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Exercise 1 Is there a linear relationship between the age at which a child first begins to...

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Statistics

Exercise 1

Is there a linear relationship between the age at which a childfirst begins to speak and the child’s later mental ability? A studywas conducted in which the age (in months) at which a child spoketheir first words and the score on an aptitude test as a teenagerwere recorded: PLEASE SHOW WORK

Age

15

26

10

9

15

20

18

11

8

20

Score

95

71

83

91

102

87

93

100

104

94

  1. State the null and alternative hypotheses and the level ofsignificance you intend to use.

Ho: P=0

H1: P¹0

a=0.05


  1. Write the equation for the appropriate test statistic.

  1. What is your decision rule? Be sure to include the degrees offreedom, if appropriate.

DF=10-2=8
Reject the null hypothesis if r > 0.632 or r < -0.632

  1. Compute the test statistic by hand.

  1. What is your conclusion about the null hypothesis and theresearch question? Be sure to comment on the magnitude anddirection of the association.

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