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# Parametric and Nonparametric Data Identification

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Parametric and Nonparametric Data Identification Assignment
Which one of these statements are an example of parametric data or 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 and 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. ____

Chi Square:

1) Sixty-four students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Research question: At &#945; = .01, is the degree of certainty independent of credits earned?

Credits Earned Very Uncertain Somewhat Certain Very Certain Row Total
0-9 12 8 3 23
10-59 8 4 10 22
60 or more 1 7 11 19
Col Total 21 19 24 64

2) A student team examined parked cars in four different suburban shopping malls. One hundred vehicles weres examined in each location. Research question: At &#945; = .05, does vehicle type vary by mall location?

Vehicle Type Somerset Oakland Great Lakes Jamestown Row Total
Car 44 49 36 64 193
Minivan 21 15 18 13 67
Full-sized Van 2 3 3 2 10
SUV 19 27 26 12 84
Truck 14 6 17 9 46

Col Total 100 100 100 100 400

3) High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as "Low" (under 88 decibels), "Medium" (88 to 91 decibels),Sport or "High" (92 decibels or more). There are three flight phases (Climb, Cruise, Descent).
At &#945; = .05, is the cockpit noise level independent of flight phase
Noise Level Climb Cruise Descent Row Total
Low 6 2 6 14
Medium 18 3 8 29
High 1 3 14 18

Col Total 25 8 28 61
4) Can people really identify their favorite brand of cola? Volunteers tasted Coca-Cola Classic, Pepsi, Diet Coke, and Diet Pepsi, with the results shown below. Research question: At &#945; = .05, is the correctness of the prediction different for the two types of cola drinkers? Could you identify your favorite brand in this kind of test? Since it is a 2 Ã— 2 table, try also a two-tailed two-sample z test for &#960;1 = &#960;2 and verify that z2 is the same as your chi-square statistic.Which test preferred? Why?

Observed

Regular Diet
Yes 7 7 14
No 12 20 32
19 27 46

https://brainmass.com/statistics/chi-squared-test/176090

#### Solution Preview

Parametric and Nonparametric Data Identification Assignment

Which one of these statements is an example of parametric data or an example of nonparametric data?
Note:
Many -statistical test are based upon the assumption that the data are sampled from a Normal distribution. These tests are referred to as parametric tests. Commonly used parametric tests include the t test and analysis of variance.
Tests that do not make assumptions about the population distribution are referred to as nonparametric- tests. All commonly used nonparametric tests rank the outcome variable from low to high and then analyze the ranks.
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 and produces another batch and again ...

#### Solution Summary

The solution identifies Parametric and Nonparametric Data
Also there are answers to 4 chi square questions

\$2.49