The SAT scores have an average of 1,200 with a standard deviation of 200. A sample of 64 scores is selected. (Round your answers to four decimal places.) (a) What is the probability that the sample mean will be larger than 1,222? (b) What is the probability that the sample mean will be less than 1,231? (c) What is the probability that the sample mean will be between 1,200 and 1,219? (d) What is the probability that the sample mean will be greater than 1,200?

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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You may need to use the appropriate appendix table or technology to answer this question.
The SAT scores have an average of 1,200 with a standard deviation of 200. A sample of 64 scores is selected. (Round your answers to four decimal places.)
(a) What is the probability that the sample mean will be larger than 1,222?
(b) What is the probability that the sample mean will be less than 1,231?
(c) What is the probability that the sample mean will be between 1,200 and 1,219?
(d) What is the probability that the sample mean will be greater than 1,200?
Transcribed Image Text:You may need to use the appropriate appendix table or technology to answer this question. The SAT scores have an average of 1,200 with a standard deviation of 200. A sample of 64 scores is selected. (Round your answers to four decimal places.) (a) What is the probability that the sample mean will be larger than 1,222? (b) What is the probability that the sample mean will be less than 1,231? (c) What is the probability that the sample mean will be between 1,200 and 1,219? (d) What is the probability that the sample mean will be greater than 1,200?
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