the US dairy industry wants to estimate the mean yearly milk consumption. A samp
ID: 3229897 • Letter: T
Question
the US dairy industry wants to estimate the mean yearly milk consumption. A sample of 16 people reveals that the sample mean yearly consumption mean was 70 gallons, and the sample standard deviation was 10 gallons. 5) The US Dairy industry wants to estimate the mean yearly milk consumption. A sample of 16 people reveals that the sample mean yearly consumption mean was 70 gallons, and the sample standard deviation was 10 gallons. Assume that the population of milk consumption is normally distributed (Otherwise using the t-bale would not be valid!) a. What is the best estimate of the true population consumption mean? b. What is the t-value for a 90% confidence interval? c. Find a 90% confidence interval for the population mean. d. Before your study was conducted, the dairy industry believed that average consumption was 75 gallons. Does their belief in contradict your findings in the confidence interval? Or is it agreement with your findings? (please no long explanations, a or Agrees" is greatly appreciated.)Explanation / Answer
a) Best Estimate population mean : point estimate = 70
b) df =16-1 =15
alpha = (1-0.9)/2 = 0.05
t = invT(0.05,15) = 1.753
c)
sample mean = 70
Margin of Error = 1.753*(10/sqrt(16)) = 4.3825
90%Confidence interval for the population mean is
between 70-4.3825 and 70+4.3825 = (65.6175,74.3825)
d) Contradicts (as it doesn't fall in interval)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.