Final answer:
A hypothesis test using the data from Lap 1 indicates that with an alpha of 0.05 and a p-value less than alpha, the null hypothesis is rejected, suggesting there is a significant difference in the mean lap times between races and practices.
Step-by-step explanation:
To determine if the mean time for completing a lap in races is the same as in practices, a hypothesis test is conducted using the data from Lap 1. The hypothesis testing procedure is as follows:
- Null hypothesis (H0): The mean lap time for races and practices is the same.
- Alternative hypothesis (Ha): The mean lap time for races is different from that for practices.
- Selection of a significance level (alpha), which is 0.05 in this case.
- We make a decision to reject or not reject the null hypothesis based on whether the p-value is less than alpha.
- If the p-value is less than alpha, we reject the null hypothesis, indicating that there is a significant difference between the mean lap times for races and practices.
Based on the given information:
- Alpha: 0.05
- Decision: Reject the null hypothesis.
- Reason for Decision: p-value < alpha
- Conclusion: There is sufficient evidence at the 5 percent significance level to suggest that the mean time for completing a lap in races is different from that in practices.