Question

Problem 3 (14 Marks) A manufacturer wants to compare the number of defects on the day...

Problem 3

A manufacturer wants to compare the number of defects on the day shift with the number on the evening shift. A sample of production from recent shifts showed the following defects:

Day Shift                     4          7          6          5          8          6

Evening Shift              7          9          6          10        8          11        13        8

The objective is to determine whether the mean number of defects on the night shift is greater than the mean number on the day shift at the 95% confidence level.

  1. State the null and alternate hypotheses.
  2. What is the level of significance?
  3. What is the test statistic?
  4. What is the decision rule?
  5. Use the Excel Data Analysis pack to analyze the problem. Include the output with your answer. (Note: You may calculate by hand if you prefer).
  6. What is your conclusion? Explain.
  7. Does the decision change at the 99% confidence level?
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. A recent study focused on the number of times men and women who live alone...
1. A recent study focused on the number of times men and women who live alone buy take-out dinner in a month. Assume that the distributions follow the normal probability distribution. The information is summarized below.   Statistic Men Women   Sample mean 24.71    21.94      Population standard deviation 5.53    4.71      Sample size 36    41       At the .01 significance level, is there a difference in the mean number of times men and women order take-out dinners in...
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether, on...
Clark Heter is an industrial engineer at Lyons Products. He would like to determine whether, on average, there are more units produced on the night shift (Population n) than on the day shift (Population d ). A sample of 52 day-shift workers showed the mean number of units produced is 355. The population standard deviation of day-shift production is 21 units. A sample of 58 night-shift workers showed that the mean number of units produced is 363. The population standard...
The following sample information shows the number of defective units produced on the day shift and...
The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month. Day 1 2 3 4   Day shift 11 12 13 19   Afternoon shift 9 10 14 15 At the 0.01 significance level, can we conclude there are more defects produced on the Afternoon shift? a. State the decision rule. (Round the final answer to 3 decimal places.) H0 is  (Click to select)  rejected  not rejected  if t...
A random sample of 14 evenings (6 to 9 P.M.) at the O’Sullivan household showed the...
A random sample of 14 evenings (6 to 9 P.M.) at the O’Sullivan household showed the family received an average of = 5.2 solicitation phone calls each evening. The sample standard deviation was s = 1.9. Find a 95% confidence interval for the population mean number of solicitation calls this family receives each night. a). Calculate the Margin of Error for this scenario. [6] b). Calculate the 95% confidence interval. [8] c). What are the conditions necessary for this process.
The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd > 0...
The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd > 0 The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month. Day 1 2 3 4 Day shift 10 12 13 18 Afternoon shift 8 9 12 16 At the 0.100 significance level, can we conclude there are more defects produced on the day shift? Hint: For the...
The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd > 0...
The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd > 0 The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month. Day 1 2 3 4 Day shift 10 12 15 18 Afternoon shift 8 9 12 17 At the 0.025 significance level, can we conclude there are more defects produced on the day shift? Hint: For the...
The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd > 0...
The null and alternate hypotheses are: H0 : μd ≤ 0 H1 : μd > 0 The following sample information shows the number of defective units produced on the day shift and the afternoon shift for a sample of four days last month. Day 1 2 3 4 Day shift 10 12 13 18 Afternoon shift 8 9 12 16 At the 0.100 significance level, can we conclude there are more defects produced on the day shift? Hint: For the...
A coffee manufacturer is interested in the coffee drinking habits of Regular and Decaffeinated coffee drinkers....
A coffee manufacturer is interested in the coffee drinking habits of Regular and Decaffeinated coffee drinkers. A random sample of 50 regular-coffee drinkers showed a mean of 4.35 cups per day. A sample of 40 decaffeinated-coffee drinkers showed a mean of 5.84 cups per day. Assume the population standard deviation for those drinking regular coffee is 1.2 cups per day and 1.36 cups per day for those drinking decaffeinated coffee. At the .01 significance level can we conclude that the...
Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts...
Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee? Units Produced Employee Day...
Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts...
Chapin Manufacturing Company operates 24 hours a day, five days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.01 significance level, can we conclude there is a difference in the mean production rate by shift or by employee? Units Produced Employee Day...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT