Question

In: Statistics and Probability

1. The average time to run a race is 14 minutes. You wish to see if...

1. The average time to run a race is 14 minutes. You wish to see if a new training regimen will lower the time to run the race. After doing the training regimen you run the race 35 times and the average time to run the race now is 13.32 minutes with a standard deviation of 1.4 minutes.

a) At the .05 level did the training regimen lower the time (note: p value from computer is p = .003)

b) Based on the answer for a) did the training regimen lower the time? (yes or no) Answer:

c) What is the only type of error that could have occurred

Answer:

D) Interpret the p-value: Answer:

E) How do you explain the .68 minutes lowering of the time Answer:

Solutions

Expert Solution


Related Solutions

(14) 1. The average time to run a race is 14 minutes. You wish to see...
(14) 1. The average time to run a race is 14 minutes. You wish to see if a new training regimen will lower the time to run the race. After doing the training regimen you run the race 35 times and the average time to run the race now is 13.32 minutes with a standard deviation of 1.4 minutes. a) At the .05 level did the training regimen lower the time (note: p value from computer is p = .003)...
1. The average time to run a race is 14 minutes. You wish to see if...
1. The average time to run a race is 14 minutes. You wish to see if a new training regimen will lower the time to run the race. After doing the training regimen you run the race 35 times and the average time to run the race now is 13.32 minutes with a standard deviation of 1.4 minutes. a) At the .05 level did the training regimen lower the time (note: p value from computer is p = .003) b)...
5.) The average time to run the 5K fun run is 21 minutes and the standard...
5.) The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.7 minutes. 45 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the distribution of ∑x∑x? ∑x∑x ~ N(,) If one randomly selected runner is timed, find...
The average time to run the 5K fun run is 20 minutes and the standard deviation...
The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.3 minutes. 7 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of X X ? X X ~ N(,) What is the distribution of ¯ x x¯ ? ¯ x x¯ ~ N(,) What is the distribution of ∑ x ∑x ? ∑...
The average time to run the 5K fun run is 21 minutes and the standard deviation...
The average time to run the 5K fun run is 21 minutes and the standard deviation is 2.5 minutes. 13 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the distribution of ∑x∑x? ∑x∑x ~ N(,) If one randomly selected runner is timed, find the...
The average time to run the 5K fun run is 22 minutes and the standard deviation...
The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.5 minutes. 49 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the distribution of ∑x∑x? ∑x∑x ~ N(,) If one randomly selected runner is timed, find the...
You wish to see if there is a difference between the average score of boys and...
You wish to see if there is a difference between the average score of boys and girls on the math SOL. A random sample of 195 boys had an average score of 444.34 with a standard deviation of 45.65. A random sample of 202 girls had an average score of 452.64 and a standard deviation of 37.75. A: Verify the assumptions. B: State the 95% confidence interval for the difference of the average SOL scores. C: Does this interval shows,...
You wish to see if there is a difference between the average score of boys and...
You wish to see if there is a difference between the average score of boys and girls on the math SOL. A random sample of 195 boys had an average score of 444.34 with a standard deviation of 45.65. A random sample of 202 girls had an average score of 452.64 and a standard deviation of 37.75. A: Verify the assumptions. B: State the 95% confidence interval for the difference of the average SOL scores. C: Does this interval shows,...
You wish to see if a difference exists in the average SAT score for students at...
You wish to see if a difference exists in the average SAT score for students at two local colleges. A random sample of 200 students from College A had an average SAT score of 1641.7 with a standard deviation of 28.4. A random sample of 178 students from College B had an average SAT score of 1629.8 with a standard deviation of 25.6. Does this show, at 95% confidence, a difference in the average SAT scores? Be sure to state...
A manager wishes to see if the time (in minutes) it takes for their workers to...
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change when they are allowed to wear ear buds at work. A random sample of 25 workers' times were collected before and after. Test the claim that the time to complete the task has changed at a significance level of α=0.10. For the context of this problem, μd=μafter−μbefore where the first data set represents after and the second data...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT