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 means are different.H0 says that the population standard deviations are equal. H0 says that the population standard deviations are different.H0 says that the population means are equal. (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 (c) If the sample test statistic has a t distribution, give the formula for t. 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
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 means are different.H0 says that the population standard deviations are equal. H0 says that the population standard deviations are different.H0 says that the population means are equal. (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 (c) If the sample test statistic has a t distribution, give the formula for t. 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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?
(b) If the sample test statistic has a z distribution, give the formula for z.
(c) If the sample test statistic has a t distribution, give the formula for t.
H0 says that the population means are different.H0 says that the population standard deviations are equal. H0 says that the population standard deviations are different.H0 says that the population means are equal.
(b) If the sample test statistic has a z distribution, give the formula for z.
z =
| ?1 − ?2 | ||||||
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z =
| x1 − x2 | ||||||
|
z =
| ?1 − ?2 | ||||||
|
z =
| x1 − x2 | ||||||
|
z =
| ?1 − ?2 − (x1 − x2) | ||||||
|
(c) If the sample test statistic has a t distribution, give the formula for t.
t =
| ?1 − ?2 | ||||||
|
t =
| x1 − x2 | ||||||
|
t =
| ?1 − ?2 | ||||||
|
t =
| x1 − x2 | ||||||
|
t =
| ?1 − ?2 − (x1 − x2) | ||||||
|
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