Assume that the heights of men are normally distributed with a mean of 66.9 inches and a standard deviation of 2.1inches. if 36 men are randomly selected, find the probability that they have a mean height greater than 67.9 inches.
a. 0.0021
b. 0.0210
c. 0.9979
d. 0.9005

A. 0.0021

Step-by-step explanation:

Given that the heights of men are normally distributed with a mean of 66.9 inches and a standard deviation of 2.1inches.

Sample size = 36

Std dev of sample =

The sample entries X the heights are normal with mean= 66.9 inches and std deviation = 0.35 inches

Or we have

Z =

Hence the probability that they have a mean height greater than 67.9 inches

=

So option A is right answer.

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33