<p>Statistics Winter 2005 Section 08 Dr. Redmond Test 1 Name______</p><p>1. What is x if  13 ,   4 , and the sample size is n  35?</p><p>______</p><p>2. What is  x if   25 ,  16 , and the sample size is n  64 ?</p><p>______</p><p>3. Assume that blood pressure readings are normally distributed with a mean of 117 and a standard deviation of 6.4. If 64 people are randomly selected, find the probability that their mean blood pressure will be less than 115. Do not round your answer at all.</p><p>______</p><p>4. Determine P(z  .27) . Do not round at all. ______</p><p>5. Determine P(z  1.98) . Do not round at all. ______</p><p>6. Determine P(2.35  z 1.59) . Do not round at all. ______</p><p>7. Find the z – value with area .13 to its right. Do not round at all.</p><p>______8. Find the z – value with area .76 to its left. Do not round at all.</p><p>______</p><p>9. Let  13 and   6 . Determine P(3.2  x 17.2) . Do not round at all.</p><p>______</p><p>10. Let   61 and   8 . Determine P(x  64.44) . Do not round at all.</p><p>______</p><p>11. Let   21 and  11. Find the x – value with area .29 to its right. Do not round at all.</p><p>______</p><p>12. Let   45 and   26 . Find the x – value with area .91 to its left. Do not round at all.</p><p>______13. Consider the following data set:</p><p>7 8 13 14 16</p><p>Which quantile is 7.94? Do not round your answer. Give as many decimal places as your calculator provides. Show your work.</p><p>______</p><p>14. Determine the .375 quantile of the following data set:</p><p>7 15 21</p><p>Do not round at all. ______</p><p>15. Consider the following data set:</p><p>3 5 8</p><p>Which quantile is 7.67? Do not round your answer. Give as many decimal places as your calculator provides. Show your work.</p><p>______16. By hand, find the standard deviation of the following sample:</p><p>1 4 5 10</p><p>Show all of your work. Round your answer to TWO decimal places.</p><p>______</p><p>17. Find the first quartile of the following data set:</p><p>9 17 22 25 31 37</p><p>Do not round your answer at all. ______</p><p>18. Find the third quartile of the following data set:</p><p>7 9 25 26 47 52</p><p>Do not round your answer at all. ______19. Find the median of the following data set:</p><p>5 14 19 29 33 40</p><p>Do not round your answer at all.</p><p>______</p><p>20. By hand, find the standard deviation of the following population:</p><p>1 5 12</p><p>Show all of your work. Round your answer to TWO decimal places.</p><p>______</p><p>21. Consider the data set described by the following stemplot:</p><p>0 | 79 1 | 3 1 | 568 2 | 03</p><p>Above, 0 | 7 = 7, 1 | 3 = 13, etc. Find the second quartile of this data set. Do not round your answer.</p><p>______22. The following histogram may be described as being a) symmetric b) skewed right c) skewed left</p><p>23. Consider again the data set described by the histogram above in #21. You would expect the mean to be a) exactly the same as the median. b) to the right of the median. c) to the left of the median.</p><p>24. The size of the data set described by the histogram in #21 is approximately</p><p> a) 60 b) 70 c) 100 d) 200 e) 250 25. Consider the following data set, where the largest value x is unknown.</p><p>1 5 6 8 10 x</p><p>What is the largest whole-number value that x could be without being an outlier?</p><p>______</p>