# OSU BUSMGT 2320 - Comparisons of Two Populations (mu) Additional Practice (4 pages)

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## Comparisons of Two Populations (mu) Additional Practice

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- Pages:
- 4
- School:
- Ohio State University
- Course:
- Busmgt 2320 - Decision Sciences: Statistical Techniques

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Comparisons Additional Practice Problems 1 If some natural relationship exists between each pair of observations that provides a logical reason to compare the first observation of sample 1 with the first observation of sample 2 the second observation of sample 1 with the second observation of sample 2 and so on the samples are referred to as a matched samples b independent samples c weighted samples d random samples 2 True or False A researcher is curious about the effect of sleep on students test performances He chooses 50 students and gives each two tests one given after four hours of sleep and one after eight hours of sleep The test the researcher should use would be matched pairs t test 3 Consider the following hypothesis test Ho 1 2 1 7 n1 20 X 1 25 2 s1 4 0 05 H1 1 2 1 7 n2 35 X 2 20 4 s2 7 a What is the appropriate distribution for the test statistic Z or t If t also indicate the degrees of freedom b What are the value s of the critical point s Express your answer to 3 decimal places c What is the 95 Confidence Interval estimate of 1 2 Express your answer to 3 decimal places d Reject Do not reject null hypotheses e Conclusion 4 The number of degrees of freedom associated with the t test when the data are gathered from a matched pairs experiment with 10 pairs is a 10 b 20 c 9 d 18 Use the following narrative to answer questions 5 and 6 Automobile insurance appraisers examine cars that have been involved in accidental collisions to assess the cost of repairs An insurance executive is concerned that different appraisers produce significantly different assessments In an experiment 10 cars that have recently been involved in accidents were shown to two appraisers Each assessed the estimated repair costs These results are shown below Car 1 2 3 4 5 6 7 8 9 10 Appraiser 1 1650 360 640 1010 890 750 440 1210 520 690 Appraiser 2 1400 380 600 920 930 650 410 1080 480 770 5 What does D1 equal a 1650 360 the range of repair cost assessments for Appraiser 1 b 816 the

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