(Round all intermediate calculations to at least 4 decimal places.) John Daum an
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(Round all intermediate calculations to at least 4 decimal places.) John Daum and Chris Yin are star swimmers at a local college. They are preparing to compete at the NCAA Division ll national championship meet, where they both have a good shot at earning a medal in the men's 100-meter freestyle event. The coach feels that Chris is not as consistent as John, even though they clock about the same average time. In order to determine if the coach's concern is valid, you clock their time in the last 20 runs and compute a standard deviation of 0.85 seconds for John and 1.20 seconds for Chris. It is fair to assume that clock time is normally distributed for both John and Chris. Let the clock time by John and Chris represent population 1 and population 2, respectively. Use Table 4 a. Select the hypotheses to test if the variance of time for John is smaller than that of Chris. b-1. Calculate the value of the test statistic. Remember to put the larger value for sample variance in the numerator. (Round your answer to 2 decimal places.) Test statistic b-2. Calculate the critical value at the 10% level of significance. (Round your answer to 2 decimal places.) Critical value b-3. Interpret the results. Reject Ho; we can say that the variance of time for John is smaller than that of Chris Reject Ho; we cannot say that the variance of time for John is smaller than that of Chris Do not reject Ho: we can say that the variance of time for John is smaller than that of Chris Do not reject Ho; we cannot say that the variance of time for John is smaller than that of Chris c. Who has a better likelihood of breaking the record at the meet? Chris JohnExplanation / Answer
Ans:
a)second option is correct.
b-1)Test staistic:
F=s2^2/s1^2=1.2^2/0.85^2=1.99
b-2)
critical value=FINV(0.1,19,19)=1.82
b-3)As,F=1.99>1.82,we Reject H0.
We can say that the variance of time for john is smaller than that of chris.
(first option is correct)
c)As,john is more consistent or less variability,he is more likely to breakk the record at the meet.
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