Question

4,6.3 Hypothesis testing potheses, Part I. Write the null and alternative hypotheses in words and ls for each of the following situations Ney York is known as "the city that never sleeps". A random sample of 25 New Yorkers were New Yorkers on average sleep less than 8 hours a night (o asked how much sleep they get per night. Do these data provide convincing evidence that as (6) Employers at a firm are worried about the effect of March Madness, a basketball held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of company time checking personal email, making personal phone calls, etc. They also collect data on how much company time employees spend on such non- business activities during March Madness. They want to determine if these data provide convincing evidence that employee productivity decreases during March Madness.

Answer 1

4.17

a)

H0: New Yorkers on average sleep less than 8 hours a night.

vs.

H1: New Yorkers on average do not sleep less than 8 hours a night.

b)

H0: Employee productivity decreases during March Madness.

vs.

H1: Employee productivity does not decrease during March Madness.

4.30

a)

H0: Regulations are not being met.

vs.

H1: Regulations are being met.

b)

A Type I error in this context is concluding that regulations are being met, even though they are not.

c)

A Type II error in this context is concluding that regulations are not being met, even though they are.

d)

Type II error is more problematic for the restaurant owner.

This is because his license to serve food will be revoked even though he's maintaining regulations.

e)

Type I error is more problematic for the diners.

This is because they will be misled into thinking that the sanitary conditions are good, when they are not.

f)

Strong evidence.

As a diner, the primary concern is health, hence any evidence of unsanitary conditions would not be attractive.