A random survey was taken of 400 people in a city in the United States. The survey found that the three most common eye colors a
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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.
<span>In statistics, an outlier is an observation point that is distant from other observations.
Given the points
15, 23, 24, 26, 27 and 35
Notice, that the points 15 and 35 are distance from the other points and hence are outliers.
The mean of the observations including the outliers is given by
The mean of the observations without the outliers is given by
Therefore, </span>when <span>the outliers are removed, the mean remains the same.</span>
Given the points
15, 23, 24, 26, 27 and 35
Notice, that the points 15 and 35 are distance from the other points and hence are outliers.
The mean of the observations including the outliers is given by
The mean of the observations without the outliers is given by
Therefore, </span>when <span>the outliers are removed, the mean remains the same.</span>