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Rudik [331]
3 years ago
9

True or false and please explain

Mathematics
1 answer:
Alina [70]3 years ago
8 0

A. False. The first part of the statement is true, but the second part is not. The sample mean is not always equal to the population mean. The sample mean will vary (it's a random variable).

B. True. The larger the sample, the better the estimate. Ideally we would take a census, but that is often too costly. The next best thing is to select a sample that is of the proper size.

C. True. Consider a normal distribution with mean mu and standard deviation sigma. The distribution of sample means, aka xbar distribution, will have mean mu and standard deviation sigma/sqrt(n), where n is the sample size. We see that sigma/sqrt(n) is smaller than sigma. This tells the xbar distribution is much taller and more narrow compared to the normal distribution.

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16% probability that the facility needs to recalibrate their machines.

Step-by-step explanation:

We have to use the Empirical Rule to solve this problem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

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95% of the measures are within 2 standard deviation of the mean.

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They will have to recalibrate if the number of defects is more than one standard deviation above the mean.

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7 0
4 years ago
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If my answer helped, kindly mark me as the brainliest!!

Thank you!!

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