Confidence Interval

A recent survey of 50 executives who were laid off from their previous position revealed it took a mean of 26 weeks for them to find another position. The standard deviation of the sample was 6.2 weeks. Construct a 95 percent confidence interval for the population mean. Is it reasonable that the population mean is 28 weeks?

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...rval for the population mean is given by [x-bar - 1.96 * SE, x-bar + 1.96 * SE]

= [26 - ...