Question
The following data shows the results of womens 200m training camp. Each value below is the time (in seconds) taken on a single 200m lap
The following data shows the results of women’s 200m training camp. Each value below is the time (in seconds) taken on a single 200m lap by each athlete.
30.2 | 30.1 | 29.8 | 29.9 | 30.1 | 30 | 30.2 |
30 | 30.1 | 30 | 29.7 | 30.4 | 30.2 | 29.8 |
30.2 | 30.5 | 29.9 | 30 | 29.9 | 29.7 | 30.1 |
30 | 30.2 | 30.2 | 30.2 | 30.3 | 29.3 | 29.7 |
30.7 | 29.6 | 30 | 29.8 | 29.4 | 30.2 | 29.9 |
29.9 | 30 | 30 | 29.9 | 30 | 29.9 | 29.8 |
29.8 | 30.1 | 29.9 | 30.6 | 30.2 | 29.7 | 29.7 |
30.1 | 30 | 29.9 | 30.5 | 30.3 | 29.9 | 30.3 |
30.1 | 29.9 | 30.2 | 30 | 30 | 30.1 | 30.1 |
29.9 | 30 | 29.6 | 30.2 | 30.1 | 30 | 30 |
30 | 29.9 | 30 | 30 | 29.9 | 30.1 | 30.4 |
30.1 | 29.8 | 29.9 | 30.1 | 29.8 | 30.5 | 30.3 |
30.5 | 29.9 | 30.1 | 30.1 | 29.8 | 29.9 | 30.2 |
30.2 | 29.9 | 30.2 | 30.3 | 29.9 | 30.4 | 30.4 |
30.1 | 29.7 | 29.7 | 30 | 29.7 | 30.3 | 30 |
1.) What is the best graph to use to determine the distribution of frequencies? Explain and draw the most suitable graph for the above data. Explain the distribution that data follows.
The world standard is to reach 30 seconds and the range for acceptance is [29.5;30.50].
2.) Calculate the Central Measures of Location and the Statistical Measures of Spread or Dispersion and determine if this training group is on par with world standards. What do you conclude about the variability of the athlete results?
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Solution In cases where population variance is unknown the One Samplet Test is used to evaluate whether the sample mean differs statistically from a k...Get Instant Access to Expert-Tailored Solutions
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