Please answer the following questions

Link to AP formulas/tables:

https://apcentral.collegeboard.org/pdf/statistics-...

1. A company that produces pens wants to know how long their pens can write before running out of ink. A random sample of 49 pens is tested, and the mean writing time is found to be 188 hours with a standard deviation of6 hours. a. Create a 95% confidence interval for the true mean writing time of all pens. b. The CEO of the company advertises that the pens will write for 190 hours. Does his claim seem justified? ' 2. A random sample of 50 women finds that their average age at marriage is 28.3 years with a standard deviation of 2.5 years. A separate random sample of 50 men finds that their average age at marriage is 29.5 years with a standard deviation of 4.1 years. Does the data provide convincing evidence that the average age of men at their first marriage is greater than the average age of women? Perform an appropriate hypothesis test