Research Question Is the typical US runner getting faster or slower over time?
The average time for all runners who finished the Cherry Blossom Race in 2006 was 93.29 minutes (93 minutes and about 17 seconds). We want to determine using data from 100 participants in the 2017 Cherry Blossom Race whether runners in this race are getting faster or slower, versus the other possibility that there has been no change.
a)What parameter are the researchers trying to learn more about?
Expected average time =
d)Suppose we take a sample of 100 runners from the 2017 race, and find that the average finishing time is \bar{x} = 98.78xˉ=98.78 minutes, with a standard deviation of s = 16.59s=16.59 minutes.
Using this data, what is our best estimate for the standard error of the sampling distribution for bar xˉ?
SE =
e)Find the test statistic for our hypothesis test.
f)Find the P-value for this hypothesis test.
g)What conclusions can we make at the α=0.05 significance level?
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The answer provided for step two is showing as incorrect in my class. Is there a different answer it could be?
The answer provided for step two is showing as incorrect in my class. Is there a different answer it could be?
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