41 Word Problems The number of widgets produced by 9 employe

41. Word Problems: The number of widgets produced by 9 employees in an eight hour shift is recorded as: 135, 120, 116, 119, 121, 125, 135, 131, 123

What is the mode of the number of widgets produced presented above? (Points : 3)       
      

Question 42. 42. Word Problems: The number of widgets produced by 9 employees in an eight hour shift is recorded as: 135, 120, 116, 119, 121, 125, 135, 131, 123

What is the median of the number of widgets produced presented above? (Points : 3)

Worker A

Worker B

30

25

6

4

Which worker appears to be more consistent in the time he requires to complete the job? Explain.

Worker A

Worker B

30

25

6

4

Which worker appears to be faster in completing the job? Explain.

Question 45. 45. Critical Thinking: Explain the differences between longitudinal and cross sectional business research studies.
(Points : 10)

Question 46. 46. Critical Thinking: Suppose the manager of a plant is concerned with the total number of man-hours lost due to accidents for the past 12 months. The company statistician has reported the mean number of man-hours lost per month but did not keep a record of the total sum. Should the manager order the study repeated to obtain the desired information? Explain your answer clearly. (Points : 10)

Question 47. 47. Critical Thinking: Explain why histograms and frequency polygons are used in business statistics. (Points : 10)

Question 48. 48. Critical Thinking: Which two types of probability sampling are best suited for business research and statistical data analysis, and why? (Points : 10)

Question 49. 49. Critical Thinking: What is the difference between a null hypothesis and an alternate hypothesis? (Points : 10)

Question 50. 50. Critical Thinking: Explain what is meant by the critical value of a statistical value. (Points : 10)

Solution

he number of widgets produced by 9 employees in an eight hour shift is recorded below. Find the mean number of widgets produced.

135, 120, 116, 119, 121, 125, 135, 131, 123

MEAN = 125

What is the range of widgets produced given in problem presented above?

RANGE = 19

What is the mode of the number of widgets produced presented above?

MODE = 135

What is the median of the number of widgets produced presented above?

MEDIAN = 123



What is the mode of the number of widgets produced presented above?

MODE = 135

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Question 43.

Question 44

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Question 45. 45. Critical Thinking: Explain the differences between longitudinal and cross sectional business research studie

longitudinal study is a study in which you take a group of people and study them over time

Pros: You can accumulate a LOT of in-depth data about the group\'s progress over time, which can be more accurate than a simple one-time study.

Cons: VERY time-consuming, sample usually has to be very small.

A cross-sectional study, on the other hand, is a study in which you take many people from different age groups and perform research with them.

Pros: Much faster than a longitudinal study, and can be done with a much larger sample size.

Cons: Not as much in-depth data can be obtained from each individual, different experiences from different people in the group may lead to conflicting data.

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What is the difference between a null hypothesis and an alternate hypothesis?

The null hypothesis reflects that there will be no observed effect for our experiment. In a mathematical formulation of the null hypothesis there will typically be an equal sign. This hypothesis is denoted by H0. The null hypothesis is what we are attempting to overturn by our hypothesis test. We hope to obtain a small enough p-value that we are justified in rejecting the null hypothesis. If the null hypothesis is not rejected, then we must be careful to say what this means. The thinking on this is similar to a legal verdict. Just because a person has been declared \"not guilty\", it does not mean that he is innocent. In the same way, just because a null hypothesis is not rejected does not mean that the statement is true.

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