Question

A random sample is selected from a population with mean μ = 102 and standard deviation σ = 10. Determine the mean and standard deviation of the x sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.)

(a) n = 11
μ =  
σ =  

(b) n = 14
μ =  
σ =  

(c) n = 37
μ =  
σ =  

(d) n = 65
μ =  
σ =  

(f) n = 130
μ =  
σ =  

(e) n = 520
μ =  
σ =

Answer 1

Solution :

Given that,

mean = = 102

standard deviation = = 10

a ) n = 11

= 102

₌ / n = 10 11 = 3.015

b ) n = 14

= 102

₌ / n = 10 14 = 2.673

c ) n = 37

= 102

₌ / n = 10 37 = 1.644

d ) n = 65

= 102

₌ / n = 10 65 = 1.240

f ) n = 130

= 102

₌ / n = 10 130 =0.877

e ) n = 520

= 102

₌ / n = 10 520 = 0.438