A Manufacturer Claims That the Mean Amount of Juice in Its

question 26

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 hypotheses are:
$\mathrm{H}_{0}: \mu=16.1$ ounces
$\mathrm{H}_{\mathrm{a}}: \mu<16.1 \text { ounces }$
Suppose that the results of the sampling lead to rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean amount of juice, ?, is less than 16.1 ounces.

• A) Type II error
• B) Correct decision
• C) Type I error

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Definitions:

Codon

A sequence of three nucleotides in mRNA that specifies a particular amino acid or termination signal during protein synthesis.

Natural Selection

Natural selection is a mechanism that can lead to adaptive evolution, whereby differences in the phenotypes of individuals cause some of them to survive and reproduce more effectively than others and therefore outcompete them.

Synapomorphy

A characteristic or trait that is shared by two or more taxonomic groups and is derived from their most recent common ancestor, indicating a phylogenetic relationship.

Molecular Phylogeny

The analysis of the molecular structure of DNA, RNA, or protein sequences to determine genetic relationships and evolutionary histories among different species.