Answer:
We are 95% confident that the time to completion for the same color method is between 4.617 <u>less</u> to 9.383 <u>less</u> than the different color method.
Step-by-step explanation:
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence for the difference in the completion time of treatment is<em> and </em>d<em> is,</em>
<em>CI</em><em> = </em>(-4.617, -9.383)
The parameter of the study is defined as:
treatment_<em>s - </em>treatment_<em>d </em>
Consider the 95% confidence interval, (-4.617, -9.383). The confidence interval consists of all negative values.
This implies that the difference between the completion time of treatment <em>s</em> and <em>d</em> is less than 0, i.e. the completion time of treatment <em>s</em> is less than that for treatment <em>d</em>.
Thus, the complete statement is:
"We are 95% confident that the time to completion for the same color method is between 4.617 <u>less</u> to 9.383 <u>less</u> than the different color method."
