SCENARIO 9-3
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 15 W.A consumer group has decided to try to discover if the claim appears true.They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
-Referring to Scenario 9-3, the appropriate hypotheses to determine if the manufacturer's claim appears reasonable are:

Question

A)$H _ { 0 } : \mu = 250 \text { versus } H _ { 1 } : \mu \neq 250$ 
B)$H _ { 0 } : \mu \geq 250 \text { versus } H _ { 1 } : \mu < 250$ 
C)$H _ { 0 } : \mu \leq 250 \text { versus } H _ { 1 } : \mu > 250$ 
D)$H _ { 0 } : \mu \geq 257.3 \text { versus } H _ { 1 } : \mu < 257.3$

Quizplus · Accepted Answer

The manufacturer claims the mean power consumption is no more than 250 W, so the null hypothesis should state this claim ($\mu \leq 250$). The alternative hypothesis is what the consumer group is trying to prove, which is that the mean power consumption is greater than 250 W ($\mu > 250$).

SCENARIO 9-3 an Appliance Manufacturer Claims to Have Developed a Compact

SCENARIO 9-3
an Appliance Manufacturer Claims to Have Developed a Compact