Parametric Nonparametric Data Identification & Regression

Label each of the following situations “P” if it is an example of parametric data or “NP” if it is an example of nonparametric data.

1. A manufacturer produces a batch of memory chips (RAM) and measures the mean-time-between-failures (MTBF). The manufacturer then changes a manufacturing process, produces another batch, and again measures the MTBF. Did the change to the process improve the MTBF? ____

2. From a written survey where the respondents were asked to rate an individual on a scale of 1 to 5, one group rated an individual a 3.7, another group rated the individual a 4.3. Is the difference statistically significant? ____

3. A catering company is buying equipment in order to set up their own store. They have a choice of two ovens that they can purchase for the store. The used oven is $100 less than the new oven, but its heating calibration is off by 20 degrees. Which one is a better buy for them? ____

4. Jim Smith owns three real estate offices in Anytown. He has decided to open one more office, but he cannot decide between Hometown or Uptown as the town where he wants to locate. He will be comparing the mean number of homes sold per real estate agent, and the mean commission percentage earned by agents in the two towns to make his decision. ____

5. A study to determine if job absenteeism is distributed evenly over the week. ____

6. Mel’s Diner has been surveying their customers for the past couple of years about their dining experience in the restaurant. The survey uses a scale of one to five, five being best to indicate customer satisfaction. Mel’s customer satisfaction averaged 2.5 last year, but this year it is 2.9. Is this difference statistically significant? ____

7. Sally’s Beauty Salon just opened for business. Sally assigns the stylists customers on a rotation basis so that everyone is kept busy all day. One month after she opened the salon, Sally’s customer count for each stylist was (a) 20 customers; (b) 30 customers; (c) 15 customers; and (d) 25 customers. Has Sally been fair in how she allocates customers to each of the stylists? ____

8. A comparison of salaries between male and female employees in the same organization. ____

PART TWO – REGRESSION ANALYSIS

A highway employee performed a regression analysis of the relationship between the number of construction work-zone fatalities and the number of unemployed people in a state. The regression equation is Fatalities = 12.7 + 0.000114 (Unemp). Some additional output from the regression analysis is given below:

Predictor Coef SE Coef T Test P-Value
Constant 12.7 8.115 1.57 0.134
Unemp. 0.000114 0.00002896 3.93 0.001

Analysis of Variance
Source DF SS MS F Test P-Value
Regression 1 10354 10354 15.46 0.0001
Residual Error 18 12054 670 begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting 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670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting 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670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting begin_of_the_skype_highlighting              18 12054 670      end_of_the_skype_highlighting
Total 19 22408

a. How many states were used in the sample?

b. Determine the standard error of estimate.

c. Determine the coefficient of determination.

d. Determine the coefficient of correlation.

e. At the .05 significance level, does the evidence suggest there is a positive association between fatalities and the number unemployed? Use a test of hypothesis to substantiate your claim.

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