Consider the following competing hypotheses and accompanying sample data. (You may find it useful to reference...

90.2K

Verified Solution

Question

Basic Math

Consider the following competing hypotheses and accompanyingsample data. (You may find it useful to reference theappropriate table: z table or ttable)

H₀: ?₁ –?₂ = 5
H_A: ?₁ –?₂ ? 5
x?1x?1 = 57 x?2x?2 = 43
s₁= 21.5 s₂= 15.2
n₁ = 22 n₂ = 18

Assume that the populations are normally distributed with equalvariances.

a-1. Calculate the value of the test statistic.(Round intermediate calculations to at least 4 decimalplaces and final answer to 3 decimal places.)

a-2. Find the p-value.
p-value < 0.01
0.01 ? p-value < 0.02
0.02 ? p-value < 0.05
0.05 ? p-value < 0.10
p-value ? 0.10

b. At the 5% significance level, can you concludethat the difference between the two means differs from 5?

Answer & Explanation Solved by verified expert

3.7 Ratings (426 Votes)

SolutionGivenHypothesisthe populations are normally distributed with equalvariancesPart a1Calculate the value of thetest statisticwhereThusPart a2 Find the pvaluedf n1 n2 2 22 18 2 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

x?1x?1 = 57	x?2x?2 = 43
s₁= 21.5	s₂= 15.2
n₁ = 22	n₂ = 18