1. What Is If , , and the Sample Size Is ?

Statistics Winter 2005 Section 08 Dr. Redmond Test 1 Name______

1. What is x if  13 ,   4 , and the sample size is n  35?

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2. What is  x if   25 ,  16 , and the sample size is n  64 ?

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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.

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4. Determine P(z  .27) . Do not round at all. ______

5. Determine P(z  1.98) . Do not round at all. ______

6. Determine P(2.35  z 1.59) . Do not round at all. ______

7. Find the z – value with area .13 to its right. Do not round at all.

______8. Find the z – value with area .76 to its left. Do not round at all.

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9. Let  13 and   6 . Determine P(3.2  x 17.2) . Do not round at all.

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10. Let   61 and   8 . Determine P(x  64.44) . Do not round at all.

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11. Let   21 and  11. Find the x – value with area .29 to its right. Do not round at all.

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12. Let   45 and   26 . Find the x – value with area .91 to its left. Do not round at all.

______13. Consider the following data set:

7 8 13 14 16

Which quantile is 7.94? Do not round your answer. Give as many decimal places as your calculator provides. Show your work.

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14. Determine the .375 quantile of the following data set:

7 15 21

Do not round at all. ______

15. Consider the following data set:

Which quantile is 7.67? Do not round your answer. Give as many decimal places as your calculator provides. Show your work.

______16. By hand, find the standard deviation of the following sample:

1 4 5 10

Show all of your work. Round your answer to TWO decimal places.

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17. Find the first quartile of the following data set:

9 17 22 25 31 37

Do not round your answer at all. ______

18. Find the third quartile of the following data set:

7 9 25 26 47 52

Do not round your answer at all. ______19. Find the median of the following data set:

5 14 19 29 33 40

Do not round your answer at all.

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20. By hand, find the standard deviation of the following population:

1 5 12

Show all of your work. Round your answer to TWO decimal places.

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21. Consider the data set described by the following stemplot:

0 | 79 1 | 3 1 | 568 2 | 03

Above, 0 | 7 = 7, 1 | 3 = 13, etc. Find the second quartile of this data set. Do not round your answer.

______22. The following histogram may be described as being a) symmetric b) skewed right c) skewed left

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.

24. The size of the data set described by the histogram in #21 is approximately

a) 60 b) 70 c) 100 d) 200 e) 250 25. Consider the following data set, where the largest value x is unknown.

1 5 6 8 10 x

What is the largest whole-number value that x could be without being an outlier?

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