Question
We consider this question in the context of the Cherry Blossom Race, which is an annual road race that takes place in Washington, DC each
We consider this question in the context of the Cherry Blossom Race, which is an annual road race that takes place in Washington, DC each spring.
The average time for all runners who finished the Cherry Blossom Race in 2006 in a 10-mile race was 93.29 minutes (93 minutes and about 17 seconds). Our objective is to determine, based on data from 100 randomly selected 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.
The dataset run17 originates from R package 'cherryblossom', encompassing details for all 19,961 runners who participated in the 2017 Cherry Blossom Race. Predominantly, participants engage in a 10-mile run, with a small fraction opting for a 5k run or walk.
Measure | |
Pulling sample | |
Descriptive Statistics | |
Hypothesis testing | |
1 | Specify the null and the alternative hypotheses. |
2 | Specify the significance level. |
3 | Select test statistic |
4 | Decision rule: Reject H0 if |the test statistic| > critical value or p-value < |
5 | Calculate the test statistic and the p-value. |
6 | State the conclusion and interpret the results. |
7 | Valid your results using Data>Data Analysis (t-Test: Two-Sample Assuming Unequal Variances) |
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