A manufacturer of detergent claims that the contents of boxes sold weigh on average at least 16 ounces. The distribution of weight is known to be normal, with a standard deviation of 0.4 ounce. A random sample of 16 boxes yielded a sample mean weight of 15.84 ounces. Test at the 10% significance level the null hypothesis that the population mean weight is at least 16 ounces. a. State the null and the alternative hypothesis and comment whether its a one tail or two tail test? If one tail then right or left tail test? (write your answer as right tail test/left tail test/ two tail test)

b. Identify the critical value. Ans in two decimal places.

c. What is the calculated value? Ans in one decimal places.

d. Write the decision rule and identify whether the condition holds. (write answer as condition holds/ condition does not hold).