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Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations.

Consider a population with 3 observations: 6, 10 and 12. You use simple random sampling without replacement to select a sample of 2 observations.

What is the standard deviation of the sample mean and what is the probability that the sample mean is 9 or larger?

standard deviation of the sample mean =... View the full answer

• The solutions provided do not match the options available on the study guide.
• hp005533
• May 01, 2018 at 10:10pm
• Let me check again, and please provide options if available
• chinnaistats
• May 01, 2018 at 10:13pm
• Standard deviation of the sample mean ( ﻿﻿σ﻿﻿ ) = sqrt(N - n/N-1) * σ﻿﻿ /﻿﻿√﻿﻿n = 1.2472
• chinnaistats
• May 01, 2018 at 10:19pm
• probability that the sample mean is 9 or larger = p(Z > (9 - 9.3333) / 1.2472)) = p(Z > 0.267) = 0.3947
• chinnaistats
• May 01, 2018 at 10:20pm

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