According to the article, the mean number of hours actually worked by femalemarketing and advertising managers in a week is m????u = 45 hours.Assuming a standard deviation of ???? sigma= 7 hours, decide whether each of the following statements (a-c) is true or false or whether the information is insufficient to decide. Give a reason for each of your answers.

a. For a random sample of 196 female marketing and advertising managers, chances are roughly 95.44% that the sample mean number of hours worked will be between 31 hours and 59 hours.

b. 95.44% of all possible observations of the number of hours worked by female marketing and advertising managers lie between 31 hours and 59 hours.

c. For a random sample of 196 female marketing and advertising managers, chances are roughly 95.44% that the sample mean number of hours worked will be between 44 hours and 46 hours.