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natali 33 [55]
2 years ago
8

1. Find the mean for 2, 5, 9, 4

Mathematics
2 answers:
Reil [10]2 years ago
6 0

Answer:

Answer 1. 5     Answer 2. 60   Answer 3. 37

Step-by-step explanation:

PilotLPTM [1.2K]2 years ago
5 0

Answer:

1. 5

2. 60

3. 37

Step-by-step explanation:

To find the mean you must add up all the numbers you have in the number set and then divide by the amount of numbers you have in the number set. For example, for number one you add 2+5+9+4, which equals 20, then divide by 4 because that is how many numbers you have in the set. After dividing 20 by 4 you should get 5.

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3 years ago
Assume that population mean is to be estimated from the sample described. Use the sample results to approximate the margin of er
Vikentia [17]

Answer:

ME=1.998 \frac{4}{\sqrt{64}}=0.999 \approx 1

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 =69 represent the sample mean for the sample  

\mu population mean

s=4.0 represent the sample standard deviation

n=64 represent the sample size  

Assuming the X follows a normal distribution

X \sim N(\mu, \sigma)

The sample mean \bar X have the following distribution:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

The margin of error for the sample mean is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since we have the sample standard deviation we can estimate the margin of error like this:

ME=t_{\alpha/2}\frac{s}{\sqrt{n}}

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.95=0.05 and \alpha/2=0.025

We can find the degrees of freedom like this:

df=n-1=64-1=63

And we can find the critical value with the following code in excel for example: "=T.INV(0.025,63)" and we got:

t_{\alpha/2}=\pm 1.998

And the margin of error would be :

ME=1.998 \frac{4}{\sqrt{64}}=0.999 \approx 1

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3 years ago
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Keith_Richards [23]

Answer:

65

Step-by-step explanation:

180-115=65 bc all the lines are parallel.

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