A random sample of size n = 62 is taken from a population with mean = -11.8 and standard deviation σ 4. [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 -12? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability c. What is the probability that the sample mean falls between -12 and -11? (Do not round intermediate calculations. Round "" value to 2 decimal places and final answer to 4 decimal places.) Probability

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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A random sample of size n = 62 is taken from a population with mean = -11.8 and standard deviation σ 4. [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 -12? (Round "z" value to 2 decimal places, and final answer to 4 decimal
places.)
Probability
c. What is the probability that the sample mean falls between -12 and -11? (Do not round intermediate calculations. Round "" value
to 2 decimal places and final answer to 4 decimal places.)
Probability
Transcribed Image Text:A random sample of size n = 62 is taken from a population with mean = -11.8 and standard deviation σ 4. [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 -12? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability c. What is the probability that the sample mean falls between -12 and -11? (Do not round intermediate calculations. Round "" value to 2 decimal places and final answer to 4 decimal places.) Probability
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