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

question 64

Multiple Choice

A sample standard deviation and sample size are given. Use the one-standard-deviation $\chi ^ { 2 }$ -test to conduct the requiredhypothesis test.
- $\mathrm { s } = 2.4 , \mathrm { n } = 17$
$\mathrm { H } _ { 0 } : \sigma = 3.5 , \mathrm { H } _ { \mathrm { a } } : \sigma \neq 3.5 , \alpha = 0.10$

• A)Test statistic: \(X ^ { 2 } = 7.523\). Critical values \(= 7.962,26.296 .\) Reject \(\mathrm { H } _ { 0 }\).
• B) Test statistic: \(X ^ { 2 } = 9.870\). Critical values \(= 7.962,26.296 .\) Do not reject \(\mathrm { H } _ { 0 }\).
• C) Test statistic: \(\mathrm { X } ^ { 2 } = 7.523\). Critical values \(= 9.312,23.542\). Reject \(\mathrm { H } _ { 0 }\).
• D) Test statistic: \(\mathrm { X } ^ { 2 } = 9.870\). Critical values \(= 9.312,23.542\). Do not reject \(\mathrm { H } _ { 0 }\).

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Definitions:

Machinery

The machines, equipment, and devices that perform various tasks in the manufacturing of goods and provision of services.

Efficiency Rate

The ratio of the actual output produced to the expected standard output, utilized in assessing operational efficiency.

Manufacturing Capacity

The maximum amount of products a facility can produce over a given period under normal working conditions.

Quality Cost Report

A document outlining the expenses related to maintaining product quality, which encompasses prevention, appraisal, and failure costs.