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Normal Quantile Plot The accompanying normal quantile plot was obtained from the Flight 19 departure delay times. What does this graph tell us?

Short Answer

Expert verified

The observations do not form a linear pattern, fall on a straight line. Thus the graph implies that the observations for flight 19 are not taken from a normal distribution.

Step by step solution

01

Given information

The flight 19 departure delay times are depicted on a normal quantile plot.

02

Describe a normal quartile plot

The green straight line is depicted in the graph along with the dots, which represent the observation of departure delay times for flight 19.

The quartile plot represents the z-scores versus observations.

The inference from the quartile plot:

  • If the observations follow a straight line pattern, the observations are inferred to be taken from a normal population.
  • If the observations do not follow a straight line or follow a curvilinear pattern, the observations are inferred not to be taken from a normal population.
03

Infer the result from the plot

As the observations do not follow close to straight-line patterns, it can be inferred the observations are not taken from a normal distribution.

Also, as one observation lies to the extreme end, it can be determined that there exists an outlier in the data set.

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Most popular questions from this chapter

In Exercises 1–5, refer to the following list of departure delay times (min) of American Airline flights from JFK airport in New York to LAX airport in Los Angeles. Assume that the data are samples randomly selected from larger populations.

Flight 3

22

-11

7

0

-5

3

-8

8

Flight 19

19

-4

-5

-1

-4

73

0

1

Flight 21

18

60

142

-1

-11

-1

47

13

Exploring the Data Include appropriate units in all answers.

a. Find the mean for each of the three flights.

b. Find the standard deviation for each of the three flights.

c. Find the variance for each of the three flights.

d. Are there any obvious outliers?

e. What is the level of measurement of the data (nominal, ordinal, interval, ratio)?

Pages were randomly selected by the author from The Bear and the Dragon by Tom Clancy, Harry Potter and the Sorcerer’s Stone by J. K. Rowling, and War and Peace by Leo Tolstoy. The Flesch Reading Ease scores for those pages are listed below. Do the authors appear to have the same level of readability?

Clancy

58.2

73.4

73.1

64.4

72.7

89.2

43.9

76.3

76.4

78.9

69.4

72.9

Rowling

85.3

84.3

79.5

82.5

80.2

84.6

79.2

70.9

78.6

86.2

74.0

83.7

Tolstoy

69.4

64.2

71.4

71.6

68.5

51.9

72.2

74.4

52.8

58.4

65.4

73.6

Pulse Rates If we use the data given in Exercise 1 with two-way analysis of variance, we get the accompanying display. What do you conclude?

Cola Weights The displayed results from Exercise 1 are from one-way analysis of variance. What is it about this test that characterizes it as one-way analysis of variance instead of two-way analysis of variance?

In Exercises 5–16, use analysis of variance for the indicated test.

Triathlon Times Jeff Parent is a statistics instructor who participates in triathlons. Listed below are times (in minutes and seconds) he recorded while riding a bicycle for five stages through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill?

Mile 1

3:15

3:24

3:23

3:22

3:21

Mile 2

3:19

3:22

3:21

3:17

3:19

Mile 3

3:34

3:31

3:29

3:31

3:29

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