company that makes cola drinks states that the mean caffeine content per 12-ounc
ID: 3041233 • Letter: C
Question
company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 45 milligrams. You n want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 42.6 milligrams with a standard deviation of 6.2 milligrams. At =0.07, can you reject the company's claim? Complete parts (a) through (e). (a) Identify Ho and Ha Choose the correct answer below B. Ho : s 42.6 Ha : > 42.6 Ho : #42.6 Ha: -42.6 Ha : #45 OD. Ha : = 45 Ho : =42.6 Ha : 42.6 E. te Ha : 45 CE (b) Find the critical value(s), Select the correct choice below and fill in the answer box within your choice. (Round to two decimal places as needed.) O A. The critical values are ±1. O B. The critical value is Identify the rejection region(s). Choose the correct answer be OA. Click to select your answer(s). or OB. O C.
Explanation / Answer
Answer to the question is as follows. Comment back in case you've doubts:
a.
mean = 45
n = 30
Sample mean = 42.6
stdev = 6.2
alpha = .07
Since the hypothesis will be only on equality to population mean,
the right option is A.
Ho: Mu =45
Ha: Mu!=45
b.
A.critival value of are +/- 1.81
B. The critical values are - not the right option, as it a 2 tailed test
C. is the rejection region as it a 2 tailed test
d. Zcalc = (42.6-45)/(6.2/sqrt(30)) = -2.12
Since the Z calc is below the critical value of -1.81 it lies inside
the rejection region, and therefore, we reject the null hypothesis
C. is correct
e. At the 7% significance level, there isn't enough eveidence to reject
the company' claim that the mean caffeine content per 12-ounce bottle of
cola is equal to 45 grams
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