A Sample Standard Deviation and Sample Size Are Given $\chi ^ { 2 }$

question 35

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $\chi ^ { 2 }$ -test to conduct the required hvpothesis test.
- $\mathrm { s } = 6 , \mathrm { n } = 10$
$\mathrm { H } _ { 0 } : \sigma = 7 , \mathrm { H } _ { \mathrm { a } } : \sigma \neq 7 , \alpha = 0.05$

• A)Test statistic: \(X ^ { 2 } = 6.612\), Critical values \(= 3.325,16.919\). Do not reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(\mathrm { X } ^ { 2 } = 12.25\), Critical values \(= 2.700,19.023\). Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(X ^ { 2 } = 6.612\), Critical values \(= 2.700,19.023\). Do not reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(X ^ { 2 } = 12.25\), Critical values \(= 3.325,16.919\). Reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Yield

Yield refers to the amount of product obtained from a chemical reaction relative to the theoretical maximum amount possible, usually expressed as a percentage.

Indicated Product

The specified chemical product resulting from a chemical reaction or process.

Nucleophilic Aromatic Substitution

A chemical reaction in which an electron-rich nucleophile selectively replaces a leaving group, such as a halide, on an aromatic ring.

Dinitrophenol

A class of organic compounds that contain a phenol ring and two nitro groups, known for their use in biochemistry and weight loss.