At a Water Bottling Facility, a Technician Is Testing a Bottle

question 94

Short Answer

At a water bottling facility, a technician is testing a bottle filling machine that is supposed to deliver 500 milliliters of water. The technician dispenses 38 samples of water and determines the volume of each sample. The 38 samples have a mean volume of $\bar { x } = 497.7 \mathrm {~mL}$ . The machine is out of calibration if the mean volume differs from 500 mL.
The technician wants to perform a hypothesis test to determine whether the machine is out of calibration. The standard deviation of the dispensed volume is known to be $\sigma = 5.1$
i). State the appropriate null and alternate hypotheses.
ii). Compute the value of the test statistic.
iii). State a conclusion. Use the $\alpha = 0.05$ level of significance.

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Definitions:

Homozygous Dominant

A genetic condition where an individual possesses two identical alleles for a trait on both homologous chromosomes, and the trait is dominant.

Phenotypes

The observable physical or biochemical characteristics of an organism, as determined by both genetic makeup and environmental influences.

Genotypes

The genetic constitution of an organism, determining its specific traits.

Phenotypes

The observable physical or biochemical characteristics of an organism, as determined by both genetic makeup and environmental influences.