i) \"A machine is designed to fill jars with 16 ounces of coffee. A consumer sus
ID: 2958731 • Letter: I
Question
i) "A machine is designed to fill jars with 16 ounces of coffee. A consumer suspects that the machine is not filling the jars completely. A sample of 8 jars has a mean of 15.6 ounces and a standard deviation of 0.3 ounce. Is there enough evidence to support the consumer's conjecture at a = 0.05?" (adapted from Bluman, 1998, p. 381).(1) First, identify the alternative and the null hypotheses.
(2) Secondly, calculate the critical value and d.f.
(3) Next, use the appropriate formula.
(4) Finally, decide whether or not to reject the null hypothesis.
Explanation / Answer
Sample size, n =8, sample mean, x =15.6, standard deviation, s=0.3 standard error, e = s/vn = 0.3 / v8 = 0.106degree of freedom, df = n-1 = 8-1 = 7 Null hypothesis , Ho: µ=16 Alternate hypothesis, Ha: µ 16At a=0.05, for a two tail distribution and df=7 we reject Ho. So there is enough evidence to support
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.