

e)As,confidence interval does not include 62,so we can not conclude that population mean is 62.

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