A random sample of size n=178 is taken from a population of size N= 3,718 with mean u= -80 and variance o = 190. [You may find it useful to reference the z table.) a-1. Is it necessary to apply the finite population correction factor? O Yes O No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.) Expected value -80.00 Standard error

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A random sample of size n= 178 is taken from a population of size N= 3,718 with mean u= -80 and variance o = 190. [You may find it
useful to reference the z table.]
a-1. Is it necessary to apply the finite population correction factor?
O Yes
O No
a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign.
Round "standard error" to 2 decimal places.)
Expected value
-80.00
Standard error
b. What is the probability that the sample mean is between -82 and -78? (Round "z" value to 2 decimal places, and final answer to 4
decimal places.)
Probability
0.9523
Transcribed Image Text:A random sample of size n= 178 is taken from a population of size N= 3,718 with mean u= -80 and variance o = 190. [You may find it useful to reference the z table.] a-1. Is it necessary to apply the finite population correction factor? O Yes O No a-2. Calculate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.) Expected value -80.00 Standard error b. What is the probability that the sample mean is between -82 and -78? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability 0.9523
b. What is the probability that the sample mean is between -82 and -78? (Round "z" value to 2 decimal places, and final answer to 4
decimal places.)
Probability
0.9523
c. What is the probability that the sample mean is greater than -79? (Round "z" value to 2 decimal places, and final answer to 4
decimal places.)
Probability
Transcribed Image Text:b. What is the probability that the sample mean is between -82 and -78? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability 0.9523 c. What is the probability that the sample mean is greater than -79? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.) Probability
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