Final Exam - Practice _1-1

Final Exam - Practice _1-1 - Final Exam Practice#1 1 Of the...

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Final Exam – Practice #1 1 - Of the 250 people attending a recent fund-raising auction, 50 were malesand 200 were females. A simple random sample of 10 malesand a simple random sample of 20 femaleswill be taken and various responses will be recorded. a. What type of sampling method is used to obtain the 30 selected attendees? Technique: b. Listed below are some of the variables that were used in this survey. For each of thesedetermine whether they are qualitative (i.e., categorical) , quantitative discrete (i.e., a count), or quantitative continuous. [1 pt each] Donation amount (in $) Number of people bidding on the antique clock Color of the table cloth on the dinner table Amount of sodium (=salt) consumedat dinner qualitative/categorical count continuous qualitative/categorical count continuous qualitative/categorical count continuous qualitative/categorical count continuous d. The following data represent the ages of the 20 randomly selected females. 20 26 25 22 32 25 33 28 29 19 44 21 18 22 47 36 38 21 23 33 e. Use the grid below to create a histogram of this data. Use a lower limit of 15, an upper limit of 50 and a class width of 5. Make sure to label both axesand put some values along both axes. [2 pts] f. Which of the following are appropriate descriptions for the above graph? Circle all that apply. [2 pts] UnimodalBell-shaped Uniform Left skewed Right skewed Decreasing trend Stable If your sample = {3.2888, 4.3888, and 14.4888 lbs}, then x = . . . . . . . and s = . . . . . . . (pls make sure to include the units in your answer. Interpret your value for the standard deviation: What is the value of the variance (including units)? . . . . . . . . . . . . . Statistics 100 W07 Final Exam Page 1 of 8
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Final Exam – Practice #1 2 - Consider two competing models for describing the distribution of scores on a test. Let X represent the variable score for the population under study. H 0 : X is U(40, 80) vs. H 1 : X is N(40, 10) a. Draw the distribution for X under H 0 . Include labels on both axesand a value on the y-axis. [2 pts] 10 20 30 40 50 60 70 80 b. Draw the distribution of X under H 1 . Include a label on the x-axis. [2 pts] 10 20 30 40 50 60 70 80 c. What is the direction of extreme for this testing problem?(circle one) one-sided to the right one-sided to the left two-sided can’t tell d. Suppose we decide to reject H 0 if the observed score is 50 or more extreme. (i) Shade(using \ \ \), clearly label and compute α . Show all work. [2 pts] α = (ii) Shade(using / / /), clearly label and compute β . Show all work. [2 pts] β = e. Suppose the observed value is a score of 42. What is the p-value for this observation? Show all work. [2 pts] Statistics 100 W07 Final Exam Page 2 of 8
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Final Exam – Practice #1 p -value = Statistics 100 W07 Final Exam Page 3 of 8
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Final Exam – Practice #1 3 - Engineering school confronts cheating : 88% of engineers cheated By Arikia Millikan, Daily Staff Reporter, March 30, 2007 When students in the College of Engineering finish an exam, they are required to write out the University honor  code. They sign their name to pledge that they didn't cheat. But according to a new study, more than a third of  them are lying. In the College of Engineering, cheating on exams is particularly easy, especially tests there aren't 
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