## Question

###### Your manager has collected some data regarding spare time of workers in minutes from a sample...

## Answers

1)

Answer:

Explanation:Since the

population standard deviationisnot known, thet distributionis 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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