New Bottling Process

Question

The Crown Bottling Company has just installed a new bottling process that will fill 16-ounce bottles of the popular Crown Classic Cola soft drink. Both overfilling and under filling bottles are undesirable: Under filling leads to customer complaints and overfilling costs the company considerable money. In order to verify that the filler is set up correctly, the company wishes to see whether the mean bottle fill, µ, is close to the target fill of 16 ounces. To this end, a random sample of 36 filled bottles is selected from the output of a test filler run. If the sample results cast a substantial amount of doubt on the hypothesis that the mean bottle fill is the desired 16 ounces, then the filler’s initial setup will be readjusted.
 

a: The bottling company wants to set up a hypothesis test so that the filler will be readjusted if the null hypothesis is rejected. Set up the null and alternative hypotheses for this hypothesis test.
b: Suppose that Crown Bottling Company decides to use a level of significance of a = .01, and suppose a random sample of 36 bottle fills is obtained from a test run of the filler. For each of the following four sample means- 16.05, 15.96, 16.02, 15.94 and -determine whether the filler’s initial setup should be readjusted. In each case, use a critical value, a p-value, and a confidence interval. Assume that s equals .1.

Question

The number of baby deliveries in a small hospital was sampled over 6 hour periods. Below is the sample:
11 12 7 16 4 8 9 7 3 4 9 4 6 12 9 8 4 6 12
From this data set, compute the sample mean, median, mode and midrange. Compute the 1stquartile and 3rd and interpret their meanings.