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

question 85

Multiple Choice

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 49 samples of water and determines the volume of each sample. The 49 samples have a mean volume of $\bar { x } = 501.1 \mathrm {~mL}$
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 ou calibration. State the appropriate null and alternate hypotheses.

• A) \(H _ { 0 } : \mu = 501.1 , H _ { 1 } : \mu > 501.1\)
• B) \(H _ { 0 } : \mu \neq 501.1 , H _ { 1 } : \mu = 501.1\)
• C) \(H _ { 0 } : \mu = 500 , H _ { 1 } : \mu < 500\)
• D) \(H _ { 0 } : \mu = 500 , H _ { 1 } : \mu \neq 500\)

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Definitions:

Cent

A monetary unit in various countries, equal to one-hundredth of a base currency unit.

Decimal Equivalent

The representation of fractions as decimals by dividing the numerator by the denominator.

Percent Equivalent

A way to express a number as a percentage of 100.

Rounded

Adjusted to the nearest whole number or specified decimal place to make calculations simpler or to reflect measurement limitations.