I need help asap plz I will mark branlist

Mathematics

2 answers:

Gnoma [55]3 years ago

8 0

Find the mean. There will be 6 numbers, so divide by 6

14 = (9 + 12 + 17 + 15 + 13 + x)/6

Simplify

14 = (x + 66)/6

Multiply 6 to both sides

14(6) = (x + 66)/6(6)

84 = x + 66

Subtract 66 from both sides

84 (-66) = x + 66 (-66)

x = 84 - 66

x = 18

18 is your answer for x

hope this helps

Phoenix [80]3 years ago

7 0

The answer to your question would be 15

You find out what the median is (13) and then you look for the bigger number than what your looking for (15) add it to the list then find the median with the set of numbers and 15 then you got your answer

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Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got: