Discrete Components, Inc $\alpha$ = 005, the Appropriate Decision Is _________________

question 72

Multiple Choice

Discrete Components, Inc.manufactures a line of electrical resistors.Presently, the carbon composition line is producing 100-ohm resistors.The population variance of these resistors "must not exceed 4" to conform to industry standards.Periodically, the quality control inspectors check for conformity by randomly select 10 resistors from the line, and calculating the sample variance.The last sample had a variance of 4.36.Assume that the population is normally distributed.Using $\alpha$ = 0.05, the appropriate decision is _________________.

• A)increase the sample size
• B)reduce the sample size
• C)reject the null hypothesis
• D)fail to reject the null hypothesis
• E)maintain status quo

---

Definitions:

Fixed Number of Trials

A specified, constant number of attempts or operations conducted in an experiment or process, typically used in statistical trials.

Chi-Squared Distribution

A statistical distribution that represents the distribution of the sum of the squares of k independent standard normal random variables.

Skewed to the Right

A description of a distribution of data where the right tail (higher values) is longer than the left tail, indicating a concentration of lower values.

Critical Region

The critical region is a set of values for which the null hypothesis is rejected in hypothesis testing; it specifies the threshold at which the observed results are deemed statistically significant.