Compute the 95% confidence interval for the difference between two means. Show your computations for the mean and standard deviation. b. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times. Use hypothesis testing to verify the conclusion at α = 0.05 level of significance. Follow the steps in conducting Hypothesis Testing.
A preschool teacher devised a wooden toy assembly project to test learning in 6-year-olds. The time in seconds
to assemble the project was noted, and the toy was disassembled out of the child’s sight. Then the child was given the task to repeat.
| CHILD | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| TRIAL 1 | 100 | 150 | 150 | 110 | 130 | 120 | 118 | 110 | 100 | 90 |
| TRIAL 2 | 90 | 130 | 150 | 90 | 105 | 110 | 120 | 100 | 90 | 80 |
Assume the distribution of times to be approximately normal.
a. Compute the 95% confidence interval for the difference between two means. Show your computations for the mean and standard deviation.
b. The researcher would conclude that learning occurred if the mean of the second assembly times was less than the mean of the first assembly times. Use hypothesis testing to verify the conclusion at α = 0.05 level of significance. Follow the steps in conducting Hypothesis Testing.
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