Question: Let X1, . . ., Xn be a random sample from a normal population. A particular realization resulted in a sample mean of 20 with

Let X1, . . ., Xn be a random sample from a normal population. A particular realization resulted in a sample mean of 20 with the sample standard deviation 4. Construct a 95% confidence interval for µ when:
(a) n = 5,
(b) n = 10, and
(c) n = 25. What happens to the length of the confidence interval as n changes?

Step by Step Solution

★★★★★

3.31 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b c As n increases the confidenc... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

610-M-S-O-T-S-E (876).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Let X1,..., Xn be a random sample from a population with pdf Let X(1) 1/0 if 0

Let X1,.., Xn be a random sample from a population with mean Î¼ and variance Ï2. (a) Show that the estimator is an unbiased estimator of Î¼ if (b) Among all unbiased...

Let Xi,..., Xn be a random sample from a population with mean fi and variance Ï2. Show that Thus, the normalization of X-n in the Central Limit Theorem gives random variables that have the same...

multiple choice questions 1-5, thanks Question 1 (1 point) Let 2 be a standard normal random variable. What is the probability that the absolute value of z is at least 1.66? O a) 0.1212 O b) 0.0970 O...

please help me with this statistics problem 5. Let X1, ..., Xn be a random sample from the Normal (u, 2) distribution with sample mean Xn and sample SD = Sn-1. Let Xn+1 be a future observation from...

Detailed answers needed. 1. Let Xi,.... Xio be a random sample from a normal population with mean / and standard deviation 4. Let X be the sample mean and suppose X = 48. Find a 95% confidence...

University of California, Los Angeles Department of Statistics Statistics 100B Instructor: Nicolas Christou Homework 7 EXERCISE 1 A coin is thrown independently 10 times to test that the probability...

1. Which of the following statement is INCORRECT? O If X1, . ..;Xn is a random sample from a normal distribution with population mean 0 and variance 1, then Vix S must follow a t distribution, where...

A random variable has the Pareto Distribution with parameters :30 > 0 and a > 0 if it has a continuous distribution with pdf, 0151:\" f(33|'130a0) : Slim-31 1 for m 2 330,01 > 0, and f(:c|:cg,a) = 0...

Exercise 4. (20 points) Let X1...., Xn be a random sample of size n from an infinite population and assume X1 d= a + 2Y with a > 0 unknown and Y having an exponential distibution with parameter = 2....

Identify the compound in each of the following pairs that reacts at the faster rate in an SN1 reaction: (a) Cyclopentyl iodide or 1-methylcyclopentyl iodide (b) Cyclopentyl bromide or...

Assume that you have a balance of $1000 on your MasterCard and that you make no more charges. Assume that MasterCard charges 12% APR and that each month you make only the minimum payment of 5% of the...

The elements in an array must of necessity be accessed in the order in which they appear in the array. Select one: True False

Explain how a change in segmentation policy (that is, entering new markets) may trigger the need for drastic changes in the industrial channel of distribution.

Suppose again that Z = X + Y. Find fZ if (a) fx (x) = fy(2) = x/2, if 0

Suppose that X and Y are independent and Z = X + Y . Find fZ if (a) S de-Ar, if r > 0, otherwise. fx (x) = 0, )={ue-H, if z > 0, 0, fr (x) = { otherwise. (b) S de-A, if z> 0, 0, fx(w) = { otherwise....

Suppose that R2 = X2 + Y 2. Find fR2 and fR if fx (x) -e-(e-)/20% V2701 fy (x) V2To2 Eo7/(et-a)-- 2n02

Ricky Ripovs Pawn Shop charges an interest rate of 15.75 percent per month on loans to its customers. Like all lenders, Ricky must report an APR to consumers. Requirement 1: What rate should the shop...

Lights Incorporated calculates cost for an equivalent unit of production using the weighted-average method. Data for July: Work-in-process inventory, July 1 (37,500 units): Direct materials (97%...

When a scientist conducted a genetics experiment withpeas, one sample of offspring consisted of 911 peas, with 708 of them having red flowers. If we assume, as the scientist did, that under...