Dimensions of a building are 345 feet by 295 feet. If 1 inch represents 42 feet, what are the dimensions of the building on the
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The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
<h3>What is the margin of error(MOE)?</h3>It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
n = 50, X = 29,
Estimate point p = 29/50 = 0.58
q = 1-p = 1-0.58 = 0.42
Z at 0.05/2 (95% confidence interval) = 1.96
After calculating:
MOE = 0.137
Confidence interval will be: (p - MOE, p+MOE)
= (0.58-0.137, 0.58+0.137)
= (0.443, 0.717)
Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
Learn more about the Margin of error here:
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Answer:
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of . So we have T = 2
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units
The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
We can solve this equation by completing the square. Notice that 
and 
. Therefore, we can turn 
into 
. y, in this equation, only has one real solution: 4. So your answer would be (B).