Hank's car travels 600 feet in 20 seconds. Andy's motorcycle travels 300 feet in 12 seconds. Which is faster, the car or the mot
2 answers:
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Answer:
a)
So on this case the 99% confidence interval would be given by (13.83;28.17)
b)
c)
d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.
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".
Part a
represent the sample mean
population mean (variable of interest)
represent the population standard deviation
n=350 represent the sample size
99% confidence interval
The confidence interval for the mean is given by the following formula:
(1)
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: "=-NORM.INV(0.005,0,1)".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 (13.83;28.17)
Part b
The margin of error is given by:
Part c
The margin of error is given by:
Part d
As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:
D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.
See the graph
<h2>Explanation:</h2>Remember to write complete questions in order to get good and exact answers. Here you haven't provided any option, but it's easy to plot this point on a coordinate system in order to know the location of the movie theater. We know that this theater is at the point:
So let's plot this point in the cartesian plane:
- The x-coordinate is -4
- The y-coordinate is 2.
So the graph is shown below. Remember that the horizontal axis is called the x-axis while the vertical axis is called the y-axis.
- x > 0 for the x-values to the right of the origin.
- x < 0 for the x-values to the left of the origin.
- y > 0 for the y-values above the origin
- y < 0 for the y-values below the origin.
Cartesian coordinate system: brainly.com/question/2141683
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