You are given the following information obtained from a random sample of 6 observations. Assume the population has a normal distribution. 14 20 21 16 18 19
a. What is the point estimate of ??
b. Construct an 80% confidence interval for ?.
c. Construct a 98% confidence interval for ?.
d. Discuss why the 80% and 98% confidence intervals are different.
a. 18
b. 16.43 to 19.57 (rounded)
c. 14.42 to 21.58 (rounded)
d. As the level of confidence increases, the confidence interval gets wider.
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