What will happen to the slope of line P if the line is shifted so that the y-intercept increases and the x-intercept remains the
same?
The slope will change from positive to negative
The slope will increase
The slope will change from negative to positive
The slope will decrease
The slope will change from positive to negative
The slope will increase
The slope will change from negative to positive
The slope will decrease
1 answer:
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Answer:
(a): The 95% confidence interval is (46.4, 53.6)
(b): The 95% confidence interval is (47.9, 52.1)
(c): Larger sample gives a smaller margin of error.
Step-by-step explanation:
Given
-- sample size
-- sample mean
--- sample standard deviation
Solving (a): The confidence interval of the population mean
Calculate the standard error
The 95% confidence interval for the z value is:
Calculate margin of error (E)
The confidence bound is:
--- approximated
--- approximated
<em>So, the 95% confidence interval is (46.4, 53.6)</em>
Solving (b): The confidence interval of the population mean if mean = 90
First, calculate the standard error of the mean
The 95% confidence interval for the z value is:
Calculate margin of error (E)
The confidence bound is:
--- approximated
--- approximated
<em>So, the 95% confidence interval is (47.9, 52.1)</em>
Solving (c): Effect of larger sample size on margin of error
In (a), we have:
In (b), we have:
<em>Notice that the margin of error decreases when the sample size increases.</em>