Billy is participating in a biggest loser competition. His goal is to lose 3 pounds a week. If Billy meets his goal every week f
1 answer:
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Answer:
modulus of complex number is
Step-by-step explanation:
z=x+iy is a complex numbers
the given complex number is 5+2i
the value of x is 5 and y is 2
the modulus of complex number formula is
modulus of complex number is
Answer:
So on this case the 99% confidence interval would be given by (4783.43;9299.43)
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".
Solution to the problem
For this case we have the following data:
5460 5900 6090 6310 7160 8440 9930
And for this case we can calculate the mean and deviation with the following formulas:
And replacing we got:
represent the sample mean
population mean (variable of interest)
s=1610.27 represent the sample standard deviation
n=7 represent the sample size
Calculate the confidence interval
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the critical value we need to find first the degrees of freedom, given by:
Since the confidence is 0.99 or 99%, 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(0.005,6)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 99% confidence interval would be given by (4783.43;9299.43)