A Major US

Question

A Major US

Examlex · Accepted Answer

The Answer is The general format for a confidence interval estimate is:
Point estimate ± critical value (standard error).
In this case,the point estimate is

The general format for a confidence interval estimate is: Point estimate ± critical value (standard error). In this case,the point estimate is <sub>1</sub> - <sub>2</sub><sub> </sub>= 23.4 - 25.7 = -2.3 mpg. This value forms the center of the interval estimate.To complete the confidence interval,we need to compute the standard error.Since the sample sizes in this example are large,we compute the standard error using: s<sub>c</sub> = = <sub> </sub>= 0.58 The critical value for a 95 percent confidence interval based on large samples is z = 1.96 from the standard normal table.Therefore,the 95 percent confidence interval estimate for the difference in population means is: <sub>1</sub> - <sub>2</sub> ± z .Substituting we get (23.4 - 25.7)± 1.96 which gives -2.3 ± 1.96(.58)or -2.3 ± 1.1368. Thus we get: -3.4368 mpg to -1.1632 mpg. We interpret this to mean that based on the sample information,with 95 percent confidence,Impalas using Blend 1 will get between 1.1632 and 3.4368 mpg less than Impalas using Blend 2.

₁ -

₂= 23.4 - 25.7 = -2.3 mpg.
This value forms the center of the interval estimate.To complete the confidence interval,we need to compute the standard error.Since the sample sizes in this example are large,we compute the standard error using:
s_c =

=

= 0.58
The critical value for a 95 percent confidence interval based on large samples is z = 1.96 from the standard normal table.Therefore,the 95 percent confidence interval estimate for the difference in population means is:

₁ -

₂ ± z

.Substituting we get
(23.4 - 25.7)± 1.96

which gives -2.3 ± 1.96(.58)or -2.3 ± 1.1368.
Thus we get: -3.4368 mpg to -1.1632 mpg.
We interpret this to mean that based on the sample information,with 95 percent confidence,Impalas using Blend 1 will get between 1.1632 and 3.4368 mpg less than Impalas using Blend 2.

A Major US

Essay

Correct Answer:
Verified

A Major US

Essay

Correct Answer:VerifiedShow Answer

Correct Answer:
Verified