In: Statistics and Probability
Below you are given ages that were obtained by taking a random sample of 6 undergraduate students. Assume the population has a normal distribution.
40 |
42 |
43 |
39 |
37 |
39 |
a. |
What is the point estimate of μ? |
b. |
Determine the standard deviation. |
c. |
Construct a 90% confidence interval for the average age of undergraduate students. |
d. |
Construct a 99% confidence interval for the average age of undergraduate students. |
e. |
Discuss why the 99% and 90% confidence intervals are different. |
a) 40
b) 2.1909
c)
d)
e) both are different because 99% confidence interval is wider than 90% confidence interval.
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