Question

NO LINKS!! Please help me with this probability question Part 3j​

Answer 1

b) 64 to 76 inches.

Explanation:

In a normal distribution, 95% of the population is within 2 standard deviations of the mean.

Given values:

• 
  `\textsf{Mean}\; \mu=70\; \sf inches`

• 
  `\textsf{Standard deviation}\; \sigma=3\; \sf inches`

Given that the mean height is 70 inches and the standard deviation is 3 inches:

`\implies \mu -2 \sigma = 70-2(3)=64`

`\implies \mu+2 \sigma = 70+2(3)=76`

Therefore, an appropriate height range for 95% of all people in the sample would be:

• 64 to 76 inches.