Question: Consider the following hypothesis test. H 0 : u 10 H a : u < 10 The sample size is 120 and the population

Consider the following hypothesis test.

H0: u ≥ 10

Ha: u < 10

The sample size is 120 and the population standard deviation is assumed known with s = 5. Use a = .05.

a. If the population mean is 9, what is the probability that the sample mean leads to the conclusion do not reject H0?

b. What type of error would be made if the actual population mean is 9 and we conclude that H0: µ ≥ 10 is true?

c. What is the probability of making a type ii error if the actual population mean is 8?

Step by Step Solution

★★★★★

3.48 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

c 10 1645 5 120 925 Reject H 0 ... 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

1131-M-S-H-T(5594).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

Consider the following hypothesis test: H0: 80 H0:

Q:

Consider the following hypothesis test: H0: 50 H0:

Q:

Consider the following hypothesis test: H0: 22 H0:

Q:

Consider the following hypothesis test: H 0 : 20 H a :

Q:

Consider the following hypothesis test: H 0 : 50 H a : > 50 A sample of 55 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the...

Q:

1,1 qaiqha (d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.) test statistic S X test...

Q:

Consider the following hypothesis test: H\": p S 25 H}: g > 25 A sample of4D provided a sample mean of 26.4. The population standard deviation is E. a. Compute the value of me test statistic (to 2...

Q:

(For Questions 1 & 2) Mimi was the 5th seed in 2014 UMUC Tennis Open that took place in August. In this tournament, she won 80 of her 100 serving games. Based on UMUC Sports Network, she wins 75% of...

Q:

1 POM 212 Business Statistics Homework Assignment-3 Note: The homework is due on the day of Test-3. Chapter-7 Problems: Problem-1 Fortune publishes business related data for the 500 largest U.S....

Q:

STAT 200 QUIZ 3 Section 6361 Summer 2017 I have completed this assignment myself, working independently and not consulting anyone except the instructor. NAME_____________________________ INSTRUCTIONS...

Q:

3. Assuming Digbys current market share for its Daft product remains the same, how many units of Daft should Digby expect to sell in the primary segment for the upcoming year? Total unit demand 6,676...

Q:

State whether or not citizens of the U.S. can and/or should be able to sue terrorists living and training in our countries for wrongful death and damages to property. Support your answer.

Q:

Draw a diagram, similar to Figure 43.1, representing the foreign exchange situation of China when it kept the exchange rate fixed at a target rate of $0.121 per yuan and the market equilibrium rate...

Q:

Describe self-centered roles.

Q:

An online survey by ShareBuilder, a retirement plan provider, and Harris Interactive reported that 60% of female business owners are not confident they are saving enough for retirement (SmallBiz,...

Q:

One of the questions on a survey of 1000 adults asked if todays children will be better off than their parents (Rasmussen Reports website October 26, 2012). Representative data are shown in the file...

Q:

According to Thomson Financial, through January 25, 2006, the majority of companies reported profits had beaten estimates (BusinessWeek, February 6, 2006). A sample of 162 companies showed 104 beat...

Q:

Guano Industries is currently selling for $ 8 0 . 0 0 . It just paid its annual dividend of $ 1 . 0 0 , which have consistently grown at a rate of 3 . 1 0 % . What is the expected return of this...

Q:

on Suppose your company needs to raise $10 million to construct a new office building at an expanded manufacturing site. As CFO, you plan to raise the money by selling 30-year $1,000 par value bonds...

Q:

The accompanying data set gives the additional sleep (b) below. irs obtained by a sample of 10 patients using a certain sleep aid. Preliminary data analyses indicate that the Hinterval procedure can...