Question
multiple choice statistics
1 In e following multiple choice questions, circle the correct Marks T points) 1) Which of the following is the example of qualitative data? a) The temperature (in degrees Celsius) at which each unit in a sample of 20 pix ol heat-resistant plastic begins lo melt b) The scores of a sample of 150 MBA applicants on the GMAI, a standardized business graduale school entrance exam administered wide c) The current unemployment rate (measured as a percentage) for each of e50 states d) The size of a car subc Dl. compact, mid-size, nin lull-size) rented by each of a sample of 30 business aavelers 2) lollowing is a sample of age data for individuals working at home 19 32 20 49 22 32 30 17 50 30 21 33 56 18 25 he first and third quartile are S a) 20.5, 40.5 b) 20, 44 c) 22, 49 d) 21.5, 48 3) An investor in wheat Iulures is curicerned with the Iollowing events REITUS. production of wheat will be able riext year] A HA serious drought will occur next yeart ased on available inlormation, he investor believes hal he probability is 0.01 that production of wheat will be profitable assuming a serious drought will occur, in the same year and that the probability is .05 that a serious drought will occur. That is a) 0.0002 b) 0.0005 0.2 CD 5 l) consider the experiment ol tossing a lair die and let A Observe an even number R- Observe a numher less than or equal to 1 Which of the following statement is true? a) A and B are mutually exclusive. b) A is the complement R c) A and B are independent events 5) if we are interested in the number of arrivals at a fast food restaurant in one hour. Assume he probability ni a car arriving is lhe same lor any Lwo tirne perinois of equal length and that the arrival or nonarnival ol a car in any time period is independent of the arrival or nonarrival in any other lime period. then he number ol arrivals may lolluw the dis a) Uniform distribution b) Binomial distribution distribu d) Norm al distrib
Explanation / Answer
Variables can be differentiated as qualitative variables and quantitative variables. Qualitative variables (also known as categorical variables) are those that express a qualitative attribute such as hair colour, eye colour, religion, favourite movie, gender, and so on. The values of a qualitative variable do not imply a numerical ordering. Quantitative variables are those variables that are measured in terms of numbers. Some examples of quantitative variables are height, weight, and shoe size.
As here size of the car is not given in terms of number but rather as categories; subcompact, compact etc., size of car is example of qualitative variable. All the other options are measured in numeric terms hence quantitative.
2. A) 20.5, 46.5
Quartiles are set of three points which divide a data set into four parts.
The first quartile is the middle number between smallest number and median of the dataset. The second quartile (Q2) is the median of the data. The third quartile (Q3) is the middle value between the median and the highest value of the data set.
Given data set
17
18
19
20
21
22
25
30
32
33
39
44
49
50
52
56
There are 16 observations ; first quartile is the median of first half of the data set (17 18 19 20 21 22 25 30) i.e, 20.5
Third quartile is the median of second half of the dataset ( 32 33 39 44 49 50 52 56) i.e, 46.5
17
18
19
20
21
22
25
30
32
33
39
44
49
50
52
56
