Hi integral of (x)(2^(x^2+15))
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Answer:
a) z = 2.327
b) The margin of error is of 0.065.
c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
For this problem, we have that:
a) 98% confidence level
So , z is the value of Z that has a pvalue of
, so
is the critical value.
b)
The margin of error is:
So, applying to this question:
The margin of error is of 0.065.
c) Find confidence interval for the problem.
The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).
As per the problem,
The larger pump takes 40 minutes to fill the pool.
The smaller one takes 60 minutes.
When both the pumps are working , let the time taken be x minutes , then we can write
Hence, when both the pumps works together, Time taken =24 minutes.