Mathematics, 15.04.2020 23:40 hunter0156

A random sample of college basketball players had an average height of 63.45 inches. Based on this sample, (62.1, 64.8) found to be a 96% confidence interval for the population mean height of college basketball players. Select the correct answer to interpret this interval. a. We are 96% confident that the population mean height of college basketball palyers is 63.45 inches. b. A 96% of college basketball players have height between 62.1 and 64.8 inches. c. There is a 96% chance that the population mean height of college basketball players is between 62.1 and 64.8 inches. d. We are 96% confident that the population mean height of college basketball players is between 62.1 and 64.8 inches.

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Answer from: akepa

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the confidence interval is given by (62.1; 64.8)

Now we need to interpret this confidence interval and we can conclude this:

d. We are 96% confident that the population mean height of college basketball players is between 62.1 and 64.8 inches.

And the reason of this is because the principal interest when we create a confidence interval is in order to estimate the population mean $\mu$ at some level of confidence, and for this reason we can't asociate this to a chance or a probability.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=63.45$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And for this case the confidence interval is given by (62.1; 64.8)

Now we need to interpret this confidence interval and we can conclude this:

d. We are 96% confident that the population mean height of college basketball players is between 62.1 and 64.8 inches.

Answer from: Quest

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

Which are the possible side lengths of a triangle?

Answer from: Quest

Ithink it’s b, hope this .

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A random sample of college basketball players had an average height of 63.45 inches. Based on this s...

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