The workers of a factory claim that their weekly wage is at most $540.00, with a standard deviation of $110.00 ( = 110). A random department of this factory with 47 workers showed a mean weekly wage of $571.50. a. Formulate a hypothesis test. b. Find the test statistic, Z*. c. Find p-value. misla svode s togyH d. Let a=0.05 and write your conclusion about the workers' claim. e. Find the 95% confidence Interval on the mean wage. f. What Excel function would you use to find the Margin of error, for part e? g. Does the confidence interval confirm your conclusion?