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german
1 year ago
5

a study on the latest fad diet claimed that the amounts of weight lost by all people on this diet had a mean of 20.8 pounds and

a standard deviation of 4.2 pounds. step 2 of 2 : if a sampling distribution is created using samples of the amounts of weight lost by 89 people on this diet, what would be the standard deviation of the sampling distribution of sample means? round to two decimal places, if necessary.
Mathematics
1 answer:
NikAS [45]1 year ago
8 0

The standard deviation of the sampling distribution of the sample means is 20.8

What is Sample mean?

A sample is just a small part of a whole. For example, if you work for a polling company and want to know how much people pay for food a year, you aren’t going to want to poll over 300 million people. Instead, you take a fraction of that 300 million (perhaps a thousand people); that fraction is called a sample. The mean is another word for “average.” So in this example, the sample mean would be the average amount those thousand people pay for food a year.

The sample mean is useful because it allows you to estimate what the whole population is doing, without surveying everyone. Let’s say your sample mean for the food example was $2400 per year. The odds are, you would get a very similar figure if you surveyed all 300 million people. So the sample mean is a way of saving a lot of time and money.

Given that,

mean = \mu = 20.8

standard deviation =  σ   =  4.2

n=89

So, The sampling distribution of the sample means is:

\mu\bar x = \mu=20.8

Hence,

The standard deviation of the sampling distribution of the sample means is 20.8

To learn more about Sample mean, visit:

brainly.com/question/12892403

#SPJ4

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