STATS MIDTERM

Match the terms and definitions. Drag and drop options on the right-hand side and submit. Mean Median Standard deviation 25th percentile 75th percentile Interquartile range (IQR) Variance For keyboard navigation... SHOW MORE v Computed by finding the sum of all values and = v dividing by the number of observations The middle value in a set of numerical data. v Equivalent to the 50th percentile. The typical deviation from the mean in a set of v numerical data. The value such that 25% of all observations are ..... = \/ less than that value. The value such that 75% of all observations are v less than that value. The difference between the 75th and 25th = v percentiles. = The value of the standard deviation squared. v The contingency table shown below (pg. 62) provides relative information regarding homeownership type (rent, mortgage, own) and the application type of a loan applied for (individual or joint). What does the value 0.138 represent in the contingency table below? 1 the following terms to their definition. rent mortgage own Total 1d drop options on the right-hand side and submit. For keyboard navigation... SHOW MORE v individual 0.411 joint 0.242 0.451 0.635 10.138] 0.122 1.000 1 OOO An individual (usually displayed in a dataset as a Total 0.386 0.479 0.135 row) that is described by data. Observational unit —] 1.000 Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 0.138is the proportion of homeowners that apply for an individual loan. b 0.138is the proportion of individuals applicants that own their home. ¢ 0.138is the proportion of homeowners in the entire dataset. d 0.138is the proportion of individual applicants in the entire dataset. Correct Answer: v/ b - 0.138 is the proportion of individuals applicants that own their home. A characteristic that describes an observational Variable — = unit. Avariable based on a quality assigned to a Categorical variable — = Vv category. Avariable that takes on a range of numerical Numerical variable — = v values.

Some of the variables from the county dataset are listed below. Which variables are categorical? Select all that apply. Correct Answers: Events Aand B are v/ a - state v d - metro v € - median_edu a independent. v h - smoking_ban b disjoint. ¢ complements. d conditional. Correct Answer: v/ b - disjoint. Consider two events, A and B. The probability of "A and B" refers to Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a Aoccurring, but B not occurring. b Boccurring, but A not occurring. Consider two events, A and B. The probability that both Aand B occuris 0. That is, P(Aand B) = 0. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. Consider two events, A and B. The probability that "A or B occurs" refers to Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a Aoccurring, but B not occurring. b Boccurring, but A not occurring. ¢ BothAand B occurring. d Onlyone of two events occurring. e OnlyA occurring, only B occurring, or both Aand B occurring. Correct Answer: v e - Only A occurring, only B occurring, or both A and B occurring. The notation P(A|B) refers to Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. ¢ BothAand B occurring. a the probability that both A and B occur. d Only one of the two events occurring. b the probability that only A occurs (i.e. B does not occur). e OnlyAoccurring, only B occurring, or both Aand B occurring. ¢ the probability that A occurs given B occurs. d the probability that B occurs given A occurs. Correct Answer: v/ ¢ - BothAand B occurring. Correct Answer: ¢ - the probability that A occurs given B occurs.

Suppose you roll two fair six-sided dice. Let A represent the event that neither die rolled shows an odd number. What is the complement of A? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. At least one of the two dice rolled shows an odd number. v Your answer b Both of the dice rolled show an odd number. ¢ Exactly one of the two dice rolled shows an odd number. d Neither of the dice rolled show an odd number. Consider rolling one fair six-sided die. Each option below describes two events that may occur when the die is rolled. Which pairs of events are disjoint? @ Multiple answers: Multiple answers are accepted for this question Select one or more answers and submit. For keyboard navigation... SHOW MORE v a Rolling an odd number and rolling a three. Rolling an odd number and rolling an even number. v Your answer ¢ Rolling a prime number and rolling an even number. Rolling a4 and rolling a 5. < Your answer Consider rolling one fair six-sided die. Let A=rolling an odd number and B = rolling a prime number. What is the probability of A or B occurring? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a 1/2 b 1 c 1/3 2/3 v Your answer

The American Community Survey is an ongoing survey that provides data every year to give communities the current information they need to plan investments and services. The 2010 American Community Survey estimated that 14.6% of Americans live below the poverty line, 20.7% speak a language other than English at home, and 4.2% fall into both categories. True or False: Living below the poverty line and speaking a foreign language at home are disjoint events. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a True v False Your answer 1) Chance it is not defective is =1- P(def) =1-0.05 =0.95 Answer:- 0.95 2) P( from facility 2 and defective ) =P(facility 2)*P(defective in facility 2) =0.39*0.04 =0.0156 Answer:- 0.0156 @ Cumulatve demity fumction : RS FO= P(X & = & fOO dx \ * _ = S 3% 46‘)\ \ 4 Yk - 3\:::;‘ \ > o T~y -3 \— %