Question: Consider the test H0: = 70 versus Ha: > 70 using a large sample of size n = 400. Assume s = 20.

Consider the test H0: μ = 70 versus Ha: μ > 70 using a large sample of size n = 400. Assume s = 20.

a. Describe the sampling distribution of x̅.

b. Find the value of the test statistic if ̅ = 72.5.

c. Refer to part b. Find the p-value of the test.

d. Find the rejection region of the test for α = .01.

e. Refer to parts c and d. Use the p-value approach to make the appropriate conclusion.

f. Repeat part e, but use the rejection region approach.

g. Do the conclusions, parts e and f, agree?

Step by Step Solution

★★★★★

3.41 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a By the Central Limit Theorem the sampling distribution of x is approx... View full answer

blur-text-image
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)

Word file Icon

1346-M-S-S-D(5102).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Consider the test H0: = 35 versus Ha: > 35 for a population that is normally distributed. (a) A random sample of 18 observations taken from this population produced a sample mean of 40 and a sample...

Q:

Consider the data from Exercise 11-6 on y = steam usage and x = average temperature. (a) Test for significance of regression using a = 0.01. What is the P-value for this test? State the conclusions...

Q:

Consider the NFL data introduced in Exercise 11-4. (a) Estimate the correlation coefficient between the number of games won and the yards rushing by the opponents. (b) Test the hypothesis H0: p = 0...

Q:

Consider the test Ho: =70 versus Ha: 70 using a large sample of n = 400. Assume the standard deviation is 20. Find the rejection region if alpha = .01

Q:

You have heard that in sports like boxing there might be some competitive advantage to those wearing red uniforms. You want to test this with your new favorite sport of chess-boxing. You randomly...

Q:

Hi, can someone help me with these questions? Open Geogebra and choose "Probability Calculator.\" You can also get to this through the \"\\ew" menu. This opens in a new window (the online/app version...

Q:

STAT 1220 Common Final Exam SPRING 2016 May 5, 2016 PLEASE PRINT THE FOLLOWING INFORMATION: Name: Instructor: Student ID #: Section/Time: THIS EXAM HAS TWO PARTS. PART I. Part I consists of 30...

Q:

Business Statistics assignment 3 Question1 For a parameter whose value is unknown, belief or claim for that parameter is classified as_________. Select one: a.parameter claim testing b.hypothesis...

Q:

A particular type of 4th grade Achievement Test provides overall scores that are normally distributed with a mean of 50 and a standard deviation of 10. [4 points] What is the probability that a...

Q:

STAT*2060DE Questions for Assignment #4 Please input your responses into the D2L quiz \"Assignment #4\" before the deadline. As always, give your responses to at least 3 decimal places where...

Q:

Consider the market for plane tickets to Hawaii. A bad winter in the mainland United States increases demand for tropical vacations, shifting the demand curve to the right. The supply curve stays...

Q:

In the book Tools and Methods for the Improvement of Quality, Gitlow, Gitlow. Oppenheim. and Oppenheim discuss a resort hotel's efforts to improve service by reducing variation in the time it takes...

Q:

The average height of females in the freshman class of a certain college has historically been 162.5 centimeters with a standard deviation of 6.9 centimeters. Is there reason to believe that there...

Q:

1.Assume that the demand for flight attendants increases significantly as a result of an increase in demand for air travel. Explain what will happen to unemployment using both classical and Keynesian...

Q:

In the study of Exercise 15.70, information on the cellular phone system was also shown to MBA students. Part of the analysis of variance table for their quality assessments is shown here. Complete...

Q:

Having carried out the study of Exercise 15.66, the investigator decided to take a second independent random sample of one student from each of the nine income-SAT score categories. The grade point...

Q:

An experiment was carried out to test the effects on yields of five varieties of corn and five types of fertilizer. For each variety-fertilizer combination, six plots were used and the yields...

Q:

If an investor: gets ownership of a company; gets a claim on the assets of the company; gets a residual claim on the company's cash flows, the this is: Group of answer choices A bond holder A...

Q:

Which of the following orders of data pyramid is correct? Group of answer choices ( 1 ) Knowledge ( 2 ) information ( 3 ) Data ( 4 ) Intellectual Capital ( 1 ) Information ( 2 ) Data ( 3 ) Knowledge...

Q:

Q.1.1.1 The difference in weight between a father and his oldest child is an example of: (1) Quantitative, continuous data (2) Qualitative, discrete data (3) Quantitative, discrete data (4)...