Question

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 parameter of interest is


the mean power consumption of the 20 microwave ovens.


the mean power consumption of all such microwave ovens.


260.


265.

Answers

GPT-4o mini
The parameter of interest in this context is:

**the mean power consumption of all such microwave ovens.**

This is because the consumer group is trying to determine if the manufacturer's claim about the mean power consumption of all microwave ovens (not just the sample of 20) is true. The mean of the sample (265 W) is used to make inferences about the broader population mean (which the manufacturer claims is no more than 260 W).