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Problem 3: A swiss watch company is testing the accuracy of its new watch. The accuracy...

Problem 3: A swiss watch company is testing the accuracy of its new watch. The accuracy required is that the time should not be off by more than 1 millisecond after 100 days. After 4 trial measurements, the number of milliseconds the watch deviated from the precision time: 0.95, 1.02, 1.01, 0.98. Assume that the number of milliseconds off from the precise time follows the normal distribution with mean μ.
(a) Find a 95% confidence interval for μ.
(b) Can the company claim with 5% significance level that the its new watch is precise to the level of 1 millisecond after 100 days?

Math   Statistics-And-Probability   
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