Log in
Statistics
1
answer
0
watching
30
views

Suppose that we will randomly select a sample of 67 measurements from a population having a mean equal to 22 and a standard deviation equal to 6. (a) Describe the shape of the sampling distribution of the sample mean . Do we need to make any assumptions about the shape of the population? Why or why not? Normally distribu' 4;no , because the sample size is large (b) Find the mean and the standard deviation of the sampling distribution of the sample mean x. (Round your oz answer to 1 decimal place.) (c) Calculate the probability that we will obtain a sample mean greater than 23; that is, calculate Plx > 23). Hint: Find the z value corresponding to 23 by using and o because we wish to calculate a probability about X. (Round probability to four decimals) Plz > 23) O (d) Calculate the probability that we will obtain a sample mean less than 21.890; that is, calculate P1 x < 21.890) (Round probability to four decimals) Pli<21.890)

Watch
1
answer
0
watching
30
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Get unlimited access
Already have an account? Log in
Share

Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

6. As the test statistic becomes larger, the p-value

(a) gets smaller

(b) becomes larger 

(c) stays the same, since the sample size has not been changed

(d) becomes negative.

 

7. To describe the sampling distribution of the sample proportion, we use

(a) The sample proportion 

(b) The population proportion 

(c) The population mean

(d) The population mean

 

8. When small samples are used to estimate a population mean, in cases where the population standard deviation is unknown and the original distribution is normal:

(a) There always will be a large amount of sampling error.

(b) the t-distribution must be used to obtain the critical value.

(c) the resulting margin of error for a confidence interval estimate will tend to be fairly small.

(d) the z distribution must be used to obtain the critical value.

 

 

Vacation Hours Earned earned by Blue-Collar and Service Employees. The US Bureau of Labor Statistics (BLS) reported that the mean annual number of hours of vacation time earned by blue-collar and service employees who work for small private establishments and have at least 10 years of service is 100. Assume that for this population the standard deviation for the annual number of hours earned is 48. Suppose the BLS would like to select a sample of 15,000 individuals from this population for a follow-up study.

a. Show the sampling distribution of the sample mean(  ) of 15, 000 individuals from this population.

b. What is the probability that a simple random sample of 15,000 individuals from this population will provide a sample mean that is within 1 hour of the population mean?

c. Suppose the mean annual number of hours of vacation time earned for a sample of 15,000 blue-collar and service employees who work for small private establishments have at least 10 years of service differs from the population mean ( ) by more than an hour. Considering your results in part b) how would you interpret this result?

Business week conducted a survey of graduates from 30 top MBAprograms (Business Week, September September 22, 2003). Thesurvey found that the average annual salary for male and femalegraduates 10 years after graduation was $168,000 and $17,000respectively. Assume the population standard deviation forthe male graduates is $40,000, and for the female graduates it is$25,000.
a. What is the probability that a simple random sampleof 100 male graduates will provide a sample mean more than$4,000 below the population mean (to 4 decimals).

Weekly leaderboard

Home
Homework Help 3,900,000
Statistics 10,000
Start filling in the gaps now
Log in