Question

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of less than 300 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 30 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 287.2 W. The consumer group wanted to conduct a hypothesis test about the manufacturer's claim at 0.01 level of significance using a p-value approach. If the p-value is 0.028, which of the following interpretation of the p-value is correct? Select one: If the true mean power consumption is 300W, then 2.8% of the time we would expect a sample mean to be at least as small as the one we actually got. If the true mean power consumption is 300W, then 2.8% of the time we would expect a sample mean to be at least as large as the one we actually got. If the true mean power consumption is less than 300W then 2.8% of the time we would expect a sample mean to be at least as large as the one we actually got. If the true proportion power consumption is greater than 300W, then 2.8% of the time we would expect a sample proportion to be at least as large as the one we actually got. If the true proportion power consumption is less than 300W, then 2.8% of the time we would expect a sample proportion to be at least as small as the one we actually got. If the true mean power consumption is less than 300W, then 2.8% of the time we would expect a sample mean to be at least as small as the one we actually got.

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of less than 300 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 30 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 287.2 W. The consumer group wanted to conduct a hypothesis test about the manufacturer's claim at 0.01 level of significance using a p-value approach. If the p-value is 0.028, which of the following interpretation of the p-value is correct?

Select one:
If the true mean power consumption is 300W, then 2.8% of the time we would expect a sample mean to be at least as small as the one we actually got.
If the true mean power consumption is 300W, then 2.8% of the time we would expect a sample mean to be at least as large as the one we actually got.
If the true mean power consumption is less than 300W then 2.8% of the time we would expect a sample mean to be at least as large as the one we actually got.
If the true proportion power consumption is greater than 300W, then 2.8% of the time we would expect a sample proportion to be at least as large as the one we actually got.
If the true proportion power consumption is less than 300W, then 2.8% of the time we would expect a sample proportion to be at least as small as the one we actually got.
If the true mean power consumption is less than 300W, then 2.8% of the time we would expect a sample mean to be at least as small as the one we actually got.

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of less than 300 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a population standard deviation of 30 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 287.2 W. The consumer group wanted to conduct a hypothesis test about the manufacturer's claim at 0.01 level of significance using a p-value approach. If the p-value is 0.028, which of the following interpretation of the p-value is correct?

Select one:
If the true mean power consumption is 300W, then 2.8% of the time we would expect a sample mean to be at least as small as the one we actually got.
If the true mean power consumption is 300W, then 2.8% of the time we would expect a sample mean to be at least as large as the one we actually got.
If the true mean power consumption is less than 300W then 2.8% of the time we would expect a sample mean to be at least as large as the one we actually got.
If the true proportion power consumption is greater than 300W, then 2.8% of the time we would expect a sample proportion to be at least as large as the one we actually got.
If the true proportion power consumption is less than 300W, then 2.8% of the time we would expect a sample proportion to be at least as small as the one we actually got.
If the true mean power consumption is less than 300W, then 2.8% of the time we would expect a sample mean to be at least as small as the one we actually got.

Added by Eric G.

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