he US dairy industry wants to estimate the mean yearly milk consumption a sample
ID: 1166058 • Letter: H
Question
he US dairy industry wants to estimate the mean yearly milk consumption a sample of 19 people reveals the mean yearly consumption to be 70 gallons with a standard deviation of 14 gallons. Assume the population distribution is normal. What is the population mean? 70, 14, or unknown? What is the best estimate of this value? For a 98% confidence interval what is the value of T? Develop the 98% confidence interval for the population mean? Would it be reasonable to conclude the population mean is 58 gallons? yes, no, or impossible to tell
Explanation / Answer
ANSWER:
1) The population mean is unknown as we don't have any data for it.
2) The best estimate is the sample mean which is 70 gallons.
3) The T value is 2.553
4) Confidence interval is mean +- t value * (std / (n) ^ 1/2)
70 +- 2.553 * ( 14 / (19) ^ 1/2)
70 +- 2.553 * ( 14 / 4.3588)
70 +- 2.553 * 3.2118
70 +- 8.199
(78.199 , 61.8)
5) no because it is not found between the values of 78.199 and 60.8 , that is 98% confidence interval.
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