mid01_solpdf - ISyE2028A Fall 2010 Tuesday September 28...

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ISyE2028A, Fall 2010 Tuesday September 28 Midterm 1 Solutions Version A 1. The median of the data set 8, 20, 18, 8, 9, 16, 10, and 12 is __________. [5 points] ANSWER: 11 2. The positive square root of the population variance is called __________. [5 points] ANSWER: population standard deviation 3. Which of the following statement is false? [5 points] A. A physical interpretation of the sample mean x demonstrates how it measures the location (center) of a sample. B. The sample median, represented by , x is the middle value when the observations are ordered from smallest to largest. C. The sample median is very sensitive to extremely small or extremely large data values (outliers). D. The sample mean is very sensitive to extremely small or extremely large data values (outliers). ANSWER: C 4. Which of the following statement is not always true? [5 points] A. A point estimator ˆ is said to be an unbiased estimator of parameter if ˆ () E  for every possible value of . B. If the estimator ˆ is not unbiased of parameter , the difference ˆ E is called the bias of ˆ . C. A point estimator ˆ is unbiased if its probability sampling distribution is always “centered” at the true value of the parameter , where “centered” here means that the median of the distribution of ˆ is . ANSWER: C 5. Which of the following expressions are true about a large-sample upper confidence bound for the population mean ? [5 points] A. /2 x z s n B. x z s n C. x z s n D. x z s n ANSWER: D 6. The upper limit of a 95% confidence interval for the variance 2 of a normal population using a sample of size n and variance value 2 s is given by: [5 points] A. 22 .05, 1 ( 1) / n ns B. .025, 1 ( / n C. .95, 1 ( / n D. .975, 1 ( / n ANSWER: D
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ISyE2028A, Fall 2010 Tuesday September 28 7. Measurements were made on the legs (in mm) of a random sample of certain species of beetles regularly found on corn plants in Iowa. The ordered data are as following: Length of legs of certain beetle. (in mm) 121 125 130 130 130 131 131 132 135 135 137 138 138 141 143 143 145 146 147 151 163 A. Create the stem-and-leaf plot. B. Construct the boxplot. C. Calculate a trimmed mean by deleting the smallest and largest observations. What is the corresponding trimming percentage?
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mid01_solpdf - ISyE2028A Fall 2010 Tuesday September 28...

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