Final_2020F_Part_B

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University of Ottawa *

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2150

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Statistics

Date

Jan 9, 2024

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pdf

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Uploaded by LieutenantOryx2637

Final Exam Part B 1 Question 1 Consider a population of three families with the following data representing the number of pets in each family. Family Number of Pets A 1 B 6 C 4 a) What is the population mean for the number of pets? (2 points) b) What is the population variance for the number of pets? (2 points) c) Develop the sampling distribution for the mean number of pets in all possible random samples of size 2 based on this population. Explain your process and use a table to present your answer. (7 points) d) What is the standard error for the sampling distribution? Show your work. (2 points) e) What is the probability that the mean number of pets in a random sample of size 2, based on the information above, is less than 2.6? Show your work. (2 points)

Final Exam Part B 2 Question 2 A local university administers a comprehensive examination to the recipients of a B.S. degree in Business Administration. A sample of 5 examinations is selected at random and scored. The scores are shown below. 54 68 75 80 98 a) Determine the margin of error for a 95% confidence. (6 points) b) At 88% confidence, determine an interval for the mean of the population. (3 points) c) What assumption did you make to construct your confidence interval? (2 points)

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