For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether there is a difference in average household income between those east of the Mississippi and those west of the Mississippi. (a) State the null and alternative hypotheses. Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River. Ho: CDI :: Sample statistic: :: μ th :: T₂ vs Ha: :: μ 41 μ₁ :: T₂ :: p 1₂ :: p :: P₁ (b) What statistic(s) from the sample would we use to estimate the difference? Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River. :: p P₁ ID] ::₂ :: p # P2 #r :: P2 :: P₁ :: P₂ ⠀⠀ T :: P2 :: p I :: p #I₁ 18 I1
For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether there is a difference in average household income between those east of the Mississippi and those west of the Mississippi. (a) State the null and alternative hypotheses. Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River. Ho: CDI :: Sample statistic: :: μ th :: T₂ vs Ha: :: μ 41 μ₁ :: T₂ :: p 1₂ :: p :: P₁ (b) What statistic(s) from the sample would we use to estimate the difference? Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River. :: p P₁ ID] ::₂ :: p # P2 #r :: P2 :: P₁ :: P₂ ⠀⠀ T :: P2 :: p I :: p #I₁ 18 I1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For a random sample of households in the US, we record annual household income, whether the location is east or west of the
Mississippi River, and number of children. We are interested in determining whether there is a difference in average household
income between those east of the Mississippi and those west of the Mississippi.
(a) State the null and alternative hypotheses.
Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.
Ho:
<
Sample statistic: !
μ
>
:: I₂
vs Ha:
μ
1
41
I₂
:: p
14₂
:: p
P₁
(b) What statistic(s) from the sample would we use to estimate the difference?
Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.
1₂
p
^
P₁
^
P₂
p
P₁
:: P₁
P₂
r
P2 ⠀-
:: P₂
r
p
::-
₁
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