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The average time taken by a sample of 68 runners to complete a 10km race was...

The average time taken by a sample of 68 runners to complete a 10km race was 42 minutes. Assuming a population standard deviation of 8.65 minutes, construct a 99% confidence interval for the true average time taken by all runners to complete the race. Interpret your answer. (6)

Confidence Level

Z - Limits

90%

± 1.645

95%

±1.96

99%

±2.58

math   Statistics-And-Probability   
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Answer #1

Given, Sample size = n= 68 Sample mean =* = 42 minutes population standard deviation co=8.65 minutes Á 99% confidence level lA 99% confidenie internal for M is *-(24) () <M = x + (24) (0) 42-(2.58 /8.65 1 768 CM < 42+ (2.580/8.65 (168) 42- 2.71 s M s

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