A soft drink filling machine, when in perfect adjustment, fills the bottles with

Question

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. A random sample of 49 bottles is selected, and the contents are measured. The sample yielded a mean content of 11.88 ounces with a standard deviation of 0.35 ounces. Use the p-value approach. a) Formulate the hypotheses to test to determine if the machine is in perfect adjustment. b) Compute the value of the t test statistic. c) Compute the p-value and give your conclusion regarding the machine. Let alpha = .05. Explain from the perspective of the company.

Explanation / Answer

(a)

Hypothesis:

Ho: Mean=12

H1: Mean not equal 12

(b)

Test statistics:

t=(11.88-12)/(0.35/sqrt(49))

=-2.4

(c)

P-value:

Degree of freedom=n-1=48

From Student T-table:

T(-2.4,48) = 0.0203

AS P-value <0.05. So, we failed to reject the NULL Hypothesis.

soft drink filling machine needs adjustment

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