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 |
- State the null and alternative hypotheses and the level ofsignificance you intend to use.
Ho: P=0
H1: P¹0
a=0.05
- Write the equation for the appropriate test statistic.
- 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
- Compute the test statistic by hand.
- What is your conclusion about the null hypothesis and theresearch question? Be sure to comment on the magnitude anddirection of the association.
