The U. S. Census Bureau would like to estimate the average square footage of a new single-family home with a 95% confidence interval and a margin of error within plus or minus 100 square feet. Assuming the standard deviation for the square footage of new single-family homes is 850 square feet, the required sample size is .

The sample size is  

Step-by-step explanation:

From the question we are told that

    The margin of error is  

    The standard deviation is  

Given that the confidence level is  95% then the level of significance is mathematically represented as

Next we obtain the critical value   from the normal distribution table  

  The value  is  

Generally the sample size is mathematically represented as

=>  

=>    

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

$79500

step-by-step explanation: