Consider a hypothesis test of difference of means for two independent populations x1 and x2.(a) What does the null hypothesis say about the relationship between the two population means?H0 says that the population standard deviations are different.H0 says that the population standard deviations are equal. H0 says that the population means are equal.H0 says that the population means are different.(b) If the sample test statistic has a z distribution, give the formula for z.z = ?1 − ?2 ?12n1 + ?22n2z = x1 − x2 ?12n1 + ?22n2 z = ?1 − ?2 s12n1 + s22n2z = x1 − x2 s12n1 + s22n2z = ?1 − ?2 − (x1 − x2) s12n1 + s22n2(c) If the sample test statistic has a t distribution, give the formula for t.t = ?1 − ?2 ?12n1 + ?22n2t = x1 − x2 ?12n1 + ?22n2 t = ?1 − ?2 s12n1 + s22n2t = x1 − x2 s12n1 + s22n2t = ?1 − ?2 − (x1 − x2) s12n1 + s22n2

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Description: Consider a hypothesis test of difference of means for two independent populations x1 and x2.(a) What does the null hypothesis say about the relationship between the two population means?H0 says that the population standard deviations are different.H0

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Consider a hypothesis test of difference of means for two independent populations x₁ and x₂.

(a) What does the null hypothesis say about the relationship between the two population means?

H₀ says that the population standard deviations are different.H₀ says that the population standard deviations are equal. H₀ says that the population means are equal.H₀ says that the population means are different.

(b) If the sample test statistic has a z distribution, give the formula for z.

z =

?₁ − ?₂

?₁²

n₁

?₂²

n₂

z =

x₁ − x₂

?₁²

n₁

?₂²

n₂

z =

?₁ − ?₂

s₁²

n₁

s₂²

n₂

z =

x₁ − x₂

s₁²

n₁

s₂²

n₂

z =

?₁ − ?₂ − (x₁ − x₂)

s₁²

n₁

s₂²

n₂

t =

?₁ − ?₂

?₁²

n₁

?₂²

n₂

t =

x₁ − x₂

?₁²

n₁

?₂²

n₂

t =

?₁ − ?₂

s₁²

n₁

s₂²

n₂

t =

x₁ − x₂

s₁²

n₁

s₂²

n₂

t =

?₁ − ?₂ − (x₁ − x₂)

s₁²

n₁

s₂²

n₂

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