Exhibit Exam Scores.

Professor Elderman has given the same multiple-choice final exam in his Principles of Microeconomics class for many years. After examining his records from the past 20 years, he finds that the scores have a mean of 76 and a standard deviation of 12.

Answer the following questions rounding your final solution to 4 decimal places. To avoid rounding errors, please do not round intermediate steps in your calculations.

1.

Refer to the Exhibit Exam Scores.

What is the probability Professor Elderman's class of 36 has a class average below 78?

2.

Refer to the Exhibit Exam Scores.

Professor Elderman offers his class of 36 a pizza party if the class average is above 80. What is the probability that he will have to deliver on his promise?

3.

Refer to the Exhibit Exam Scores. What is the probability that a class of 36 students will have an average greater than 70 on Professor Elderman's final exam? O 0.6915 O 0.9987 0.3085 O 0.0013Refer to the Exhibit Exam Scores. What is the probability that a class of 15 students will have a class average greater than 70 on Professor Elderman's final exam? O Cannot be determined O 0.0262 O 0.6915 O 0.9738Refer to the Exhibit Exam Scores. What is the probability that a randomly selected student in the class will score greater than 70 on Professor Elderman's final exam? O 0.9987 Cannot be determined O 0.6915 O 0.0262A simple random sample of 614 observations 1was taken from a large population. The sample mean and the standard deviation were determined to be 320 and lit) respectively. The sampling distribution of j is Q not possible to say because the population distribution is not known a not possible to say because the sample size it too small Q normal because the sample size is 2311] (3: normal because the population is large Taylor's Mill is a neighborhood comprised of 185 homes. According to the website Eillow, the average market value of the homes in this neighborhood is $413,311!) with a standard deviation of $3o,5{}. A random sample of 32 homes fmrn this neighborhood was selected. The sampling distribution of E is Q not possible to say because MN is too big [:3 not possible to say because the sample size it too small C. not possible to say because the population distribution is not known C" normal