Solve the equation -5 - ____ = 25
2 answers:
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Answer:
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
Step-by-step explanation:
The standard deviation is the square root of the variance. Since the variance is 25, the sample's standard deviation is 5.
We have the sample standard deviation, not the population, so we use the t-distribution to solve this question.
T interval:
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 = 15 - 1 = 14
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of 0.95(). So we have T = 1.761
The margin of error is:
M = T*s = 1.761*5 = 8.805.
The upper end of the interval is the sample mean added to M. So it is 75 + 8.805 = 83.805.
The upper limit of a 95% confidence interval for the population mean would equal 83.805.
There approximately 7133 books in the library;
Data;
- Let the number of total books = x
- Number of fictional books = 3/4x
To solve this problem, we simply need to use an equation to explain the word problem into mathematical statements.
Let the total number of books be represented by x
The number of fictional books = 3/4x
After 592 fictional books were donated;
Let collect like terms and solve
There approximately 7133 books in the library;
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