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Stat 321 HW1 solution

Probability and Statistics for Engineering and the Sciences (with Student Suite Online)

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Stat 321 - HW 1 Solutions 1) This activity asks you to consider the value of statistics ratings that you and your classmates gave to Statistics in the Stat 321 Initial survey (1=completely useless to 9=extremely important). The responses of the first 31 individuals were: 6, 9, 9, 6, 7, 9, 7, 7, 7, 9, 9, 7, 7, 7, 7, 7, 6 ,6 ,8, 6, 6, 5, 7, 7, 6, 9, 7, 8, 9, 8, 8 a) Tally the responses of students in your class by counting how many students answered 1, how many answered 2, and so on. Create a table similar to the following to organize the data: Rating 1 2 3 4 5 6 7 8 9 Tally (count) 1 7 12 4 7 b) Which value was chosen most often (the “mode”)? 7 c) How many and what proportion of students gave a response (strictly) greater than 5? Less than 5? 30 of 31 (.968) were strictly greater than 5. 1 of 31 (.032) was at most 5. d) Based on these data, write a paragraph interpreting how your class generally seems to feel about the value of statistics in society. Specifically, comment on the degree to which these students seem to be in agreement. Also address if students seem to be generally optimistic, pessimistic, or undecided about the value of statistics. The class appears very optimistic about the value of statistics. All responses were 5 or higher with 7 the most common response followed by 9. e) Suggest a measurement issue that may lead to these responses not being an accurate reflection of the opinions about statistics of the students in this class. Students may not be honest in their opinions believing the instructor may judge them differently based on their response. f) Suggest a sampling issue that may explain why these responses are not representative of the opinions of all Cal Poly students.
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