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1. In a national poll, 1039 adults who were employed full or part time were aske

ID: 3202323 • Letter: 1

Question

1. In a national poll, 1039 adults who were employed full or part time were asked the following question: “If you won 10 million dollars in the lottery, would you continue to work, or would you stop working?” Sixty-eight percent of the respondents said that they would continue to work. Is this study descriptive or inferential? Explain your answer.

2. A national bank has six tellers available to serve customers. The data in the following table provide the number of busy tellers observed during 25 spot checks.

6, 6, 3, 4, 3, 5, 1, 5, 5, 4, 4, 5, 2, 0, 2, 1, 5, 4, 6, 3, 5, 5, 3, 4, 6

Draw a relative-frequency table.

Describe what a relative frequency histogram based on part (a) would look like (note: You may want to draw one, even though you can't submit it). Choose an appropriately sized bin width.

Classify the shape of the distribution both generally and specifically.

3. In an article in Early Medieval Europe, the author discussed the frequency of cremation burials found in 17 archaeological sites in eastern England. Here are the data:

83, 46, 64, 385, 46, 21, 48, 86, 523, 429, 35, 51, 34, 258, 265, 119, 2484

Find the mean, median, and mode of the data.

Which measure of center do you think is most appropriate? Explain.

4. During one year, monthly casualties from motorcycle accidents in Scotland for built-up roads and non built-up-roads were as follows:

Find the range and sample standard deviation of each of the two data sets. Interpret those results in context.

5. The ages of 36 millionaires in a sample are arrange in increasing order in the following table:

31, 48, 60, 69, 38, 48, 61, 71, 39, 52, 64, 71, 39, 52, 64, 74, 42, 53, 66, 75, 42, 54, 66, 77, 45, 55, 67, 79, 47, 57, 68, 79, 48, 59, 68, 79

Find the five-number summary.

Identify potential outliers, if any.

Describe what a boxplot would look like (note: you may want to draw one, even though you can't submit it). Interpret this boxplot.

Month Built-Up Non-built-up Jan 25 16 Feb 38 9 Mar 38 26 Apr 56 48 May 61 73 Jun 52 72 Jul 50 91 Aug 90 69 Sep 67 71 Oct 51 28 Nov 64 19 Dec 40 12

Explanation / Answer

Q1)

We know that the descriptive statistics provide descriptions of the population, either through numerical calculations or graphs or tables. Or the other hand we can say that the inferential statistics makes inferences and predictions about a population based on a sample of data taken from the population.

Here in this question we are not finding any type of prediction but we find a type of descriptions as it says in a national poll, 1039 adults who were employed full or part time were asked the question: “If you won 10 million dollars in the lottery, would you continue to work, or would you stop working?” “Sixty-eight percent of the respondents said that they would continue to work.

Answer: Descriptive Statistics