Last year at this time, your firmâs incoming telephone calls followed the percentages shown in Table 17.4.2.
a. Find the percentages for the first day of this month and compare them to last yearâs percentages for this month.
b. Find the expected number of calls of each type for the first day of this month, assuming the population percentages are given by last yearâs total for the month.
c. Find the chi-squared statistic and the number of degrees of freedom.
d. Report the results of the chi-squared test at the 5% level.
e. Summarize what the chi-squared test has told you about any change in the pattern of calls compared to last year at this time.
Table 17.4.2:
TABLE 17.4.2 Incoming Calls Count (First Percent of Total Day of the Month) (This Month Last Туре Year) Reservation 53 33.2 Information 54 38.1 Service 28 12.5 request Cancellation 18 9.7 Other 7 6.5 Total 160 100.0
> a. What information is displayed in a Pareto diagram? b. What makes the Pareto diagram useful as a management tool?
> a. What do we mean when we say that a process is in a state of statistical control? b. What should you do when a process is not in control? c. What should you do when a process appears to be in control?
> a. What is an assignable cause of variation? b. What is a random cause of variation?
> a. What kind of data set is appropriate for the sign test for the differences? b. What hypotheses are being tested? c. What assumption is required?
> Why should you monitor a process? Why not just inspect the results and throw away the defective ones?
> a. What is a process? b. What is the relationship between a process and its sub processes? c. What is statistical process control?
> a. What is the purpose of the percentage chart? b. How large should the sample size be? c. How would you find the center line if you had no standard? d. How would you find the centerline if you did have a standard? e. How would you find the control limit
> Stress levels were recorded during a true answer and a false answer given by each of six people in a study of lie-detecting equipment, based on the idea that the stress involved in telling a lie can be measured. The results are shown in Table 16.4.4. a.
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> a. What is the purpose of the
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> a. For the chi-squared test for equality of percentages, what do you conclude if the chi-squared statistic is larger than the value in the chi-squared table? b. What do you conclude if the chi-squared statistic is smaller than the value in the chi-square
> No matter how closely the production process is monitored, some chips will work faster than others and be worth more in the marketplace. The goal is to make this number as high as possible, and improvements are being implemented continually. Consider the
> a. Can the sign test for the differences be used with quantitative data? Why or why not? b. Can the sign test for the differences be used with ordinal data? Why or why not? c. Can the sign test for the differences be used with nominal data? Why or why no
> Describe the similarities and differences between the sign test and the t test.
> a. For what kind of data set is the chi-squared test for equality of percentages appropriate? b. What are the reference values for this test? c. What are the hypotheses? d. How are the expected counts obtained? What do they represent? e. What assumptions
> a. Can the sign test be used with quantitative data? Why or why not? b. Can the sign test be used with ordinal data? Why or why not? c. Can the sign test be used with nominal data? Why or why not?
> a. For a continuous population, which measure of typical value is the sign test concerned with? b. What probability distribution does this test rely on? c. Suppose the population is discrete and an appreciable fraction of the population is equal to its m
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> For each of the following situations, say whether parametric or nonparametric methods would be preferred. Give a reason for your choice and indicate how serious a problem it would be to use the other method. a. Your data set consists of bond ratings, of
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> Consider the
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