A Manufacturer Claims That the Mean Amount of Juice in Its

question 16

Multiple Choice

A manufacturer claims that the mean amount of juice in its 16 ounce bottles is $16.1$ ounces. A consumer advocacy group wants to perform a hypothesis test to determine whether the mean amount is actually less than this. The mean volume of juice for a random sample of 70 bottles was $15.94$ ounces. Do the data provide sufficient evidence to conclude that the mean amount of juice for all 16ounce bottles, $\mu$ , is less than $16.1$ ounces? Perform the appropriate hypothesis test using a significance level of $0.10$ . Assume that $\sigma=0.9$ ounces.

• A) The \( z \) of \( -1.49 \) provides sufficient evidence to conclude that the mean amount of juice is less than \( 16.1 \mathrm{oz} \).
• B) The \( z \) of \( -1.49 \) does not provide sufficient evidence to conclude that the mean amount of juice is less than \( 16.1 \mathrm{oz} \).
• C) The \( z \) of \( -0.1778 \) does not provide sufficient evidence to conclude that the mean amount of juice is less than \( 16.1 \mathrm{oz} \).
• D) The \( z \) of \( -0.1778 \) provides sufficient evidence to conclude that the mean amount of juice is less than \( 16.1 \mathrm{oz} \). 113

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Definitions:

Exposed Rock

Areas where bedrock is visible at the Earth’s surface, not covered by soil, vegetation, or water.

Chemical Weathering

The breakdown of rocks and minerals by chemical reactions with the environment, leading to alteration or decomposition.

Physical Weathering

The breakdown of rocks and minerals into smaller pieces by physical forces without changing their chemical composition.

Debris Flow

A moving mass of loose mud, sand, soil, rock, and water that travels down a slope under the influence of gravity.