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Bio 260 (Sp17) Assignment #2 Form C, Due Feb 2 Name:_________________ Provide answers only in space provided, do not attach additional sheets. Write clearly to ensure full credit for your answers. Write the first letter of your surname in box above. (1, 1 pt ea) Provide the summary statistics for the following set of numbers below: (Note: if the answer is not an integer, you must provide the value to three decimal places)s 21, 24, 24, 29, 24, 28, 11, 16, 42, 33, 22, 20, 23, 19 Mean = 24 Range = 31 Pop. Variance = 52.429 Median = 24 IQR = 8 Pop. standard deviation = 7.241 Q1 = 20 Mid-range = 26.500 Sample variance = 56.462 Q3 = 28 Mode = 24 Sample standard deviation = 7.514 Skewness (population) = 0.718 Skewness (sample) = 0.692 Kurtosis (population) = 3.795 Kurtosis (sample) = 3.524 Excess kurtosis (population) = 0.795 Excess kurtosis (sample) = 0.524 Coefficient of variation (population) = 30.170 Coefficient of variation (sample) = 31.309 (2, 3 pts ea) Verbally describe the shape of the distribution based upon your calculated skewness and excess kurtosis: (a) First, describe it using the appropriate technical terms from the following list: platykurtic, mesokurtic, leptokurtic, skewed left, symmetric, skewed right. The data is skewed right and leptokurtic (b) Second, describe it verbally like you would to a liberal arts major. The data has a distribution that is pointier than the bell-curve (normal distribution) with a longer tail to the right than to the left. (3, 3 pts ea) The mean and median both estimate the "average" of a sample. In 2013 the US mean and median household incomes were approximately $73,767 and $52,250 respectively. (a) What does the difference between the mean and median imply for the distribution of incomes in the US? (Use the term "skew" correctly in your answer) The distribution is skewed right, there are a few people making a TON of money while most people make less than the mean (b) Which measure do you think is more relevant and why? Two answers are valid. You can argue that the mean makes more sense because multiplying it by the number of people gives the size of the overall economy. You could also argue that the median is better because it gives you a sense of what the income of a "typical" person. Bio 260 (Sp17) Assignment #2 Form C, Due Feb 2 Name:_________________ Provide answers only in space provided, do not attach additional sheets. Write clearly to ensure full credit for your answers. Write the first letter of your surname in box above. (4, 3 pts ea) PUT THE CORRECT ANSWER CHOICE ON THE BLANK TO THE RIGHT Use the following information for the next two questions: PERCENT CHANGE IN DOLLAR AMOUNT OF SALES IN CERTAIN RETAIL STORES FROM 1977 TO 1979 Store P Q R S T From 1977 to 1978 +16 +13 +18 +12 +15 From 1978 to 1979 -7 -7 -7 -5 -5 (a) In 1979, for which of the stores was the dollar amount of sales greater than that of any of the others shown? (A) Store P (B) Store Q (C) Store R (D) Store S ________ (E) It cannot be determined from the information given. (b) In store R, the dollar amount of sales for 1979 was approximately what percent of the dollar amount of sales for 1977? (A) 105.1% (B) 106.4% (C) 107.9% (D) 109.3% ________ (E) 109.7% Use the following information for the next four questions: PROFILE OF CONGRESS IN YEAR X House of Representatives Party 292 Democratic 143 Republican 435 TOTAL Gender 418 Male 17 Female Age 27 Youngest 77 Oldest 48 Mean Religion 255 Protestant 107 Catholic 18 Jewish 4 Mormon 51 Other Ethnic Group 17 Black American 2 Asian American 4 Hispanic American Senate House of Representatives 62 38 100 215 81 45 14 22 24 100 0 34 80 54 2 1 0 6 69 12 5 3 11 25 Senate Profession Lawyer Bus. Exec. or banker Educator Farmer/rancher Career Gov't Journalist or Comm. Exec. Physician Veterinarian Geologist Worker/skilled Tradesperson Other 63 15 6 6 0 4 0 1 2 0 3 1 3 0 (c) In the Senate, if 33 male members were replaced by 33 female members, the ratio of male members to female members would be (A) 4 to 1 (B) 3 to 1 (C) 3 to 2 (D) 2 to 1 (E) 1 to 1 (d) Approximately what percent of the members of Congress are lawyers? (A) 58% (B) 63% (C) 56% (D) 49% (C) 69 (D) 31 (C) 3 (D) 0 ________ (E) 21 (f) If all lawyers and all women in the House of Representatives vote for the passage of a bill, how many more votes will be needed for a majority? (A) 435 (B) 220 ________ (E) 52% (e) If 5 senators are Catholic Democrats, how many senators are neither Catholic nor Democratic? (A) 79 (B) 74 ________ (E) It cannot be determined from the information given. ________