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In: Statistics and Probability

The table below will be used for the following five questions. The table represents the mean...

The table below will be used for the following five questions. The table represents the mean and standard deviation graduation rates, by candidate age, for a population of flight academies. ( No more data was provided). If you only know one method to solve a problem, please don't add a comment asking for more data!

Age

Mean Graduation Rate

Standard Deviation

16

76.6

1.8

17

74.2

1.8

18

79.5

1.7

19

79.6

2.1

20

81.2

2.1

21

84.2

2.2

22

85.5

2.1

23

88.5

1.4

24

86.5

1.5

25

87.7

1.9

26

87.8

1.5

27

88.1

1.6

28

89.8

1.8

29

90.1

1.8

30

87.8

2.3

31

88.3

2.2

32

88.3

1.7

33

84.5

1.9

34

85.1

1.6

35

88.1

1.4

36

88.2

1.5

37

86.5

1.4

38

84.5

1.8

39

88.8

1.9

40

84.4

1.6

1)A flight academy boasts it is among the top 10% for graduation rates among its 25-year old candidates. This academy’s graduation rate is 89.1 over the last two years for 25-year old candidates. Is the claim that this flight academy is in the top 10% a true statement? Explain.

2)A flight academy wants to invest in new training methods to improve its graduation rate of 18-year old candidates. This academy’s graduation rate for 18-year old candidates is 82.6 for the past ten years. Should the academy invest in the new training methods? Explain.

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