The Local Bottling Company has just installed a new bottlingprocess that will fill 16-ounce bottles of the popular ParadiseClassic Cola soft drink. Both overfilling and underfilling bottlesare undesirable: Underfilling leads to customer complaints andoverfilling costs the company considerable money. In order toverify that the filler is set up correctly, the company wishes tosee whether the mean bottle fill, ?, is close to thetarget fill of 16 ounces. To this end, a random sample of 38 filledbottles is selected from the output of a test filler run. If thesample results cast a substantial amount of doubt on the hypothesisthat the mean bottle fill is the desired 16 ounces, then thefiller’s initial setup will be readjusted.

(a) The bottling company wants to set up ahypothesis test so that the filler will be readjusted if the nullhypothesis is rejected. Set up the null and alternative hypothesesfor this hypothesis test.

H₀ : ?

H_a : ?

(b) Suppose that Local Bottling Company decidesto use a level of significance of ? = 0.01, and suppose arandom sample of 38 bottle fills is obtained from a test run of thefiller. For each of the following two sample means—x??

= 16.05, x??

= 15.97} — determine whether the filler’s initial setup shouldbe readjusted. In each case, use a critical value, ap-value, and a confidence interval. Assume that ? equals.1. (Round your z to 2 decimal places and p-valueto 4 decimal places.)

x??

= 16.05

z
p-value

Decision:

x??

= 15.97

z
p-value

DECISION:

NEED ANSWER IN NEXT 20 MIN TIMED HW