Complete the following:
Q1: Let Z be a standard normal random variable. Use the calculator provided to determine the value of c such that Carry your intermediate computations to at least four decimal places. Round your answer to at least two decimal places.
P(-c ≤ z ≤ c)=0.9371
Q2: Suppose that the heights of adult women in the United States are normally distributed with a mean of 64.5 inches and a standard deviation of 2.5 inches. Jennifer is taller than 80% of the population of U.S. women. How tall (in inches) is Jennifer? Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimal place.
Q3: According to a recent survey, the salaries of assistant professors have a mean of $41750 and a standard deviation of $700 . Assuming that the salaries of assistant professors follow a normal distribution, find the proportion of assistant professors who earn less than $53000 . Round your answer to at least four decimal places.
Q4: Use the calculator provided to solve the following problems.
• Consider a t distribution with 29 degrees of freedom. Compute . Round your answer to at least three decimal places.
P(-1.55
• Consider a t distribution with 26 degrees of freedom. Find the value of c such that . Round your answer to at least three decimal places
P(t ≤ c)=0.01