What could the answer be?

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 :

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

3 0

3 years ago

Please people help me

Musya8 [376]

Answer:

x > 60

Step-by-step explanation:

From the picture attached,

An arrow starting with a hollow circle from x = 60, directing towards positive numbers (greater than 60).

So, hollow circle will represent an inequality with no sign of 'equal to' and arrow will represent the sign of greater than (As moving ahead of 60).

Inequality representing the picture will be,

x > 60

3 0

3 years ago

How many lines of symmetry does the shape have?

jenyasd209 [6]

12
The shape has 12 lines of symmetry because you add
up all the sides

6 0

3 years ago

How do u do percentages

melomori [17]

By changing the number into a decimal, and then moving the decimal twice to the right.

5 0

3 years ago

Read 2 more answers

A tourist first walked 17km with a speed of v km/h. Then he hiked 12 km uphill with the speed that was 2 km/hour less than his o

ExtremeBDS [4]

Answer: $t=\frac{17}{v}+\frac{12}{v-2}$

Step-by-step explanation:

Given: A tourist first walked 17km with a speed of v km/h.

Since $Speed=\frac{distance}{time}$

therefore, $Time=\frac{distance}{speed}$

Let $t_1$ be the time he walked with speed v.

then $t_1=\frac{17}{v}$

Also he hiked 12 km uphill with the speed that was 2 km/hour less than his original speed.

Let $t_2$ be the time he hiked 12 km,

Then $t_2=\frac{12}{v-2}$

The total time for the whole trip is given by:-

$t=t_1+t_2=$

Substitute the values of $t_1$ and $t_2$ in the equation, we get

$t=\frac{17}{v}+\frac{12}{v-2}$

4 0

3 years ago