Assume that a $95 \%$ confidence interval for the mean is $15.0

Question

Assume that a $95 \%$ confidence interval for the mean is $15.0 < \mu < 17.0$. The null hypothesis $H _ { 0 } : \mu = 14.0$ at $\alpha = 0.05$ would
A) not be rejected because 14.0 is less than 17.0.
B) be rejected because 14.0 is not equal equal to 16.0.
C) not be rejected because 17.0 is more than 15.0.
D) be rejected because 14.0 is less than 15.0.

Quizplus · Accepted Answer

The null hypothesis $H_0: \mu = 14.0$ would be rejected because the value 14.0 falls outside the confidence interval of $15.0 < \mu < 17.0$, indicating that the true mean is unlikely to be 14.0 at the $95\%$ confidence level.

Assume That A 95%95 \%95% Confidence Interval for the Mean Is 15.0<μ<17.015.0 < \mu < 17.015.0<μ<17.0

Assume That A $95 \%$ Confidence Interval for the Mean Is $15.0 < \mu < 17.0$