Question

In: Statistics and Probability

Listed below are the estimated the length of one minute without reference to a watch or...

Listed below are the estimated the length of one minute without reference to a watch or clock, and the times were recorded in seconds.

69, 81, 39, 65, 42, 21, 60, 63, 66, 48, 64, 70,

96, 91, 65, 35, 47, 54, 52, 30, 60, 61,

1. Assume that the values are sample data, construct a 99% confidence interval to estimate of the population mean

2. Assume that the values are sample data, construct a 99% confidence interval fro the population standard deviation

3. Use a 0.05 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. (Show hypothesis test details, test statistic, decision making, and conclusion)

Solutions

Expert Solution

for the given data

mean = 58.136364

variance = 339.9329

s.d = 18.4373

( 1 )

( 2 )

( 3 )

Conclusion

It is concluded that the null hypothesis Ho is not rejected. Therefore there is enough evidence to claim that   these times are from a population with a mean equal to 60 seconds at the 0.05 significance level.

orchestra answered 1 year ago
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