Tell me the answers please!

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

Given g(x)=-x-1, find g(-4)

Molodets [167]

Answer:

g(-4)=3

Step-by-step explanation:

g(x)=-x-1

g(-4)=-(-4)-1

g(-4)=4-1

g(-4)=3

6 0

3 years ago

Pls help quickly<br> Have school tomorrow

vovangra [49]

A. 60mph
B. 12 customers per day
C. 2.5 meters per sec
D. 1.59$ per pound

We divide to find each unit rate.
(e.g 420/7=60)
(360/30=12)(40/16=2.5)(7.95/5=1.59)

8 0

2 years ago

Please help me with these 19 and 20 and tell me what you use to get the answer

ss7ja [257]

36 + h = 75...subtract 36 from both sides
h = 75 - 36
h = 39

-176 = h + (-219)
-176 = h - 219....add 219 to both sides
219 - 176 = h
43 = h

6 0

3 years ago

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A price is decreased from £800 to £640. Calculate the percentage change.

Anni [7]

<span>There is a decrease of 20% from ÂŁ800 to ÂŁ640.

A change from 800 to 640 represents a negative change (decrease) of -20% Using the formula :

Percent change = [(800 - 640) / 800] x 100 = -20 % (decrease)

800 is the old value and 640 is the new value. In this case we have a negative change (decrease) of -20 percent because the new value is smaller than the old value.</span>

6 0

3 years ago

Read 2 more answers