Dbesi hu nate Name of v3: A. Using the sample mean and standard deviation from L

Question

Dbesi hu nate Name of v3: A. Using the sample mean and standard deviation from Lab 3, form a 95% confidence interval for the mean of your population. 40 XTE,E-216 h (1.YG. )??- B. Use the method discussed in class to write the interval in statement form. It is not sufficient to write an algebraic inequality. You must write a statement of the form: "I am 95% confident that the actual mean age of U.S. Senators is between 54.2 and 60.1." mcon Dethe popu)tiis between4 anel 8.400 c. Repeat A and B for a 99% confidence interval. _X 7.4 1.3D3 8.213 12.575) 3a = i.303 7.4] Ly j 1.303 6.101 the actuol mear of the populotion am ad % confi cknt that oil fall between .102 onel 713.

Explanation / Answer

part 2

a) lower confidence interval and sigma smaller produce large sample size n.

b) we have from part 1

xbar = 7.41, n =40, S.D = 3.2, z.alpha = qnorm(0.05,lower.tail = FALSE) = 1.644854

z.alpha = qnorm(0.05,lower.tail = FALSE)
sd = 3.2; n =40
E = z.alpha*sd/sqrt(40) = 0.8322374

now take E =0.5

n = (z.alpha*sd/E)^2 = 110.8191

c)sd = 3.2; n =89
E = z.alpha*sd/sqrt(n)
E = 0.5579332

in statement form for pat b above is "with a sample size of at least 111, i will be 95% confident that my sample mean will be withing 1 year of the true mean age of the us senators."

Note: I dont know the context of the problem so please make modificaiton as u r convenient way !.

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