The mean time for the 100-meter dash for men in the last 2 summer Olympic games was 10.5 seconds. The following is a sample from the last major competition: 12.01 11.07 11.03 11.24 10.86 10.83 10.61 10.82 10.35 10.36 10.32 10.45 10.53 10.23 9.95 10.14 10.06 10.25 9.99 9.92 9.96 a) Find the t-score. Round to 3 decimal places. b) Tell if it is unusual or not unusual.
Added by Yolanda N.
Step 1
To find the sample mean, we sum up all the values in the sample and divide by the number of values. Sum of the sample = 12.01 + 11.07 + 11.03 + 11.24 + 10.86 + 10.83 + 10.61 + 10.82 + 10.35 + 10.36 + 10.32 + 10.45 + 10.53 + 10.23 + 9.95 + 10.14 + 10.06 + 10.25 + Show more…
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Use a graphing calculator to find the mean and the population standard deviation (in seconds) of the race times in the following table. (See Example 4 in this section. Round your answers to the nearest thousandth.) Men's 400-Meter Dash Results, in Seconds 49.4 49.2 53.2 50.0 48.2 49.6 47.6 47.8 47.2 45.5 46.2 45.9 46.7 45.9 45.1 43.8 44.66 44.26 44.60 45.27 43.87 43.50 43.29 43.84 44.00 43.75 44.94 mean: sec population standard deviation: sec
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Running times for 400 meters are normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and a standard deviation of 16 seconds. Thus, 99.7% of running times are approximately between: a. 45 and 141 seconds. b. 61 and 125 seconds. c. 77 and 109 seconds. d. None of the above
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