A researcher is comparing the effectiveness of two sets of instructions for assembling a child’s bike. A sample of eight fathers is obtained. Half of the fathers are given one set of instructions and the other half receives the second set. The researcher measures how much time is needed for each father to assemble the bike. The scores are the number of minutes needed by each participant. Instruction Set I Instruction Set II 8 14 4 10 8 6 4 10 Is there a significant difference in time for the two sets of instructions? Use a two-tailed test at the .05 level of significance. What is the computed value? What would be the null hypothesis in this study? What would be the alternate hypothesis? What probability level did you choose and why? What is your p-value? Is there a significant difference between the two groups? Interpret your answer. If you have made an error, would it be a Type I or a Type II error? Explain your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A researcher is comparing the effectiveness of two sets of instructions for assembling a child’s bike. A sample of eight fathers is obtained. Half of the fathers are given one set of instructions and the other half receives the second set. The researcher measures how much time is needed for each father to assemble the bike. The scores are the number of minutes needed by each participant.

Instruction Set I

Instruction Set II

8

14

4

10

8

6

4

10

  1. Is there a significant difference in time for the two sets of instructions? Use a two-tailed test at the .05 level of significance.
  2. What is the computed value?
  3. What would be the null hypothesis in this study?
  4. What would be the alternate hypothesis?
  5. What probability level did you choose and why?
  6. What is your p-value?
  7. Is there a significant difference between the two groups?
  8. Interpret your answer.
  9. If you have made an error, would it be a Type I or a Type II error? Explain your answer.

 

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