A hungry college student just finished eating a large cheese and pepperoni pizza from Doug's Pizza Palace and felt there wasn'
1 answer:
Answer: 83
Step-by-step explanation:
The confidence interval for population mean is given by :-
Given : The student obtained the following 95% confidence interval (in grams) for the population mean, (862,1028).
Here,
Lower limit of the confidence interval : (1)
Upper limit of the confidence interval : (2)
Subtracting (1) from (2) , we get
Hence, the margin of error = 83
You might be interested in
Answer:
The 95% confidence interval would be given by (29.780;32.020)
Step-by-step explanation:
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".
represent the sample mean for the sample
population mean (variable of interest)
s=7.5 represent the sample standard deviation
n=174 represent the sample size
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 0.95 or 95%, the value of and
, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,173)".And we see that
, this value is similar to the obtained with the normal standard distribution since the sample size is large to approximate the t distribution with the normal distribution.
Now we have everything in order to replace into formula (1):
So on this case the 95% confidence interval would be given by (29.780;32.020)
The value 29.6 is not contained on the interval calculated.
C. No Solution
<u>Explanation</u>
<u></u>
The above equation has no solution as the value of x is always mod x which means the value is always positive. Hence to make the equation true, we need value of mod x less than -4 which is not possible. Hence this equation as no solution.
Since, |x| can never be < -4 because value of |x| is always greater than or equal to, Hence this equation has no solution.