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The null hypothesis that the mean daily caloric intake in the adult population of a rural county is 1800 calories is being tested. A sample of 400 had a mean of 1785 and a standard deviation of 240. Use α = 0.10.
a) What is your conclusion?
b) What is the p-value? Explain, in your own words, in this context.
c) Find a 95% confidence interval for the mean daily caloric intake. Interpret this interval.
d) What is the difference between a chosen level of significance and the observed level of significance? Explain.
e) Based on the answer to part b), can you conclude that there is a 95% chance that the true mean daily caloric intake is 1800 calories? Explain?
f) What is meant by an unbiased estimator in this context and what is your unbiased estimate?
g) Does sample size play any role in estimation? Explain clearly.
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