On the left is track lap data from 12 September 2004 and Tuesday evening, 29 November 2011. The data is the time in minutes to complete one lap of the track in lane three while running and juggling. For this data run an independent samples t-test for a difference in the mean lap time to determine if Lee Ling has slowed down over the past seven years from 45 to 52 years old.
__________ Calculate the sample mean x for the 2004 lap time data.
__________ Calculate the sample mean x for the 2011 lap time data.
_____________ What is the p-value? Use the data on the left in an independent samples TTEST function with two tails to determine the p-value for this two sample data.
_____________ Are the sample means statistically significantly different at a risk of a type I error alpha α = 0.05?
_____________ Would we fail to reject| or |reject a null hypothesis of no difference in the sample means at a risk of a type I error alpha α = 0.05?
_____________ What is the maximum level of confidence we can have that the difference in the means is statistically significant?
_____ Is Lee Ling slower at 52 than he was at 45?
Chapter 4: Data on the right
The data on the right in the split time in minutes versus the split distance in meters from the 23 laps run on the evening of 29 November. This is xy scattergraph paired data.
__________ Determine the sample size n for the data on the right.
__________ Determine the slope.
__________ Determine the intercept.
__________ Determine the correlation coefficient r.
__________ Determine the coefficient of determination.
__________ Based on the slope and intercept, calculate the length of time for Lee Ling to joggle a 21000 meter half marathon.