An automated filling machine is used to fill bottles with liquid detergent. a random sample of 20 bottles results in a sample variance of fill volume of s2 = 0.0153 (fluid ounces)2. if the variance of fill volume exceeds 0.01 (fluid ounces)2, an acceptable proportion of bottles will be underfilled or overfilled. is there evidence in the sample data to suggest that the manufacturer has a problem with underfilled or overfilled bottles? use the test statistic method. we assume α = 0.055 and fill volume has a normal distribution.

(a) state your hypotheses. h0 : h1 :

(b) obtain the test statistic value. justify your answer below

(c) based on the test statistic value you obtained, are you going to reject or ftr the null hypothesis?

reject h0 or ftr h0