Question: A normal population has a known mean 50 and unknown variance. (a) A random sample of n = 16 is selected from this population, and

A normal population has a known mean 50 and unknown variance.
(a) A random sample of n = 16 is selected from this population, and the sample results are x = 52 and s = 8. How unusual are these results? That is, what is the probability of observing a sample average as large as 52 (or larger) if the known, underlying mean is actually 50?
(b) A random sample of n = 30 is selected from this population, and the sample results are x = 52 and s = 8. How unusual are these results?
(c) A random sample of n = 100 is selected from this population, and the sample results are x = 52 and s = 8. How unusual are these results?
(d) Compare your answers to parts (a)–(c) and explain why they are the same or differ.

Step by Step Solution

★★★★★

3.49 Rating (172 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

50 a n 16 to 816 The Pvalue for to 1 degrees of freedom 15 is between 0... 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)

M-S-S-S-I (71).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A normal population has a known mean 50 and known variance 2 = 2. A random sample of n = 16 is selected from this population, and the sample mean is How unusual is this result?

A normal population has known mean = 50 and variance 2 = 5. What is the approximate probability that the sample variance is greater than or equal to 7.44? less than or equal to 2.56? (a) For a random...

A market researcher selects a simple random sample of n = 100 customers from its population of two million customers. After analyzing the sample, she states that she has 90% confidence that the mean...

Chapter 7 Inferential Statistics: Estimation and Hypothesis Androgen (ng/ml) at Adult Time of Injection Androgen (ng/ml) 30 Male 4.79 Minutes After Injection 18.53 7.39 13.74 7.91 7.30 0.52 10 4.85...

In each of the following studies, a single samples mean is being compared to a population with a known mean but an unknown variance. For each study, decide whether the result is significant. (Be sure...

A normal population has a known mean of 50 and unknown variance. (a) A random sample of n = 16 is selected from this popula tion, and the sample results are 52 and s = 8. How unusual are these...

show work 11 A normal population has a known mean of 50 and unknown variance. A random sample is selected from this population, and the sample results are as follows: sample mean is 52, and sample...

Let X1,X2,...,X be an independent random variables of size n from a normal population with the unknown mean it and known variance 0-2 =16. We wish to test the hypothesis Ho .' ,u =10 versus Hl :p...

QUESTION 5 Let )(1,X2,...,X be an independent random variables of size n from a normal population with the unknown mean p and known variance 0-2 =16. We wish to test the hypothesis H'J :p=10 versus...

1.The diameter of cylindrical shaft door hinge is normally distributed with a population mean of 12.8 mm and standard deviation of 3.35mm. The specifications on the shaft are 13 0.15 mm. What...

Felde Company had $150,000 of net income in 2011 when the selling price per unit was $150, the variable costs per unit were $90, and the fixed costs were $570,000. Management expects per unit data...

Explain why the pharmaceutical industry is characterized by large economies of scale.

According to Plato, the only things that are Real are: Question 2 Answer a . Forms b . Numbers c . Templates d . Natural entities

The adjusted trial balance of Ryan Financial Planners appears below. RYAN FINANCIAL PLANNERS Adjusted Trial Balance December 31, 2014 Using the information from the adjusted trial balance, you are to...

On January 1, 2017, Panther, Inc., issued securities with a total fair value of $577,000 for 100 percent of Stark Corporation's outstanding ownership shares. Stark has long supplied inventory to...

What amount does Newberry's consolidated income statement report for cost of goods sold for the year ending December 31, 2018? a. $16,000. b. $17,000. c. $18,000. d. $19,000. Newberry, Inc., whose...

What amount does Newberry's consolidated balance sheet report for this inventory at December 31, 2017? a. $16,000. b. $17,000. c. $18,000. d. $19,000. Newberry, Inc., whose reporting currency is the...

On April 1, Moloney Meat Distributors sold merchandise on account to Fronke's Franks for $3,500 on Invoice 1001, terms 2/10, n/30. The cost of merchandise sold was $2,000. Payment was received in...

A clothesline is tied between two poles, 8 m apart. The line is quite taut and has negligible sag. When a wet shirt with a mass of 0.8 kg is hung at the middle of the line, the midpoint is pulled...

Reconsider the previous exercise on Used Honda Civics. a. Determine a 95% confidence interval for the population slope coefficient and interpret what this interval represents. b. Based on your...

Two Cal Poly freshmen gathered data on a random sample of textbooks from the campus bookstore in November of 2006. Two of the variables recorded were the price of the book and the number of pages...

The data in the file HeightBMI was obtained from a survey of statistics students. The variables recorded are the students heights (in inches) and their body mass index (BMI). Consider conducting an...

Considering the following information, Original amount of the existing loan: $300,000 Term of the original mortgage: 15 years Contract interest rate on existing mortgage: 7% Current loan mortgage...

Can you answer question 3b, 3c, 3d, 3e please? ENT 401 Homework Chapter 25- Return on Investment and Payback Period 1. Computer support services currently cost ABC corporation $100,000 per year. Next...

You have collected the following data. Based on portfolio theory (CAPM), which scenario seems to be out of place? Stock Required return Standard Market Beta deviation X 0.25 0.05 0.38 O 0.16 0.41...