Find a confidence interval for μμ or pp.
a) (3 pts)
A random sample of 19 adults participated in a four-month weight loss program. Their mean weight loss was 12.9 lbs, with a standard deviation of 3.2 lbs. Use this sample data to construct a 99% confidence interval for the population mean weight loss for all adults using this four-month program. You may assume the parent population is normally distributed. Round to one decimal place.
<μ<<μ<
b) (2 pts)
State the complete summary of the confidence interval for part a, including the context of the problem.
c) (3 pts)
In the year 2000, a survey of 891 U.S. adults were asked who they felt was the greatest President. Of those surveyed, 271 reported that Abraham Lincoln was the greatest President. Use this data to construct a 98% confidence interval for the population proportion of all U.S. adults who would say that Abraham Lincoln was the greatest president before the year 2000. Answer using decimals and round to four decimal places

b) (2 pts)
State the complete summary of the confidence interval for part b, including the context of the problem.