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 selecting 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 $\ge$ 4 D)$\sigma$² = = 4 E)n = 100

Question

Quizplus · Accepted Answer

The null hypothesis in this context is a statement about the population variance being equal to a specific value, which in this case is 4. Option D correctly states that the null hypothesis ($\sigma^2 = 4$) is about the population variance ($\sigma^2$) being equal to 4, which matches the industry standard that the variance "must not exceed 4".

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

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