What is the y-intercept of the line shown below? Enter your answer as a coordinate pair.
1 answer:
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Answer:
So on this case the 98% confidence interval would be given by (3.767;4.233)
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".
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=100 represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
Since the Confidence is 0.98 or 98%, the value of and
, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 98% confidence interval would be given by (3.767;4.233)
Answer:
The length of the side adjacent to that angle is 26 units
Step-by-step explanation:
We are given
In a right triangle, the side opposite a 33 degree angle is 17 units
Firstly, we will draw diagram
we can use trig
now, we can solve for x
So,
The length of the side adjacent to that angle is 26 units
