Question

the typing speeds for secretaries are normally distributed. if a random sample of secretaries is taken and the confidence interval is (43.25, 46.75), what is the error bound?

Answer 1

The error bound in a confidence interval of (43.25, 46.75) is calculated by subtracting the lower limit from the upper limit and dividing by 2, resulting in an error bound of 1.75.

Step-by-step explanation:

The error bound refers to the maximum amount by which the estimated population mean could differ from the sample mean in a confidence interval. In the case of the provided confidence interval (43.25, 46.75), we can calculate the error bound by finding the distance from the sample mean to one of the boundaries of the confidence interval.

To get the error bound, we take the upper limit and subtract the lower limit, then divide by 2. This calculation gives us (46.75 - 43.25) / 2 = 1.75. Thus, the error bound is 1.75.The error bound in a confidence interval of (43.25, 46.75) is calculated by subtracting the lower limit from the upper limit and dividing by 2, resulting in an error bound of 1.75.