Hypothesis Testing - A Cable Manufacturer - Case Study - Management Assignment Help

Assignment Task:

Task:

1. (Note, parts a. and b. below are not the same)
a. A cable manufacturer claims that his product has a mean breaking strength of 1850 kg with a standard deviation of 100 kg. You are hired to test this claim, so you select a random sample of 15 of his cables and compute the mean breaking strength of the sample to be 1778 kg. Test the manufacturer’s claim at a significance level of ? = .01.

b. A cable manufacturer claims that his product has a mean breaking strength of 1850 kg. You are hired to test this claim, so you select a random sample of 15 of his cables and compute the mean breaking strength of the sample to be 1778 kg with a standard deviation of 100 kg. Test the manufacturer’s claim (? = .01).

c. What is the difference between the results in a and the results in b? Explain why the results are different.

2. A major corporation noted that last year its employees averaged a mean of 5.8 absences during the winter. This year, the company offered flu shots to all employees. For the 50 people who got the shots, the average number of absences this winter was 3.6, with a standard deviation of 2.8 days. Did the flu shot have an impact on absences? (Test at a significance level of .05.)

3. The average score of all Calgary students on a writing test administered in Grade 6 is 200. In one class of 36 students, the average was 204 with a standard deviation of 18.

a. Can you conclude that this class is significantly different from average at α=.01?
b. If the class had been given special training that would lead you to predict that they would do better than average, what would change in your hypothesis testing? What would be your conclusion?
c. What effect would increasing sample size have on your results?

4. The committee for the ski jumping at the next Olympics has decided to examine data in order to determine the length of the landing platform. A random selection of 25 ski jumpers is tested and it is found that their mean jumping distance is 125 meters with a standard deviation of 15 meters. Calculate the 99% confidence interval and interpret what that means. (I expect this is not the normal way to build a ski jump!)

5. An office manager hires you to determine the amount of time it takes to handle customer complaints in his company. He surveys 22 customers and finds that the average time was 16.7 minutes with a standard deviation of 4.8 minutes. Calculate a 95% and a 99% confidence interval for the time to handle complaints. Explain to the office manager what these statistics tell him.

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