Question

In: Statistics and Probability

A random sample is selected from a population with a μ = 145 and a standard...

A random sample is selected from a population with a μ = 145 and a standard deviation of σ = 18. Determine the mean and standard deviation of the sampling distribution (round to 3 decimal places).

a. n = 14

Mean:

Standard deviation:

b. n = 26

Mean:

Standard deviation:

c. n = 37

Mean:

Standard deviation:

d. n = 56

Mean:

Standard deviation:

e. n = 115

Mean:

Standard deviation:

Solutions

Expert Solution

Solution :

Given that,

mean = = 145

standard deviation = = 18

a)

n = 14

mean :

= = 145

standard deviation :

= / n = 18 / 14 = 4.811

b)

n = 26

mean :

= = 145

standard deviation :

= / n = 18 / 26 = 3.530

c)

n = 37

mean :

= = 145

standard deviation :

= / n = 18 / 37 = 2.959

d)

n = 56

mean :

= = 145

standard deviation :

= / n = 18 / 56 = 2.405

e)

n = 115

mean :

= = 145

standard deviation :

= / n = 18 / 115 = 1.679

orchestra answered 2 years ago
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