Construct the indicated confidence interval for the difference between the two population means. Assume that the two...

50.1K

Verified Solution

Question

Statistics

Construct the indicated confidence interval for the differencebetween the two population means.
Assume that the two samples are independent simple random samplesselected from normally
distributed populations. Do not assume that the population standarddeviations are equal. A paint
manufacturer wished to compare the drying times of two differenttypes of paint. Independent
simple random samples of 11 cans of type A and 9 cans of type Bwere selected and applied to
similar surfaces. The drying times, in hours, were recorded. Thesummary statistics are as follows.
Type A
Xba = 75.7 hrs.
s1 = 4.5 hrs.
n1 = 11
Type B
Xba = 64.3 hrs.
s2 = 5.1 hrs.
n2 = 9
Construct a 98% confidence interval for Î¼1 - Î¼2, the differencebetween the mean drying time for
paint of type A and the mean drying time for paint of type B.
4)
A) 6.08 hrs < Î¼1 - Î¼2 < 16.72 hrs B) 5.85 hrs < Î¼1 - Î¼2< 16.95 hrs
C) 5.92 hrs < Î¼1 - Î¼2 < 16.88 hrs D) 5.78 hrs < Î¼1 - Î¼2< 17.02 hrs

Answer & Explanation Solved by verified expert

4.3 Ratings (809 Votes)

We need to construct the 98 confidence interval for thedifference between the population means 12 for the case thatthe population standard deviations are not known The See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member