Question
Your manager has collected some data regarding spare time of workers in minutes from a sample...
Your manager has collected some data regarding spare time of workers in minutes from a sample of 20 workers. The average spare time is 7 minutes with the sample standard deviation of 2 minutes 1. Construct the 90% confidence interval of spare time in the factory. 2. How confident are you that the average spare time is within the range that you found?
Answers
1)
Answer:
Explanation:
Since the population standard deviation is not known, the t distribution is used to construct the confidence interval for the mean spare time,
The confidence interval for the mean spare time is obtained using the following formula,
The t critical value is obtained from t distribution table for significance level = 0.10 and degree of freedom = n -1 = 20 - 1 = 19. In excel use function =T.INV.2T(0.1,19).
now,
2)
Answer:
We are 90% confident that the mean spare time will lie between 6.2267 and 7.7733 minutes.
Explanation:
For a 90% confidence interval, we are 90% confident that the mean spare time will lie between 6.2267 and 7.7733 minutes such that if we do repeated measures, then there will be 90% chance that the mean spare time will lie in this range.
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