The population of interest in this scenario is all compact microwave ovens produced by the manufacturer in question. The consumer group is trying to determine if the claim made by the manufacturer—that the mean power consumption for these microwaves is no more than 260 W—is valid. The sample of 20 microwave ovens is used to infer about the entire population of all microwave ovens from this manufacturer.
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 260 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 265 W. The population of interest is
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