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 *χ**L**2* *and*
*χ**R**2* 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

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