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Statistic Test 1 March 25, 2011 Dr. Platte Name: ________Key____________________________________ INSTRUCTIONS: Always use proper statistical notation! You may use Excel, your calculator and the formula sheet to aid in your work. All results and pertinent work must be transferred to the test. Data for problems is on Z: drive in the file Test1-data.xlsx. Save your workbook work. 1. (6 points) Is the number of seats in a movie theater qualitative data or quantitative data? Explain! It is quantitative since it can be used in calculation such as mean number of seat in all movie theaters. 2. (6 points) A survey of 1353 American households found that 20% of the households own a computer. Identify the population and the sample. American Households is the population and 1353 of the households is the sample. 3. (6 points) The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random, find the probability of selecting a person with blood type A+ or A-. Just one probability is being asked for! Blood Type O+ O- A+ A- B+ B_ AB+ AB- Number 37 6 34 6 10 2 4 1 P(A or A+) = 40/100 =.4 4. (6 points) Without performing any calculations, use the stem-and-leaf plots to determine which statement below is accurate. Circle the correct statement. A. Data set (ii) has the greatest standard deviation. B. Data sets (i) and (ii) have the same range. C. Data sets (i) and (ii) have the same standard deviation. D. Data set (i) has the greatest standard deviation. i) Stem unit: 10 ii) Stem unit: 10 1 9 3 9 2 58 4 456 3 3377 5 1359 4 25 6 01 5 1 5. (8 points) Use the standard normal distribution to find P(-2.25 < z < -0.27). = .3936 - .0122 = .3814 6. (8 points) Find the area of the indicated region under the standard normal curve. P( z> -1.30) = .9032 7. The Histogram below shows a sample of 49 heights in inches. a) (8 points) Without doing any calculations, just using the concept of mean which selection below is the most reasonable estimate of the mean? Estimate is rounded to nearest inch. Circle your selection. A) 57 B) 59 C) 60 D) 62 E) 64 b) (8 points) Without doing any calculations, just using the concept of standard deviation which selection below is the most reasonable estimate of the standard deviation? Estimate is rounded to nearest inch. Circle your selection. A) 14 B) 10 C) 8 D) 4 E) 2 Heights 14 13 12 12 11 10 Frequency 8 8 6 5 4 2 0 52-54 55-57 58-60 61-63 64-66 Inches 8. (10 points) A placement exam for entrance into a math class yields a mean of 80 and a standard deviation of 10. The distribution of the scores is roughly bell-shaped. Use the Empirical Rule to find the percentage of scores that lie between 70 and 90. Use the Empirical Rule to find the percentage of scores that lie between 60 and 80. Percentage within one standard deviation of the mean is 68%. Percentage within 2 standard deviations of the mean is 95%, due to the symmetry half of the 95% is between 60 and 80. The answer is 47.5%. 9. (10 points) The heights (in inches) of 32 adult males are on the excel workbook for this test. Find the 5 number summary. On Wookbook! 10. (12 points) The test scores on a 40 point test for 40 students are in the excel workbook for this test. Construct a frequency table and histogram using eight classes. On Wookbook! 11. (12 points) Robert DeNiro has had acting roles in over 88 films. A sample of the lifetime gross income from 20 of his movies are on the excel workbook for this test. Find the mean and standard deviation for this sample data set. Based on this data how likely is it that his next film will have a lifetime gross of $250,000,000 or more? Why? On Wookbook!
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