At the Budweiser bottling facility in St. Louis, a technician is testing a bottl

Question

At the Budweiser bottling facility in St. Louis, a technician is testing a bottle filling machine that is supposed to deliver 12 oz (355 milliliters) of beer. The technician dispenses 50 sample bottles of beer and determines the volume of each sample. The 50 samples have a mean volume of xbar = 398.3 ml with a standard deviation of 4.3 ml. The machine is out of calibration if the mean volume differs from 355 ml. The technician wants to use a 0.05 level of significance to test the vendor claim that the machine is properly calibrated.

Explanation / Answer

the null hypothesis = H0= u = 355

the alternate hypothesis = ha= u>355

test static = (x-mean)/(standard deviation/sqrt(n))

= (398.3-355)/(4.3/sqrt(50))

= 71.54

as for the degree of freedom = 50-1 = 49

alpha = 0.05

the critical region = t>1.67

as t= 71.54>1.67

therefore we will reject the null hypothesis.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.