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Answer:
Null Hypothesis, :
250 W
Alternate Hypothesis, :
> 250 W
Step-by-step explanation:
We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.
They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
<u><em>Let </em></u><u><em> = mean power consumption of microwave ovens.</em></u>
So, Null Hypothesis, :
250 W
Alternate Hypothesis, :
> 250 W
Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.
On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.
The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.