Computing the value of test statistic for the given data as well as also interpret the result.
The Rutter Nursery Company sets their pine bark mulch in 50-pound bags. From a long history the production department news that the distribution of the bag weights follows the normal distribution and the standard deviation of this process is 3 pounds per bag. At the end of each day, Jeff Rutter the production manager weighs 10 bags as well as computes the mean weight of the sample. Below are the weights of 10 bags from today's production.
|
45.6
|
47.7
|
47.6
|
46.2
|
49.2
|
55.8
|
47.5
|
48.5
|
1) Can Mr. Rutter determine that the mean weight of the bags is less than 50 pounds? Use the .01 significance level.
2) In a brief report, tell why Mr. Rutter can use the z distribution as the test statistic.