Name MATH 185 -Elementary Statisties Assessment #1-Worth 20 points 1) There are
ID: 2922362 • Letter: N
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Name MATH 185 -Elementary Statisties Assessment #1-Worth 20 points 1) There are two sections of an introductory statistics course. Section A has 25 students and section B Date and the has 30 students. All students took the same final exam. The mean score in section A was 82 mean score in section B was 78. a) Find the sum of the scores in section A. b) Find the sum of the scores in section B 2) A National Center for Health Statistics study states that the mean height for adult men in the United States is 69.4 inches with a standard deviation of 3.1 inches, and the mean weights is 194.7 pounds with a standard deviation of 68.3 pounds. a) Compute the coefficient of variation for height. b) Compute the coefficient of variation for weight. e) Which has greater spread relative to its mean, height or weight? 3) Suppose you just started working as a social worker a) You did some research and found that the coefficient of variation of a list of starting salaries of social workers is 0.037. You also found that the standard deviation of the salaries is $1400. What was the mean? b) Your starting salary is $36,100, what is your z-score c) Seeing your z-score, do you feel like you should ask for a raise? d) You decide to push for a raise next month, you want to be at least 1 standard deviation above the mean, how much more money should you ask for to be achieve this goal? 4) Records at a hospital show that a certain surgical procedure take an average of 162.8 minutes with a standard deviation of 4.9 minutes. If the data are approximately bell-shaped, between what two values will about 95% of the data fall? bell shaped,approximately what percentage of data values will fal within one When a distribution is standard deviation of the mean? 5)Explanation / Answer
1)
a. Sum of scores of A will be : mean of A section * no. of people in A = 82*25 = 2050
b. Sum of scores of B will be : mean of B section * no. of people in B = 78*30 = 2340
2)
a. Coeff of Var of height = Sigma/Mean = 3.1/69.4 = .0445
b. Coeff of Var of weight = 68.3/194.7 = .357
c. Weight having the higher Coeff of Variation has the highest spread. This is because standard deviation of weight
is very high, indicating high span/high spread.
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