In: Statistics and Probability
1. (15 pts) 52% of adults in the United States are women and 48% are men. The heights of the men follow an approximately normal distribution with mean 69.1 inches and standard deviation of 2.9 inches. The heights of the women are approximately normally distributed with mean 64.5 inches and a standard deviation of 2.7 inches. Suppose that we select 10 adults at random from the U.S. population.
If a simulation produced a random selection of 10 adults with
The average height as 68.186572 inches
Max height of 73.16397 inches
A) Calculate the 95% prediction interval for the average height of a random sample of 10 adults
B) Calculate 95% prediction interval for the maximum height of a random sample of 10 adults.
For the above we have to work out the confidence interval for 1) Average Height 2) Maximum height
Refer to the attached images
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Thank You.