FTC wants to check Hilltop’s claim that its large can of coffee contains 3 pounds of coffee. The FTC director wants to perform a hypothesis test, with a .01 level of significance, to check Hilltop’s claim. Suppose a random sample of 36 cans provides a sample mean of 2.92 pounds. Previous FTC tests show that the population standard deviation can be assumed known with a value of 0.18 and also show that the population of filling weights can be assumed to have a normal distribution.
1) What is the test statistic? Round to two decimal places. [test] Note: Remember to pay attention to if the problem is on the left side (negative) or right side (positive) of the curve.
2)Using the critical value method, what is the t-value? Round to two decimal places.
3)Using the p-value approach, what is the area value? Round to four decimal places.
4)Based on the results, do you accept or reject the null hypothesis?