Question: It is desired to test H0: = 75 against Ha: < 75 using = .10. The population in question is uniformly distributed

It is desired to test H0: μ = 75 against Ha: μ < 75 using α = .10. The population in question is uniformly distributed with standard deviation 15. A random sample of size 49 will be drawn from the population.

a. Describe the (approximate) sampling distribution of x̅ under the assumption that H0 is true.

b. Describe the (approximate) sampling distribution of x̅ under the assumption that the population mean is 70.

c. If μ were really equal to 70, what is the probability that the hypothesis test would lead the investigator to commit a Type II error?

d. What is the power of this test for detecting the alternative Ha: μ = 70?

Step by Step Solution

★★★★★

3.41 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The sampling distribution of x will be approximately normal ... 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)

1346-M-S-S-D(5166).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Specifications call for the wall thickness of two-liter polycarbonate bottles to average 4.0 mils. A quality control engineer samples 7 two-liter polycarbonate bottles from a large batch and measures...

Suppose that X1, . . . , Xn form a random sample from the Poisson distribution with unknown mean . Let 0 and 1 be specified values such that 1 > 0 > 0, and suppose that it is desired to test the...

Consider again the conditions of Exercise 3, including the observations in the random sample of 128 families, but suppose now that it is desired to test the composite null hypothesis H0 that the...

1 We expect that as the number of whiskey drinks consumed increases the amount of time to tie your shoelaces increases. If we execute a regression to predict the average number of seconds to tie the...

15. It is desired to test Ho: =50 against Ha:

The speeds of vehicles traveling on a highway are normally distributed with an unknown population mean and standard deviation. A random sample of 13 vehicles is taken and results in a sample mean of...

First a confidence interval is constructed without using the finite population correction factor. Then, for the same identical data, a confidence interval is constructed using the finite population...

1 1 pts A simple random sample of 28 observations was taken from a large population. The sample mean equaled 50. Fifty is a _____. Group of answer choices point estimator population parameter point...

SAMPLING MEAN: DEFINITION: The term sampling mean is a statistical term used to describe the properties of statistical distributions. In statistical terms, the sample mean from a group of...

Can someone please help me with some statistics questions i am very confused. please help answer all questions i would truly appreciate it. let me know if you have any questions. thank you ............

The WorldCom fraud has been described in this book. A brief summary follows: In 2005, Bernard Ebbers, the former chief executive of WorldCom, was con victed of conspiracy and securities fraud and...

On February 1, Woodpecker Company purchased inventory on account with a cost of $20,000. The credit terms were 3/10, net 30. On February 2, Neighbor returned 30% of the inventory. Woodpecker uses the...

12.5 defne budget.

16.1 Suppose there are 8,000 hours in a year (actually there are 8,760) and that an individual has a potential market wage of $5 per hour. a. What is the individual's full income? If he or she...

The percent frequency distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers are as follows. The scores range from a low of 1 (very...

The two largest cable providers are Comcast Cable Communications, with 21.5 million subscribers, and Time Warner Cable, with 11.0 million subscribers (The New York Times Almanac, 2007). Suppose that...

The number of students taking the Scholastic Aptitude Test (SAT) has risen to an all-time high of more than 1.5 million (College Board, August 26, 2008). Students are allowed to repeat the test in...

If you wanted to see how much traffic has passed through your network interface card, which command would you use? netstat - r , netstat - s , netstat - t , netstat - a

The City of Boxborough is preparing its government-wide financial statements from its fund financial statements.\ \ The City identifies Capital Assets with a book value of $800,000 (all numbers in...

Which of the following statements is not true when editing links? ( Select the correct answer ) A link specifies the file name and location at the time the formula was created. You cannot break a...