(Answered) Find the sum of the areas under standard normal

Statistics

Question 1: Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution.The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.40 years and a standard deviation of 2.00 years. Random samples of size 19 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth.

Question 2: In a survey of women in a certain country (ages 20-29), the mean height was 66.4 inches with a standard deviation of 2.93 inches. Answer the following questions about the specified normal distribution.

(a) What height represents the 98th percentile?

(b) What height represents the first quartile?

Question 3: Find the sum of the areas under the standard normal curve to the left of z= -1.25 and to the right of z= 1.25.

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