Question

For a normal population with µ = 40 and σ = 10 which of the following...

For a normal population with µ = 40 and σ = 10 which of the following samples has the highest probability of being obtained?​

a.

​M = 43 for a sample of n = 50
b.

​M = 42 for a sample of n = 4
c.

​M = 44 for a sample of n = 15
d.

​M = 44 for a sample of n = 4
Math   Statistics-And-Probability   
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Answer #1

The standard normal variable is defined as

For option A, the standard normal variable is

For option B, the standard normal variable is

For option C, the standard normal variable is

For option D, the standard normal variable is

Hence the sample which is least likely to be obtained is an option B. because it has the least Z value.

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