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

Question 96

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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: a) H0:μ=250H _ { 0 } : \mu = 250 versus H1:μ250H _ { 1 } : \mu \neq 250
b) H0:μ250H _ { 0 } : \mu \geq 250 versus H1:μ<250H _ { 1 } : \mu < 250
c) H0:μ250H _ { 0 } : \mu \leq 250 versus H1:μ>250H _ { 1 } : \mu > 250
d) H0:μ257.3H _ { 0 } : \mu \geq 257.3 versus H1:μ<257.3H _ { 1 } : \mu < 257.3

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