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 unacceptable proportion of bottles will be underfilled or overfilled. Is there evidence in the sample data to suggest that the manufacturer has a problem with under filled or overfilled bottles? Use α = 0.05, and assume that fill volume has a normal distribution
Answer:
This implies that there is no problems in incorrectly filled because there weren't strong to sustain the there is a problem
Explanation:
Using hypothesis test can come in handy for to measure and accept the real variance and standard deviation of a population distribution
Following the eight steps procedure would guide;
1. Identify the parameter of interest is the population : Variance denoted as S²
2. Formulate the Null hypothesis
H° ;S² = 0.01
3. Draw an alternate hypothesis H¹: S² > 0.01
4.α = 0.05
5. Use Chi ² Test.
The test statistic is: