A manufacturer claims that the mean amount of juice in its $500 \mathrm {~mL}$ bottles is $501.2 \mathrm {~mL} \text {. }$ A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this.

Question

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Since the consumer advocacy group wants to test whether the mean amount is actually less than the manufacturer's claim, a lower-tailed test is appropriate. This means the null hypothesis will be that the mean amount is equal to or greater than the manufacturer's claim, and the alternative hypothesis will be that the mean amount is less than the manufacturer's claim.

A Manufacturer Claims That the Mean Amount of Juice in Its