Question

In: Statistics and Probability

1. Suppose the heights of fully grown pine trees in the state of Washington have mean...

1. Suppose the heights of fully grown pine trees in the state of Washington have mean 66 ft and standard deviation 1.2 ft.

What is the probability that the mean height of 36 fully grown trees selected at random is between 65.5 and 66.5 feet tall? (Round σ¯x to two decimal places and your answer to four decimal places.)

2. Let X be a random variable that represents the weights in pounds (lb) of adult females who are in their 40s. X has mean μ= 139 lbs and standard deviation σ= 10 lbs. An adult female in her 40s that weighs above 143 is considered overweight.

What is the probability that 35 adult females in their 40s have a mean weight over 143 lbs? (Round σ¯x to two decimal places and your answer to four decimal places.)

Solutions

Expert Solution

TOPIC:Application of the Central limit theorem.


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