answer the following questions
Statistics Chapters 1, 2, 3 Name Complete each problem showing all work and rounding to nearest 0.0001 [4 digits after the decimal mint! when appropriate! By hand means to use calculator for computation but show all formulae and sums as shown in class. PART 1. MULTIPLE CHOICE. FILL IN THE BLANK WITH YOUR RESPONSE. ONLY ONE IS CORRECT. 1. In order to assess the effects of exercise on reducing cholesterol, a researcher sampled fty people from a local gym who exercised regularly and fty people from the surrounding community who did not exercise regularly. They all reported to a clinic to have their cholesterol measured. The subjects were unaware of the purpose of the study, and the technician measuring the cholesterol was not aware of whether or not subjects exercised regularly. This is a) an observational study b) an experiment, but not a double blind one c) a double blind experiment d) a block design 2. A small college has 500 male and 600 female undergraduates. A simple random sample of 50 of the male undergraduates is selected, and, separately, a simple random sample of 60 of the female undergraduates is selected. The two samples are combined to give an overall sample of 110 students. The overall sample is a) a simple random sample. b) a stratied random sample. c) a multistage sample. d) all of the above. 3. A simple random sample of 500 Westmont college students were polled to predict the percent of Westmont students who smoke cigarettes. The sample showed that 14% of those polled smoke cigarettes. The number 14% is a a) sample b) parameter c) statistic d) response variable 4. A marketing research rm wishes to determine if the adult men in Laramie, Wyoming, would be interested in a new upscale men's clothing store. From a list of all residential addresses in Laramie, the rm selects a simple random sample of 100 and mails a brief questionnaire to each. The sample in this survey is a) all adult men in Laramie, Wyoming. b) all residential addresses in Laramie, Wyoming. c) the members of the marketing rm who actually conducted the survey. d) the 100 addresses the survey was mailed to. Use the following to answer questions 5 6 We wish to choose a simple random sample of size thme from the following employees of a small company using line 2 from the random number table. 10. Bechhofer 13. Kesten 16. Taylor 11. Brown 14. Kiefer 1'7. Wald 12. [to 15. Spitzer 18. Weiss 5. The simple random sample is a) 79 44 5? b) Bechhofer, Weiss, Kesten c) Wald, Spitzer, Spitzer again d) Bechhofer, Weiss, Ito 6. Which of the following statements is true? a) If we use another list of random digits to select the sample, we would get the same result as that obtained with the list actually used. b) If we use another list of random digits to select the sample, we would get a completely different sample than that obtained with the list actually used. c) If we use another list of random digits to select the sample, we would get, at most, one name in common with that obtained with the list actually used. d) If we use another list of random digits to select the sample, the result obtained with the list actually used would be just as likely to be selected as any other set of three names. '3'. In order to take a sample of 1200 people from a population, rst I assign a number to each member of the population from 1 through 1200. I then select every 15L11 number. This is an example of: a) double blind sample b) systematic sample c) simple random sample d) cluster sample In order to assess the opinion of students at the University of Minnesota on campus snow removal, a reporter for the student newspaper interviews the rst twelve students he meets who are willing to express their opinions. 8. In this case, the population is a) All those students favoring prompt snow removal b) all students at universities receiving substantial snow. c) the 12 students interviewed d) all students at the University of Minnesota 9. In the above case, the sample is a) All those students favoring [mmpt snow removal b) all students at universities receiving substantial snow. c) the 12 students interviewed d) all students at the University of Minnesota 10. [n the above case, the method of sampling used is a) simple random sampling b) voluntary response c) the Gallup Poll d) a census 11. To predict the winner of the mayor's race of a town made up of 20 square blocks. The researcher divides the population into 20 groups made up of the residence within each block. He then randomly selects 6 blocks and samples all voters living on those 6blocks. This sampling technique is called: a) simple random sample b) stratied c) cluster d) systematic 12. A group of college students believes that herbal tea has remarkable restorative powers. To test their theory, they make weekly visits to a local nursing home, visiting with residents, talking with them, and serving them herbal tea. After several months, many of the residents are more cheerful and healthy. The confounding variable in this experiment is a) the emotional state of the residents. b) herbal tea. c) the fact that his is a local nursing home. d) visits of the college students. 13. You took a test that had a mean of 83 with a standard deviation of 5.4 and scored 94 points on the exam. What is your standard score (aka zscore)? a. gnu2.04 b. zu1.96 c. z~1.96 d. z ~204- 14. Given the number of pets seen by a veterinarian in one month, to make a pie chart: Type of animal Number Cats 47 Dogs 50 Reptiles 1 3 Birds 28 Rats 1 2 What would be the degree measure of the central angle for the slice representing dogs? a. 120 b. 218 c. 50 d. 333 What would the percentage be for the slice representing rats? a. 28.8% b. 3.3% c. 12% d. 8% 15. Assume there are 80 values of data listed in numerical order and you want to locate the value at the 30\" percentile. Locate the value. a. the 30"I number b) the 24'\" number c) between the 24\"\" and the 25\" number d) between the 30Lh and the 31'L number Part I] Work 'Em Outs. Complete each problem showing formulaslwork as demonstrated in class! 1. In order to estimate the mean gas mileage for popular mid-size sedans, you collected the following data in miles per gallon. 16 23 31 12 16 28 23 36 Find each of the following BY HAND remembering to show formula, table and work. You may use a calculator to do the computation. a. the sample mean b. the sample standard deviation 2. The following table lists 30 of the 50 states in alphabetical order. Each state is labeled for your convenience. Obtain a simple random sample of size 5. With the calculator, use a seed value of 6. Using the Random number table, start at the beginning of the 6'll row. What 5 states are in your sample a. Calculator b. Table 3. The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. For your convenience, the data has been placed in numerical order. 154 156 165 165 170 171 172 180 184 185 189 189 190 192 195 198 198 203 2% 2(1) 2(5 205 211 215 220 220 225 238 255 265 (a) Determine the median of the data set. Show how you locate it. (b) Determine the first and third quartiles of the data set. Show how you locate them. (c) Determine the 65\" percentile (d) Display the data using a box-and-whisker plot. You must show a scale. 4. The following data represents the weights (in pounds) of check-in luggage for a sample of airline passengers. 2'? 25 54 1'? 18 18 23 29 32 10 13 42 48 61 39 34 21 20 31 30 46 13 23 24 23 35 Fill in the frequency distribution using 6 classes. a. lower class limits b. class width c. boundaries d. draw the frequency histogram (label) 5. The daily saturated fat intakes (in grams) of a sample of 24 people are given. 38 32 34 39 40 54 32 17 29 33 17 20 57 40 25 36 33 24 42 16 31 33 28 31 Construct an expanded frequency distribution using 5 classes. Classes 6. Draw a frequency polygon. 7.Draw a stem and leaf chart using the data from #5
