Sun Blush Technologies is a well established company with thousands of employees and they want to...

Sun Blush Technologies is a well established company with thousands of employees and they want to estimate the average age of their workers. A sample of 97 employees was taken. Assuming the population has a standard deviation of 7.8, we want to find a 90% confidence interval for the population mean. If the mean of the sample is 34.2, what is the confidence interval estimate? For full marks your answer should be accurate to at least two decimal places.

Solutions

Expert Solution

Solution

Given that,

= 34.2

= 7.8

n = 97

At 90% confidence level the z is ,

= 1 - 90% = 1 - 0.90 = 0.10

/ 2 = 0.10 / 2 = 0.05

Z/2 = Z0.05 = 1.645

Margin of error = E = Z/2* ( $\sqrt$ /n)

= 1.645* (7.8/ $\sqrt$ 97 )

= 1.30

At 90% confidence interval estimate of the population mean is,

- E < < + E

34.2 - 1.30 < < 34.2 + 1.30

32.90 < < 35.50

(32.90 , 35.50)

orchestra answered 1 year ago

Next > < Previous

Related Solutions

NorthCo is a well established company with thousands of employees and they want to estimate the...

NorthCo is a well established company with thousands of employees and they want to estimate the average age of their workers. A sample of 123 employees was taken. Assuming the population has a standard deviation of 8.5, we want to find a 90% confidence interval for the population mean. If the mean of the sample is 25.3, what is the confidence interval estimate? For full marks your answer should be accurate to at least two decimal places. Confidence Interval:

Cantu Excavating is a well-established company with thousands of employees and they want to estimate the...

Cantu Excavating is a well-established company with thousands of employees and they want to estimate the average age of their workers. A sample of 94 employees was taken. Assuming the population has a standard deviation of 6.2, we want to find a 90% confidence interval for the population mean. If the mean of the sample is 26.3, what is the confidence interval estimate? For full marks, your answer should be accurate to at least two decimal places. Confidence Interval: (0...

Question Runners is a well established company with thousands of employees and they want to estimate...

Question Runners is a well established company with thousands of employees and they want to estimate the average age of their workers. A sample of 10 employees was taken. Assuming the population has a standard deviation of 8, we want to find a 90% confidence interval for the population mean. If the mean of the sample is 31.5, what is the confidence interval estimate? A population standard deviation is estimated te be 11 . we want to estimate the population...

Are well-established firms or new entrants more likely to a) develop and/or b) adopt new technologies?...

Are well-established firms or new entrants more likely to a) develop and/or b) adopt new technologies? What are some reasons for your choice? PLEASE ANSWER IN WORD FORMAT ONLY. NO PICTURES. PLEASE ANSWER IN 350 WORDS. Dont copy paste from website. Thanks Subject: Management of Technological Innovation

Sun packaging is a profit-making manufacturing company established during 1998. The company is not fulfilling their...

Sun packaging is a profit-making manufacturing company established during 1998. The company is not fulfilling their responsibility towards their stakeholders. They do not provide fair wages to the employees and the company did not disclose all the financial information to their stakeholders about the company. i. Who are classified as stakeholders? ii. Discuss how each stakeholder will be affected? iii. Which principles or concepts of accounting is affected if they do not disclose the information?

Sample annual salaries? (in thousands of? dollars) for employees at a company are listed. 50 50??...

Sample annual salaries? (in thousands of? dollars) for employees at a company are listed. 50 50?? 47 47?? 59 59?? 54 54?? 28 28?? 28 28?? 50 50?? 47 47?? 59 59?? 27 27?? 54 54?? 50 50?? 45 45 ?(a) Find the sample mean and sample standard deviation. ?(b) Each employee in the sample is given a 5 5?% raise. Find the sample mean and sample standard deviation for the revised data set. ?(c) To calculate the monthly? salary,...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 43, 54,...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 43, 54, 55, 51, 33, 33, 43, 54, 55, 26, 51, 43, 46 (a) Find the sample mean and sample standard deviation. (b) Each employee in the sample is given a $3000 raise. Find the sample mean and sample standard deviation for the revised data set. (c) Each employee in the sample takes a pay cut of $2000 from their original salary. Find the sample mean...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 55 38...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 55 38 53 58 41 41 55 38 53 29 58 55 43 (a) Find the sample mean and the sample standard deviation. (b) Each employee in the sample is given a $5000 raise. Find the sample mean and the sample standard deviation for the revised data set. (c) each employee in the sample takes a pay cut of $2000 from the original salary. Find the...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 54 49...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 54 49 44 51 32 32 54 49 44 30 51 54 48 (a) Find the sample mean and the sample standard deviation. (b) Each employee in the sample is given a 6% raise. Find the sample mean and the sample standard deviation for the revised data set. (c) To calculate the monthly salary, divide each original salary by 12. Find the sample mean and the...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 40 35 ...

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 40 35 44 51 39 39 40 35 44 30 51 40 47 (a) Find the sample mean and sample standard deviation. (b) Each employee in the sample is given a $3000 raise. Find the sample mean and sample standard deviation for the revised data set. (c) Each employee in the sample takes a pay cut of $2000 from their original salary. Find the sample mean...

Subjects