Question

5) Fred’s Space Flight service wants to estimate how many people would want to live permanently in a city orbiting the Earth. They want to be 90% confident that their sample percentage is within 2.5% of the true population value. In a survey of people who would want to live on Mars suggests that this percentage should be 68%. How large must their sample be?

8......

1) Find the χL2 and χR2 values for a sample of 29 scores and a confidence level of 95%.

Answer 1

5)

Given that,

= 0.68

1 - = 0.32

margin of error = E = 0.025

Z_/2 = 1.645

sample size = n = (Z _{/ 2} / E)² * * (1 - )

= (1.645 / 0.025)² * 0.68 * 0.32

= 942.1

sample size = n = 943

8)

Given that,

n = 29

df = 28

²_L = ²_/2,df = 1.746

²_R = ²_{1 - /2,df} = 15.308