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Statistics Practice Final Exam: Confidence Intervals, Comparing Means, Plots, Histograms -, Exams of Statistics

Messiah CollegeStatistics
Prof. Samuel P. Wilcock

A practice final exam for a statistics course, covering topics such as constructing confidence intervals, comparing means, creating stem-and-leaf plots, and constructing histograms. Students are expected to solve problems related to these topics using given data.

Typology: Exams

Pre 2010

Uploaded on 08/18/2009

koofers-user-a78
koofers-user-a78 🇺🇸

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STAT 269 - Introductory Statistics
Practice Final Exam
1. Consider a researcher who is testing a new method for raising animals to be reintroduced in the
wild. He observed 250 animals. Of these, 200 are classied as successfully reintroduced. Construct a
90% condence interval for the true proportion of all animals raised with the new technique that are
successfully reintroduced into the wild. (Label each of your steps.)
1)
2)
3)
4)
5)
6)
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pf4
pf5

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STAT 269 - Introductory Statistics

Practice Final Exam

  1. Consider a researcher who is testing a new method for raising animals to be reintroduced in the wild. He observed 250 animals. Of these, 200 are classi ed as successfully reintroduced. Construct a 90% con dence interval for the true proportion of all animals raised with the new technique that are successfully reintroduced into the wild. (Label each of your steps.)
  1. In a random sample of 13 cars from a rental company's eet, it is found that the average number of miles logged in the past 12 months is 9,876 miles, with a standard deviation of 782 miles. The data from the previous year found that the 15 cars sampled had an average of 10,285 miles logged, with a standard deviation of 803 miles. Suppose we can assume that the variances for the underlying distributions are equal, and that the distributions are normal. Can we conclude, at the 0.10 level, that the mean number of miles logged for all of the company's cars in the last 12 months di ers from the mean number of miles logged for all of the company's cars the previous 12 months? (Label each of your steps.)
  1. The following table is the partial frequency table for the previous example with a larger random sample of stores (50).

Categories Frequency Relative Frequency 9.5 { 21.5 27. 21.5 { 33.5 16. 33.5 { 45.5 4. 45.5 { 57.5 1. 57.5 { 69.5 1. 69.5 { 81.5 1.

(a) Use this table to construct a histogram for this setting.

(b) Comment on anything interesting about the shape of the distribution.

  1. In class we discussed that in elementary school children, there is a high correlation between the size of a student's foot, and their score on reading exams. This was an example of what statistical phenomenon?
  2. Classify \the number of electric can openers sold" using each of our three methods of classifying a random variable. (You should have three one word answers.)
  3. Suppose someone were to see a test we conducted in which we the alternative hypothesis was  > 35 and we found X = 37:4. Based on the calculations, we nd that there is not enough evidence to conclude that the mean measurement for all subject was more than 35. Explain in one or two sentences why we could not conclude that the average was more than 35 despite having a sample average that was more than 35?
  4. Suppose that I am going to ip a coin until I see the third head. Why is this not a binomial experiment?