A recent survey of 124 randomly sampled unemployed male executives found that it took a mean of 19.7 weeks to find another position.The standard deviation of the sample was 3.7 weeks.

a) Construct a 95% confidence interval for the population mean time for unemployed male executives to find another position.

b) A recent Washington Post article claimed that the mean time for these executives to find another position is less than 23 weeks. Based upon the confidence interval that you computed in part a) above, what do you think of the Post's claim?