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normally distributed random variable. Answer...

Customer Question 1. Assume you have a data set from a normally distributed random variable. Answer the following questions about it. a.Will the random variable be discrete, continuous, or neither? How do you know? b. Will the data be qualitative or quantitative?

How do you know? 3. A university has been tracking the percentage of alumni giving to its annual fund each year for the past 10 years. The data is given here. 14%, 13%, 15%, 21%, 19%, 24%, 25%, 28%, 25%. 31% Answer the following questions about this data.

a.what are its mean and median? b.What is the procedure for using mean and median to determine whether the data is skewed, and if so, in what direction? 5. In the diagram below, events A, B and C are shown with numbers in various regions of the graph indicating

how many sample points lie in each. For example, the number 3 in the top left of the diagram indicates that there are 3 sample points in B that are not also in either A or C. A= 9, 0, 10,12 B= 3, 1, 10, 12 C= 5, 1, 0, 10 Out of all A, B and C= 15 a. Are the

events A and B independent? b. Are the events for the intersection of A and Bc, intersection of C and Bc mutually exclusive? 7. The mean time for a racecar driver’s crew to perform a pit stop is 13.2 seconds, with a standard deviation of 0.9 seconds. To maintain

his current lead, the driver needs a pit stop in 12.5 seconds or less. Assuming this random variable is normally distributed, what is the probability of the driver getting the pit stop in a short enough time to maintain is lead? 9. A random sample from the

population of registered voters in California is to be taken and then surveyed about an upcoming election. What sample size should be used to guarantee a sampling error of 3% or less when estimating p at the 95%confidence level? 10. a. Explain the two conditions

required for a valid large-sample test of hypothesis for a mean. B. Explain the two different possible outcomes of a test of hypothesis.

How do you know? 3. A university has been tracking the percentage of alumni giving to its annual fund each year for the past 10 years. The data is given here. 14%, 13%, 15%, 21%, 19%, 24%, 25%, 28%, 25%. 31% Answer the following questions about this data.

a.what are its mean and median? b.What is the procedure for using mean and median to determine whether the data is skewed, and if so, in what direction? 5. In the diagram below, events A, B and C are shown with numbers in various regions of the graph indicating

how many sample points lie in each. For example, the number 3 in the top left of the diagram indicates that there are 3 sample points in B that are not also in either A or C. A= 9, 0, 10,12 B= 3, 1, 10, 12 C= 5, 1, 0, 10 Out of all A, B and C= 15 a. Are the

events A and B independent? b. Are the events for the intersection of A and Bc, intersection of C and Bc mutually exclusive? 7. The mean time for a racecar driver’s crew to perform a pit stop is 13.2 seconds, with a standard deviation of 0.9 seconds. To maintain

his current lead, the driver needs a pit stop in 12.5 seconds or less. Assuming this random variable is normally distributed, what is the probability of the driver getting the pit stop in a short enough time to maintain is lead? 9. A random sample from the

population of registered voters in California is to be taken and then surveyed about an upcoming election. What sample size should be used to guarantee a sampling error of 3% or less when estimating p at the 95%confidence level? 10. a. Explain the two conditions

required for a valid large-sample test of hypothesis for a mean. B. Explain the two different possible outcomes of a test of hypothesis.

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