Each year ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs a warranty-related (yes or no) and the country in the company manufacturing a car is based (United States or not United states). Based on the data collected, the probability that the new car needs a warranty repair and was manufactured by a U.S based company is 0.025. Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random a. needs a warranty repair? b. needs a warranty repair and was manufactured by a U.S.-based company? c. needs a warranty repair or was manufactured by a U.S.-based company? d. needs a warranty repair or was not manufactured by a U.S.-based company?
Each year ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs a warranty-related (yes or no) and the country in the company manufacturing a car is based (United States or not United states). Based on the data collected, the probability that the new car needs a warranty repair and was manufactured by a U.S based company is 0.025. Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random a. needs a warranty repair? b. needs a warranty repair and was manufactured by a U.S.-based company? c. needs a warranty repair or was manufactured by a U.S.-based company? d. needs a warranty repair or was not manufactured by a U.S.-based company?
Solution Summary: The author explains how ratings are compiled concerning the performance of new cars. The probability of the car needing a warranty-related repair and being manufactured in the U.S.
Each year ratings are compiled concerning the performance of new cars during the first 90 days of use. Suppose that the cars have been categorized according to whether a car needs a warranty-related (yes or no) and the country in the company manufacturing a car is based (United States or not United states). Based on the data collected, the probability that the new car needs a warranty repair and was manufactured by a U.S based company is 0.025.
Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random
a. needs a warranty repair?
b. needs a warranty repair and was manufactured by a U.S.-based company?
c. needs a warranty repair or was manufactured by a U.S.-based company?
d. needs a warranty repair or was not manufactured by a U.S.-based company?
Definition Definition Visual representation of the relationship between two or more categorical variables. A contingency table is a categorical version of the scatterplot, which is used to visualize the linear relationship between two variables.
The following table shows the IQs of 480 elementary school children. Determine the
four moments (mean, standard deviation, asymmetry, and skewness).
Class mark (X) 70
74
78
82
86 90
94
98
102 106 110 114 118 122 126
Frequencies (f) 4
9
16
28
45
66
85
72
54 38 27 18 11 5 2
Calculate the respective coefficients of variation. Compare the results in each
problem:
Pulse Rates Listed below are the pulse rates (beats per minute) for samples of adult men
and women (from Data Set 1 "Body Data" in Appendix B). Does there appear to be a
difference?
Men: 86 72 64 72 72 54 66 56 80 72 64 64 96 58 66
Women: 64 84 82 70 74 86 90 88 90 90 94 68 90 82 80
Lines at the Bank Customer wait times (in seconds) at the Madison Savings Bank are
recorded using two configurations: single customer line; individual customer lines.
Single Line 390 396 402 408 426 438 444 462 462 462
Individual Lines 252 324 348 372 402 462 462 510 558 600
The following ordered data listing shows the data rates for cellular phones for a telephone
company at an airport.
a) Calculate the measures of central tendency for the list of unclustered data.
b) group the data in an appropriate frequency table.
c) calculate the measures of central tendency using the table resulting from b).
0.8
1.4
1.8
1.9
3.2
3.6
4.5
4.5
4.6
6.2
6.5
7.7
7.9
9.9
10.2
10.3
10.9
11.1
11.1
11.6
11.8
12.0
13.1
13.5
13.7
14.1
14.2
14.7
15.0
15.1
15.5
15.8
16.0
17.5
18.2
20.2
21.1
21.5
22.2
22.4
23.1
24.5
25.7
28.5
34.6
38.5
43.0
55.6
71.3
77.8
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License