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An appliance manufacturer claims to have developed a new toaster oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for toaster ovens is normally distributed with a standard deviation of 18 W. A consumer group challenges the manufacturer’s claim and they take a sample of 20 toaster ovens and calculate the average consumption to be 245 W.
a) What would their conclusion be at the 5% significance level? Perform the necessary test.
b) What is the p-value of the test in part (a)?
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