Question

Assume the hours spent watching tv for a population is 4 hours and the standard deviation is 1.5 hour. The population is approximately normally distributed.

What z-score corresponds to the 44th percentile? Round to 2 decimal places.

The bottom 44% of people watch at most how many hours of television? Round to 2 decimal places.

Answer 1

Given that,

mean = = 4

standard deviation = = 1.5

Using standard normal table,

P(Z < z) = 44%

= P(Z < z) = 0.44

z = -0.15 Using standard normal z table,

Using z-score formula  

x= z * +

x= -0.15 *1.5+4

x= 3.78