2. The weights (in pounds) of three adult males are

160, 215, and 195. The standard error of the mean of

these three weights is

(a) 190. (b) 27.84. (c) 22.73. (d) 16.07. (e) 13.13.

Respuesta :

Answer:

(d) 16.07

Step-by-step explanation:

Step 1

We find the mean

Formula = Sum of Terms/Number of Terms

= 160+ 215 + 195/3

= 570/3

= 190

Step 2

We find the Standard Deviation

We use the formula for Sample Standard deviation =

√Mean - x/n - 1

n = 3

= √[(160 - 190)² + (215 - 190)² + (195 - 190)²]/3 - 1

= √1550/3

= √775

= 27.83882181

Approximately = 27.84

Step 3

We find the Standard Error of the mean

The formula = Standard deviation/√n

= 27.84/√3

= 16.07

Option d is correct

Based on the information given, the standard error of the mean of these three weights is 16.07.

The mean of the numbers will be:

= (160 + 215 + 195)/3

= 190

The standard deviation will be approximately 27.84.

Lastly, the standard error will be:

= 27.84 × ✓3

= 16.07

Learn more about mean on:

https://brainly.com/question/14532771

ACCESS MORE
EDU ACCESS