Question

Listed below are Flesch Reading Ease scores from each of 12 randomly selected pages in Tom Clancy’s

The Bear and the Dragon, J.K. Rowling’s Harry Potter and the Sorcerer’s Stone, and Leo Tolstoy’s War

and peace. Use alpha 0.05 to test the claim that the three books have the same mean Flesch Reading

Ease score. Based on the results, do the three books appear to have the same reading level?

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

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

Answer 1

The test statistic is, F=9.4695

The p-value for the test is 0.0006

Conclusion:

The p-value of F test is less than 0.05. Hence reject H₀ at 5% level of significance and conclude that the three books have the different mean Flesch Reading Ease score. i.e. The three books appear to have the different reading level.