2. Complete the following sentence: (n) students and found that (x) In our SCC c
ID: 3062050 • Letter: 2
Question
2. Complete the following sentence: (n) students and found that (x) In our SCC class data, we surveyed a TOTAL (males and females) of were left-handed. a. b. Assuming that 15% of the population is left-handed, find the probability of surveying n students and getting exactly x "lefties" (Use the numeric values for n and x from our SCC class data.) c. In chapter 3, we noted that an event that occurs with a probability of 0.05 or less is considered unusual. Is the number of "lefties" (x) in our data unusual? (State yes or no) Assuming that 15% of the population is left-handed and we surveyed a total of (n) students, calculate the mean. Using the mean from part d, should we have expected more or less "lefties" in our SCC class data? d. e.Explanation / Answer
This is a binomial distribution with n = 42, p =0.15 and q = 0.85
(a) We surveyed 42 students and found that 4 are left-handed.
(b) Probability of getting exactly 4 lefties in a population of 42 = C[42,4] x 0.154 x 0.8538 = 0.1178
(c) Since the probability we calculated above is greater than 0.05, this is not unusual.
(d) Mean = n x p = 42 x 0.15 = 6.3
(e) Using mean from part(d), we should have expected more lefties in the classs.
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