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 null hypothesis is ___. A)$\mu$ = 100 B)$\sigma$ $\le$ 10 C)s² $\le$ 4 D)$\sigma$² ≤ 4 E)n = 100

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Quizplus · Accepted Answer

The null hypothesis for this problem is that the population variance of the resistors is less than or equal to 4. This can be written as H0: σ^2 ≤ 4. Therefore, the correct choice is D. A is incorrect because it refers to the population mean instead of the variance. B is incorrect because it is not a hypothesis statement. C is incorrect because it refers to a different test. E is irrelevant to the problem.

Discrete Components Inc α\alphaα = 005, the Null Hypothesis Is ___ μ\muμ

Discrete Components Inc $\alpha$ = 005, the Null Hypothesis Is ___ $\mu$