The fat content of 7 randomly selected hot dogs was measured as follows: 16.3, 1

Question

The fat content of 7 randomly selected hot dogs was measured as follows:

16.3, 17.1, 13.3, 12.0, 8.5, 17.9, 18.1

It is reasonable to treat these measurements as coming from a normal distribution with unknown mean and unknown variance 2

a)Use the data to calculate an unbiased point estimate of the true mean, , of hot dog fat content.  

b)Use the data to find an unbiased point estimate of the population variance, 2 of hot dog fat content

c) Find the sample standard deviation of the above data  

d)Create a 98% confidence interval for .

e) What critical value did you use to calculate the 98% confidence interval in d?  

f)Create a 98% prediction interval for .

Explanation / Answer

a) sample mean is an unbiased point estimate of the true mean,

= sum of all terms / number of terms = 14.7429

b)

s^2 is unbiased estimator of population variance =

12.9662

c) s = sqrt(sample variance ) =

3.6009

d) 98 % confidence interval =

(10.47, 19.02)

e) critical value = 3.143

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