When dividing two integers the result will be negative. Please answer I have quiz due 11:59 pm
1 answer:
You might be interested in
Answer:
a)
b)
And if we replace we got:
c) For this case since the sampel size is n=9 <30 we can use the t distribution in order to find the confidence interval.
d)
Step-by-step explanation:
For this case we ave the following data:
1245 1245 1321 1191 1295 1330 1239 1250 1228
Part a
We can calculate the sample mean with the following formula:
And if we replace we got:
Part b
For this case we can use the following formula in order to find the sample standard deviation:
And if we replace we got:
Part c
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".
For this case since the sampel size is n=9 <30 we can use the t distribution in order to find the confidence interval.
Part d
The confidence interval for the mean is given by the following formula:
(1)
We need to find the degrees of freedom given by:
Since the Confidence is 0.95 or 95%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,8)".And we see that
Now we have everything in order to replace into formula (1):
Check the picture below.
segments AC and BC are equal, that means that ABC is an isosceles triangle, with twin sides. Now the twin sides make twin angles on the opposite side, namely the angles at A and B are twins.
if the angles at A and B are twins, and CD is ⟂ to AB, there's only one possibility that can happen, and is if CD is an angle bisector at C.
an angle bisector like CD with twin angles on each side, will cut AB in two equal halves, therefore, if AB = 4, then AD = 2 and DB = 2.
segments AC and BC are equal, that means that ABC is an isosceles triangle, with twin sides. Now the twin sides make twin angles on the opposite side, namely the angles at A and B are twins.
if the angles at A and B are twins, and CD is ⟂ to AB, there's only one possibility that can happen, and is if CD is an angle bisector at C.
an angle bisector like CD with twin angles on each side, will cut AB in two equal halves, therefore, if AB = 4, then AD = 2 and DB = 2.