A population is an unknown mean ? and unknown standard deviation ?. Use this inf

Question

A population is an unknown mean ? and unknown standard deviation ?. Use this information to answer the questions below (a) [0.25 mark] What is your 90% confidence interval for the population mean ?? (b) [0.25 mark] Does your sample data refute another engineer's claim that ?- 53.37 Explain your answer with statistical evidence. (c) [0.5 mark] If the population is normally distributed, use your sample data to find the 95th percentile of the population Be carefu This question is easy, but you will have to think about it. The 95th percentile of the population is not connected to your 90% confidence interal for p.

Explanation / Answer

since you have not provided sample data that is Xbar , n and sd
I am going to write the formulas
a)
90% confidence interval =
(Xbar - t * s/sqrt(n) , Xbar - t * s/sqrt(n) )
where t is critical value
degree of freedom = n-1
P(T > t) = 0.05

b)
if the confidence interval does not contains 53.3 then reject the claim
that mu = 53.3

c)
95th percentile
= Xbar + 1.645 * s

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