The Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars, and every year, a counci
1 answer:
Answer:
Step-by-step explanation:
Given that the Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars
every year, a council of 99 co-equal leaders is randomly selected from the population.
Since these are members, order of selection of not important
So combinations woul dbe used here.
Total number of persons avaiiable = 100,000
No of persons to be selected = 999
No of ways this can be done =
999 out of 100,000
=
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Answer:
a) The 95% of confidence intervals for the average spending
(23.872 , 32.128)
b) The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.
The null hypothesis is accepted
A survey of 25 young professionals statistically that the population mean is less than $30
<u>Step-by-step explanation</u>:
Step:-(i)
Given data a survey of 25 young professionals fond that they spend an average of $28 when dining out, with a standard deviation of $10
The sample size 'n' = 25
The mean of the sample x⁻ = $28
The standard deviation of the sample (S) = $10.
Level of significance ∝=0.05
The degrees of freedom γ =n-1 =25-1=24
tabulated value t₀.₀₅ = 2.064
<u>Step 2:-</u>
The 95% of confidence intervals for the average spending
(
( 28 - 4.128 , 28 + 4.128)
(23.872 , 32.128)
a) The 95% of confidence intervals for the average spending
(23.872 , 32.128)
b)
Null hypothesis: H₀:μ<30
Alternative Hypothesis: H₁: μ>30
level of significance ∝ = 0.05
The test statistic
t = |-1|
The calculated value t= 1< 1.711( single tailed test) at 0.05 level of significance with 24 degrees of freedom.
The null hypothesis is accepted
<u>Conclusion</u>:-
The null hypothesis is accepted
A survey of 25 young professionals statistically that the population mean is less than $30
