A software developer wants to know how many new computer games people buy each year. Assume a previous study found the standard deviation to be 1.7. She thinks the mean is 6 computer games per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.14 at the 95% level of confidence? Round your answer up to the next integer.

The minimum sample size required to ensure that the estimate has an error of at most 0.14 at the 95% level of confidence is n=567.

Step-by-step explanation:

We have to calculate the minimum sample size n needed to have a margin of error below 0.14.

The critical value of z for a 95% confidence interval is z=1.96.

To do that, we use the margin of error formula in function of n:

The minimum sample size to have this margin of error is n = 567.

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