Does anyone know the answer to this
2 answers:
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Answer:
Step-by-step explanation:
You have the following quadratic equation given in the problem:
You must make the equation equal to zero, as following:
Add like terms:
Now, to factor the equation, you must find two numbers whose sum is -2 and whose product is -15. Therefore, you have:
Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.
<h3>What is a z-distribution confidence interval?</h3>The confidence interval is:
In which:
is the sample mean.
- z is the critical value.
- n is the sample size.
is the standard deviation for the population.
The margin of error is given by:
In this problem, we have that the parameters are given as follows:
.
Hence, solving for n, we find the sample size.
Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.
More can be learned about the z-distribution at brainly.com/question/25890103