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 males and 200 were females. A simple random sample of 10 males and a simple random sample of 20 females will 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 these determine 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) consumed at 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 axes and 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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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 axes and 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] = (ii) Shade (using / / /), clearly label and compute β . Show all work. [2 pts] = e. Suppose Statistics 100 W07 Final Exam Page 2 of 8
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Final Exam - Practice _1-1 - Final Exam Practice#1 1 Of the...

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