Question

Suppose x has a normal distribution with mean μ = 36 and standard deviation σ = 5.

Describe the distribution of x values for sample size n = 4. (Round σ_x to two decimal places.)

μx	=
σx	=

Describe the distribution of x values for sample size n = 16. (Round σ_x to two decimal places.)

μx	=
σx	=

Describe the distribution of x values for sample size n = 100. (Round σ_x to two decimal places.)

μx	=
σx	=

Answer 1

Solution :

Given that,

mean = = 36

standard deviation = = 5

a) n = 4

=   = 36

= / n = 5 / 4 = 2.5

mean = = 36

standard deviation = = 5

b) n = 16

=   = 36

= / n = 5 / 16 = 1.25

mean = = 36

standard deviation = = 5

c) n = 100

=   = 36

= / n = 5 / 100 = 0.5