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 39 samples of water and determines the volume of each sample. The 39 samples have a mean volume of $\bar { x } = 498.3 \mathrm {~mL}$. The machine is out of calibration if the mean volume differs from $500 \mathrm {~mL}$.

The technician wants to perform a hypothesis test to determine whether the machi out of calibration. The standard deviation of the dispensed volume is known to be
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. s

Question

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 39 samples of water and determines the volume of each sample. The 39 samples have a mean volume of $\bar { x } = 498.3 \mathrm {~mL}$. The machine is out of calibration if the mean volume differs from $500 \mathrm {~mL}$.

The technician wants to perform a hypothesis test to determine whether the machi out of calibration. The standard deviation of the dispensed volume is known to be
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. s

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The Answer of 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 39 samples of water and determines the volume of each sample. The 39 samples have a mean volume of $\bar { x } = 498.3 \mathrm {~mL}$. The machine is out of calibration if the mean volume differs from $500 \mathrm {~mL}$.

The technician wants to perform a hypothesis test to determine whether the machi out of calibration. The standard deviation of the dispensed volume is known to be
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. s

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