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Answer:
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
That is z with a pvalue of , so Z = 1.96.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 190 - 30 = 160 days
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
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Your expression can be simplified as follows:
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<em>Additional comment</em>
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:
Consider division:
This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).