I will give u brainlist

For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was us

ExtremeBDS [4]

Answer:

There is a linear correlation between chest size and weight,0.8482

Step-by-step explanation:

Given that for a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears.

the value of the linear correlation coefficient is r = 0.921.

i.e. there is a strong positive correlation from the value of r.

$H_0: r=0\\H_1: r\neq 0$

(Two tailed test at 5% level for correlation coefficient)

Test statistic t = $\frac{r\sqrt{n-2 } }{\sqrt{1-r^2}} \\=5.791$

p value <0.00001

Since p is less than 0.05 we reject H0

a) There is a linear correlation between chest size andweight

b)-- R^2 = 0.8482 proportion of the variation in weight can be explainedby the linear relationship between weight and chest size

3 0

3 years ago

The current process has a mean of 2.50 and a std deviation of 0.05. A new process has been suggested by research. What sample si

Novay_Z [31]

Answer:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.05)}{0.02})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=0.05$ represent the population standard deviation

n represent the sample size (variable of interest)

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

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

And on this case we have that ME =0.02 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025,0,1)", and we got $z_{\alpha/2}=1.96$ , replacing into formula (2) we got:

$n=(\frac{1.96(0.05)}{0.02})^2 =24.01$

So the answer for this case would be n=25 rounded up to the nearest integer

7 0

3 years ago

5. a : 4, for a = 32

Dmitrij [34]

Answer:

8

Step-by-step explanation:

put 4 in place for a

4=32

dive both sides by 4 and you will get 8

hope this helps

8 0

3 years ago

A number plus 5 more than 3 times the number is 37. find the answer.

Ann [662]

N + 5 > 3n = 37
so you're solving for n?

5 0

4 years ago

Ashley won 40 lollipops playing hoops at her schools game night later she gave two to each of her friends she only has 4 remaini

rosijanka [135]

divide 2 into 40 that gives you 20 then subtract 2 that gives you your answer

cause she only had two left

4 0

3 years ago