(a) New York is known as "the city that never sleeps". A random sample of 25 New Yorkers were asked how much sleep they get per night. Do these data provide convincing evidence that New Yorkers on average sleep less than 8 hours a night?
In symbols, the hypotheses are:
Hoc \mu <8
ŠŠ°: \mu =8
Ho: \mu =8
ŠŠ°; \mu =7
ŠŠ°Ń \mu =8
Ha: \mu =8
ŠŠ°Ń \mu =8
Hay: p=8
(b) Employers at a firm are worlied about the effect of March Mashess, a baskectall champlonship held each spring in the US, on employee productivity. They estimate that on a regular business day employees spend on average 15 minutes of compuny time checking personal emall, making personal phone calls, etc. They also collect data on how much company time employees spend on such non. businest activities during March Madness. They wart to determine if these data provide convincing evidence that employee productivity decreases during March Madnets, (assume that p is used to measure productivity rather than time wasted)
In symbols, the hypotheses are:
Ho: Wrepiar " Herch nuovern
Ha: Houses "Huton Nublem
Ho: Hripler " Fluron Hablem
Ha: Hrepler " Heroch Natreu
Hoc Morgise " Harch matrent
Hai Wroter = Wherh matreu
Hoc Hepeur