For an internet provider, it is claimed that the average time it takes a technic

Question

For an internet provider, it is claimed that the average time it takes a technician to and setup internet at a new location is 30 minutes. The population standard deviation is known to be sigma = 10 minutes. For quality control, each week a randomly selected technician is audited to see if there installation time is running longer than the claimed 30 minutes, on average. Below are 5 randomly selected installation times from an audited technician. Assume the population is normally distributed. 36.5 44.1 27.6 31.4 28.9 When the population standard deviation is known, the critical value in a 90% confidence interval for mu is: 2.0 1.96 2.576 1.645

Explanation / Answer

here since population variance is known we use the normal distribution to estimate the critical value.

so given level of significance is 0.1

so the critical value is 1.645, Using the concept that we have a two tail test

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