Construct a Confidence Interval For $\mu _ { \mathrm { d } }$

Multiple Choice

Construct a confidence interval for $\mu _ { \mathrm { d } }$ , the mean of the differences d for the population of paired data. Assume that the
population of paired differences is normally distributed.
-The $95 \%$ confidence interval for a collection of paired sample data is $0.0 < \mu _ { \mathrm { d } } < 3.4$ . Based on the same sample, a traditional hypothesis test fails to support the claim of $\mathrm { u } _ { \mathrm { d } } > 0$ . What can you conclude about the significance level of the hypothesis test?

A) $\alpha > 0.05$
B) $\alpha = 0.05$
C) $\alpha = 0.01$
D) $\alpha < 0.05$