SOLUTION: A random sample of size 25 is to be selected from a population that has a mean μ = 51 and a standard deviation σ of 10.
(b) Find the mean of this sampling distribution
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-> SOLUTION: A random sample of size 25 is to be selected from a population that has a mean μ = 51 and a standard deviation σ of 10.
(b) Find the mean of this sampling distribution
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Question 1128035: A random sample of size 25 is to be selected from a population that has a mean μ = 51 and a standard deviation σ of 10.
(b) Find the mean of this sampling distribution. (Give your answer correct to nearest whole number.)
51
Correct: Your answer is correct.
(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
2.00
Correct: Your answer is correct.
(d) What is the probability that this sample mean will be between 42 and 52? (Give your answer correct to four decimal places.)
Incorrect: Your answer is incorrect.
(e) What is the probability that the sample mean will have a value greater than 51? (Give your answer correct to four decimal places.)
(f) What is the probability that the sample mean will be within 6 units of the mean? (Give your answer correct to four decimal places.)
You can put this solution on YOUR website! this is a mean of 51 and a sd of 2
between 42 and 52 is a z=(xbar-mu)/std error
z=-9/2=-4.5
z=(1/2). Have a z between -4.5 and +0.5
probability is 0.6915
Greater than 51 has a probability of 0.5000
within 6 units is a z between -3 and +3, and that probability is 0.9973
