Math 2283-014 Test 1 version A Spring 2017 Solutions.pdf

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Math 2283-014 Test 1 Version A Spring 2017 Solutions Page 1 of 13 Math 2283 Test 1 version A Section 014 31 January 2017 Lecturer: Ron Williams 75 minutes 1. A random sample of 400 deaths in a certain country had the following percentages for the cause of death. Cause of Death Percent Heart disease 30.3% Cancer 23.0% Circulatory diseases and stroke 8.4% Respiratory diseases 7.9% Accidents 4.1% Other 26.3% For how many in the sample was the cause of death cancer? a. 62 b. 75 c. 104 d. 121 e. None of the above 23% of 400 = 92 2. Which of the following is an example of an ordinal level measurement? a. The amount of gasoline pumped by the next customer at a service station. b. The number of students absent from class on a particular day. c. The degree of pain a patient is experiencing (1 = no pain to 10 = extreme pain). d. The name of the most valuable player in a football game. e. None of the above 3. A random sample of 80 was obtained from a certain population and the mean was calculated to be 150. Which of the following is the correct symbolic representation of this fact? a. ?̅ = 150 b. ? = 150 c. 𝜎 = 150 d. 𝜇 = 150 e. None of the above

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Math 2283-014 Test 1 Version A Spring 2017 Solutions Page 2 of 13 4. Which of the following is a correct description of an experiment? a. A method of gathering primary data by observing subjects of interest in their natural environment. b. A direct observational technique whereby individuals are often paid to discuss their attitudes toward products or services in a group setting controlled by a moderator. c. A method of gathering primary data by exposing subjects to certain treatments and recording the data of interest. d. A method of collecting primary data by asking subjects a series of questions. e. None of the above 5. The histogram for the lengths (in millimeters) from a random sample of a certain species of insect is shown below. Describe the skewness of the data. a. The data are negatively skewed. b. The data are positively skewed. c. The data are symmetric.
Math 2283-014 Test 1 Version A Spring 2017 Solutions Page 3 of 13 6. Brake-pad useful mileage for a certain brand of brake-pad is normally distributed with a mean of 44,000 miles and a standard deviation of 950 miles. What is a tolerance interval that includes 95.4% of brake-pad mileages for this brand? a. 43,050 miles to 44,950 miles b. 42,100 miles to 45,900 miles c. 41,150 miles to 46,850 miles d. 40,200 miles to 47,800 miles e. None of the above For normal data, 95.4% of the data is within 2 standard deviations of the mean: 𝜇 − 2𝜎 ?? 𝜇 + 2𝜎 44000 − 2(950) ?? 44000 + 2(950) 40200 ?? 47800 7. The weights (to the nearest pound) of a sample of employees at a certain company are summarized in the stem-and-leaf display below. Stem Leaf 15 37 16 144789 17 23356777899 18 1113447 19 3445 20 4 What is the median weight? a. 177 b. 178 c. 179 d. 181 e. None of the above The position for the median is 𝑖 = 50 100 (31) = 15.5 which rounds up to 16. The value in the 16 th position, 177 , is the median.

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Math 2283-014 Test 1 Version A Spring 2017 Solutions Page 4 of 13 8. The mean selling price of 350 recent home sales in a certain neighborhood was \$175,000 with a standard deviation of \$55,000. Jerry’s homes sold for \$245,400. Which of the following is a correct statement?
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