Question

In: Statistics and Probability

12.64  Do poets die young? According to William Butler Yeats, “She is the Gaelic muse, for...

12.64  Do poets die young? According to William Butler Yeats, “She is the Gaelic muse, for she gives inspiration to those she persecutes. The Gaelic poets die young, for she is restless, and will not let them remain long on earth.’’ One study designed to investigate this issue examined the age at death for writers from different cultures and genders.21 Three categories of writers examined were novelists, poets, and nonfiction writers. Most of the writers are from the United States, but Canadian and Mexican writers are also included. ( DATA Below)

  1. (a) Use graphical and numerical methods to describe the data.

  2. (b) Examine the assumptions necessary for ANOVA. Summarize your findings.

  3. (c) Run the ANOVA and report the results.

  4. (d) Use a contrast to compare the poets with the two other types of writers. Do you think that the quotation from Yeats justifies the use of a one-sided alternative for examining this contrast? Explain your answer.

  5. (e) Use another contrast to compare the novelists with the nonfiction writers. Explain your choice for an alternative hypothesis for this contrast.

DATA Below:

Type1 Type Age
1 Novels 57
1 Novels 90
1 Novels 67
1 Novels 56
1 Novels 90
1 Novels 72
1 Novels 56
1 Novels 90
1 Novels 80
1 Novels 74
1 Novels 73
1 Novels 86
1 Novels 53
1 Novels 72
1 Novels 86
1 Novels 82
1 Novels 74
1 Novels 60
1 Novels 79
1 Novels 80
1 Novels 79
1 Novels 77
1 Novels 64
1 Novels 72
1 Novels 88
1 Novels 75
1 Novels 79
1 Novels 74
1 Novels 85
1 Novels 71
1 Novels 78
1 Novels 57
1 Novels 54
1 Novels 50
1 Novels 59
1 Novels 72
1 Novels 60
1 Novels 77
1 Novels 50
1 Novels 49
1 Novels 73
1 Novels 39
1 Novels 73
1 Novels 61
1 Novels 90
1 Novels 77
1 Novels 57
1 Novels 72
1 Novels 82
1 Novels 54
1 Novels 62
1 Novels 74
1 Novels 65
1 Novels 83
1 Novels 86
1 Novels 73
1 Novels 79
1 Novels 63
1 Novels 72
1 Novels 85
1 Novels 91
1 Novels 77
1 Novels 66
1 Novels 75
1 Novels 90
1 Novels 35
1 Novels 86
2 Poems 88
2 Poems 69
2 Poems 78
2 Poems 68
2 Poems 72
2 Poems 60
2 Poems 50
2 Poems 47
2 Poems 74
2 Poems 36
2 Poems 87
2 Poems 55
2 Poems 68
2 Poems 75
2 Poems 78
2 Poems 85
2 Poems 69
2 Poems 38
2 Poems 58
2 Poems 51
2 Poems 72
2 Poems 58
2 Poems 84
2 Poems 30
2 Poems 79
2 Poems 90
2 Poems 66
2 Poems 45
2 Poems 70
2 Poems 48
2 Poems 31
2 Poems 43
3 Nonfiction 74
3 Nonfiction 86
3 Nonfiction 87
3 Nonfiction 68
3 Nonfiction 76
3 Nonfiction 73
3 Nonfiction 63
3 Nonfiction 78
3 Nonfiction 83
3 Nonfiction 86
3 Nonfiction 40
3 Nonfiction 75
3 Nonfiction 90
3 Nonfiction 47
3 Nonfiction 91
3 Nonfiction 94
3 Nonfiction 61
3 Nonfiction 83
3 Nonfiction 75
3 Nonfiction 89
3 Nonfiction 77
3 Nonfiction 86
3 Nonfiction 66
3 Nonfiction 97

Solutions

Expert Solution

e)

H0 : Average age at death for writers from different cultures are same
H1 : Some of the average age is different


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