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A random sample of size n = 46 is taken from a population with mean = -8.7 and standard deviation = 3. [You may find it useful to reference the z table.] a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.) Expected value Standard error b. What is the probability that the sample mean is less than -9? (Round final answer to 4 decimal places.)

A random sample of size n = 46 is taken from a population with mean = -8.7 and standard deviation = 3. [You may find it useful to reference the z table.] a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.) Expected value Standard error b. What is the probability that the sample mean is less than -9? (Round final answer to 4 decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Exercise 7-9 Algo A random sample of size n = 46 is taken from a population with mean = -8.7 and standard deviation 03. [You may find it useful to reference the z table.] a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.) Expected value Standard error b. What is the probability that the sample mean is less than -9? (Round final answer to 4 decimal places.) Probability c. What is the probability that the sample mean falls between -9 and -8? (Round final answer to 4 decimal places.) Probability
Transcribed Image Text:Exercise 7-9 Algo A random sample of size n = 46 is taken from a population with mean = -8.7 and standard deviation 03. [You may find it useful to reference the z table.] a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard error" to 4 decimal places.) Expected value Standard error b. What is the probability that the sample mean is less than -9? (Round final answer to 4 decimal places.) Probability c. What is the probability that the sample mean falls between -9 and -8? (Round final answer to 4 decimal places.) Probability
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