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
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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help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a8d504e-85bd-4c99-ab96-e6a5ed7339f3%2F1cdc6903-47d8-4678-9403-201b699118dc%2Faffbrrn_processed.jpeg&w=3840&q=75)
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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