Question

In: Statistics and Probability

In a certain factory they conducted a study to compare the mean productivity of the day...

In a certain factory they conducted a study to compare the mean productivity of the day shift workers with the mean productivity of the night shift workers. (The productivity is measured in units.)
A sample of 42 day shift workers gave a sample mean of 68, and a sample standard deviation of 15.
A sample of 33 night shift workers gave a sample mean of 63, and a sample standard deviation of 8.

(a) Obtain the 95% confidence interval for the difference between the means.

The 95% confidence interval is:

(b) At significance level 0.04, can we conclude that the two shifts really differ in terms of average productivity?

The test statistics =
Critical value =
Conclusion by critical value:
P-value =
The conclusion is (definite / borderline)

Solutions

Expert Solution


Related Solutions

In a certain factory they conducted a study to compare the mean productivity of the day...
In a certain factory they conducted a study to compare the mean productivity of the day shift workers with the mean productivity of the night shift workers. (The productivity is measured in units.) A sample of 42 day shift workers gave a sample mean of 68, and a sample standard deviation of 15. A sample of 33 night shift workers gave a sample mean of 63, and a sample standard deviation of 8. (a) Obtain the 95% confidence interval for...
A study is conducted to compare salaries of managers of a certain industry employed in two...
A study is conducted to compare salaries of managers of a certain industry employed in two areas of the country, the eastern and northern regions. Independent ran dom samples of 300 plant managers are selected for each of the two regions. These managers were asked for their annual salaries. The results showed an average salary x1 = $102300 and standard deviation s1 = $5700 for the eastern region and an average salary x2 = $98500 and standard deviation s2 =...
A study is conducted to compare mean cholesterol levels for individuals following a low-carbohydrate diet for...
A study is conducted to compare mean cholesterol levels for individuals following a low-carbohydrate diet for at least 6 months to individuals following a conventional (low-fat, low-calorie) diet for at least 6 months. The data are summarized here: Diet Program Sample Size Mean Cholesterol Standard Deviation Cholesterol Low carbohydrate 50 225.4 24.5 Conventional 75 203.8 21.6 Using the five-step approach to hypothesis testing, test if there is a significant difference in mean cholesterol levels between the diet programs using a...
Assume that the machines' productivity of a factory has a normal distribution. The mean is 1600...
Assume that the machines' productivity of a factory has a normal distribution. The mean is 1600 units and the standard deviation is 150 units. The factory is testing four machines' performance. What is the probability that at least one of them reach the productivity of 1300? And what is the probability that none of them reach 1450? Please provide clear explanation, thank you!
36. A study was conducted to see if music has an effect on productivity of workers....
36. A study was conducted to see if music has an effect on productivity of workers. The music was turned on during the working hours of 32 randomly selected workers. The workers’ productivity level averaged 82 with a standard deviation of 25. On a different day the music was turned off and there were 50 randomly selected workers. Their productivity level averaged 58 with a standard deviation of 15. What is 90% confidence interval of the difference between the average...
A study was conducted to investigate whether compliance training affected the productivity of the company’s administrative...
A study was conducted to investigate whether compliance training affected the productivity of the company’s administrative staff. A random sample of 30 administrative staff underwent compliance training. Download and open the Accounts.xlsx file in Excel. This file contains the number of accounts processed by each staff member both in the week before compliance training and again in the week after compliance training. Use Excel to carry out a suitable test to address the following research question: Is there a difference...
A study of fill volumes is conducted at a food canning factory to determine the level...
A study of fill volumes is conducted at a food canning factory to determine the level of consistency between the two filling lines, A and B. A random sample of 16 cans taken from line A has a sample average of 8.005 ounces and a sample standard deviation of 0.011 ounces. A similar sample of 11 cans is obtained from line B with a sample average of 7.997 ounces and a sample standard deviation of 0.007 ounces. The quality control...
A study of the population average income in a certain area was conducted. A sample of...
A study of the population average income in a certain area was conducted. A sample of 25 households was selected at random for a poll. The sample based average annual income was found as (X-bar) = $53,600, with the sample standard deviation found as (S = $12,000). Assume that individual records are normally distributed with an unknown population standard deviation. Estimate the population average income with the 99% confidence. Answer all questions below. Critical Value = Margin of Error =...
(9) A study was conducted on the amount of converted sugar in a certain process at...
(9) A study was conducted on the amount of converted sugar in a certain process at various temperatures. The data was as follows Temperature (x) Converted Sugar (y) 45 8.1 50 7.8 55 8.6 60 9.8 65 9.6 70 8.9 75 10.1 80 9.9 85 10.4 90 10.6 (a) Estimate the linear regression line? (b) What is the predicted converted sugar for 95. (c) What is the coefficient of determination? Is this a strong fit?
An experimental study was conducted in order to compare the effectiveness of two drugs in the...
An experimental study was conducted in order to compare the effectiveness of two drugs in the treatment of hypertension. 60 patients with similar hypertension conditions were included in the study. Researchers randomly assigned 30 hypertensive patients to each treatment group. The patients in group one received drug 1 while those in group two received drug 2. After the treatment, the patients in group one had an average blood pressure of 131.80 with a standard deviation of 2.50, and the patients...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT