One college class had a total of 70 students. The average score for the class on the last exam was 82.1 with a standard deviation of 5.8. A random sample of 35 students was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 84? c. What is the probability that the sample mean will be more than 83? d. What is the probability that the sample moan will be between 81.5 and 83.5? a. The standard error of the mean is. (Round to two decimal places as needed.) b. The probability that the sample mean will be less than 84 is (Round to four decimial places as needed.) c. The probability that the sample mean will be more than 83 is (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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One college class had a total of 70 students. The average score for the class on the last exam was 82.1 with a siandard deviation of 5.8. A random sample of 35 students was selected.
a. Calculate the standard error of the mean.
b. What is the probability that the sample mean will be less than 84?
c. What is the probability that the sample mean will be more than 83?
d. What is the probability that the sample mean will be between 81.5 and 83.5?
a. Tho standard error of the mean is
(Round to two decimal places as needed.)
b. The probability that the sample mean will be less than 84 is .
(Round to four decimal places as needed.)
c. The probability that the sample mean will be more than 83 is
(Round to four decimal places as needed.)
d. The probability that the sample mean will be betwoen 81.5 and 83.5 is
(Round to four decimal places as needed.)
Enter your answer in each of the answer boxes.
MacBook Pro
Transcribed Image Text:One college class had a total of 70 students. The average score for the class on the last exam was 82.1 with a siandard deviation of 5.8. A random sample of 35 students was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 84? c. What is the probability that the sample mean will be more than 83? d. What is the probability that the sample mean will be between 81.5 and 83.5? a. Tho standard error of the mean is (Round to two decimal places as needed.) b. The probability that the sample mean will be less than 84 is . (Round to four decimal places as needed.) c. The probability that the sample mean will be more than 83 is (Round to four decimal places as needed.) d. The probability that the sample mean will be betwoen 81.5 and 83.5 is (Round to four decimal places as needed.) Enter your answer in each of the answer boxes. MacBook Pro
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