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The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.
<h3>What is the average annual rainfall?</h3>Generally, the equation for the probability is mathematically given as
Therefore
The z score for the probability of 0.979 is 2.034, according to the table of z values.
In the given equation, replace the values of mu and sigma with their respective values, and then solve for x.
In conclusion, The average annual rainfall will be more than 40.6 inches in about 2.1 percent of the years.
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Answer:
a) The critical value is .
b) The 99% confidence interval for the mean repair cost for the TVs is ($66.31, $110.61).
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 . This is our critical value
So it is z with a pvalue of , so
a. Find the critical value that should be used in constructing the confidence interval.
The critical value is .
b. Construct the 99% confidence interval. Round your answer to two decimal places.
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample. So, in this problem
The lower end of the interval is the mean subtracted by M. So it is 88.46 - 22.15 = $66.31
The upper end of the interval is the mean added to M. So it is 88.46 - 22.15 = $110.61
The 99% confidence interval for the mean repair cost for the TVs is ($66.31, $110.61).