![Loose Leaf for Statistical Techniques in Business and Economics (Mcgraw-hill/Irwin Series in Operations and Decision Sciences)](https://www.bartleby.com/isbn_cover_images/9780077639709/9780077639709_largeCoverImage.gif)
Steele Electric Products Inc. assembles cell phones. For the last 10 days, Mark Nagy completed a mean of 39 phones per day, with a standard deviation of 2 per day. Debbie Richmond completed a mean of 38.5 phones per day, with a standard deviation of 1.5 per day. At the .05 significance level, can we conclude that there is more variation in Mark’s daily production?
![Check Mark](/static/check-mark.png)
Find whether there is more variation in Person M’s daily production.
Answer to Problem 1SR
There is no more variation in Person M’s daily production.
Explanation of Solution
Here,
The null and alternative hypotheses are stated below:
That is, the variation in Person M’s daily production is less than or equal to the variation in Person R’s production.
That is, the variation in Person M’s daily production is more than that of Person R’s production.
Step-by-step procedure to obtain the test statistic using MINITAB software:
- Choose Stat > Basic Statistics > 2 Variance.
- Under Data, choose Sample standard deviation.
- In First, enter 10 under Sample size.
- In First, enter 2 under Standard deviation
- In Second, enter 10 under Sample size.
- In Second, enter 1.5 under Standard deviation
- Check Options, enter Confidence level as 95.0.
- In Hypothesized ratio StDev 1 / StDev 2
- Choose greater than in alternative.
- Click OK in all dialog boxes.
- Output obtained using MINITAB is represented as follows:
- From the above output, the F test statistic value is 1.78 and the p-value is 0.202.
Decision Rule:
If the p-value is less than the level of significance, reject the null hypothesis. Otherwise, fail to reject the null hypothesis.
Conclusion:
The level of significance is 0.05.
From the output, the p-value is 0.202.
The p-value is greater than the level of significance 0.05. Hence, one is failed to reject the null hypothesis at the 0.05 significance level.
Therefore, there is no more variation in Person M’s daily production.
Want to see more full solutions like this?
Chapter 12 Solutions
Loose Leaf for Statistical Techniques in Business and Economics (Mcgraw-hill/Irwin Series in Operations and Decision Sciences)
- At the same restaurant as in Question 19 with the same normal distribution, what's the chance of it taking no more than 15 minutes to get service?arrow_forwardClint, obviously not in college, sleeps an average of 8 hours per night with a standard deviation of 15 minutes. What's the chance of him sleeping between 7.5 and 8.5 hours on any given night? 0-(7-0) 200 91109s and doiw $20 (8-0) mol 8520 slang $199 galbrog seam side pide & D (newid se od poyesvig as PELEO PER AFTE editiw noudab temand van Czarrow_forwardTimes to complete a statistics exam have a normal distribution with a mean of 40 minutes and standard deviation of 6 minutes. Deshawn's time comes in at the 90th percentile. What percentage of the students are still working on their exams when Deshawn leaves?arrow_forward
- Suppose that the weights of cereal boxes have a normal distribution with a mean of 20 ounces and standard deviation of half an ounce. A box that has a standard score of o weighs how much? syed by ilog ni 21arrow_forwardBob scores 80 on both his math exam (which has a mean of 70 and standard deviation of 10) and his English exam (which has a mean of 85 and standard deviation of 5). Find and interpret Bob's Z-scores on both exams to let him know which exam (if either) he did bet- ter on. Don't, however, let his parents know; let them think he's just as good at both subjects. algas 70) sering digarrow_forwardSue's math class exam has a mean of 70 with a standard deviation of 5. Her standard score is-2. What's her original exam score?arrow_forward
- Clint sleeps an average of 8 hours per night with a standard deviation of 15 minutes. What's the chance he will sleep less than 7.5 hours tonight? nut bow visarrow_forwardSuppose that your score on an exam is directly at the mean. What's your standard score?arrow_forwardOne state's annual rainfall has a normal dis- tribution with a mean of 100 inches and standard deviation of 25 inches. Suppose that corn grows best when the annual rainfall is between 100 and 150 inches. What's the chance of achieving this amount of rainfall? wved now of sociarrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
![Text book image](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)