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 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.
You cannot copy and paste to this site. You can repost with the situations typed.
Parametric data approximates a normal distribution. Which of the examples would do that?
I hope this helps. Thanks for asking.
1. P
2. NP
3. NP
4. NP
5. P
6. NP
7. P
8. P
1. This situation involves measuring the mean-time-between-failures (MTBF) of memory chips produced before and after a change in the manufacturing process. This is an example of parametric data because MTBF is a numerical measurement that can be analyzed using statistical methods. Therefore, label this situation as "P."
2. In this situation, respondents were asked to rate an individual on a scale of 1 to 5, and different groups provided different ratings. The question asks if the difference in ratings is statistically significant. Since the data is based on ratings and does not have any inherent numerical values, this is an example of nonparametric data. Therefore, label this situation as "NP."
3. This situation involves choosing between two ovens for a catering company based on price and heating calibration. Although there are numerical values (price difference and temperature difference), the decision here is not based on statistical analysis. Instead, it is based on preferences and practical considerations. Therefore, this situation does not involve parametric or nonparametric data.
4. Jim Smith wants to compare the mean number of homes sold per real estate agent and the mean commission percentage earned by agents in two towns to decide where to open a new office. Since he is comparing means, this situation involves parametric data. Therefore, label this situation as "P."
5. The study aims to determine if job absenteeism is evenly distributed over the week. This question involves analyzing the distribution pattern of job absenteeism, which does not necessarily require numerical measurements. Hence, this is an example of nonparametric data, so label this situation as "NP."
6. Mel's Diner has been surveying customer satisfaction using a scale of one to five. The question seeks to determine if the difference in satisfaction between two years is statistically significant. Since the data is based on ratings, which are nonparametric in nature, label this situation as "NP."
7. Sally's Beauty Salon assigns customers to stylists on rotation. The data provided is the customer count for each stylist. This situation does not involve numerical measurements or statistical analysis. It is simply observing the customer count for each stylist, making it unrelated to parametric or nonparametric data.
8. The comparison of salaries between male and female employees in the same organization involves analyzing numerical data – salaries. Since this question involves comparing numerical values and conducting statistical analysis, it is an example of parametric data. Therefore, label this situation as "P."