In a random sample taken from 3 high schools in Albany area the mean GPA of female seniors (N = 526) is 2.92 with the standard deviation of 1. The mean GPA of male seniors (N = 477) is 2.77 with the standard deviation of 1.2. If you want to test whether female high school seniors in Albany (Sample 1) have lower GPA than male high school seniors (Sample 2), your alternative hypothesis would be: %3D %3D O H1: µ1 < µ2 O H1: µ1 # 2.77 O H1: µ1 > µ2 H1: µ1 # p2

In a random sample taken from 3 high schools in Albany area the mean GPA of female seniors (N = 526) is 2.92 with the standard deviation of 1. The mean GPA of male seniors (N = 477) is 2.77 with the standard deviation of 1.2. If you want to test whether female high school seniors in Albany (Sample 1) have lower GPA than male high school seniors (Sample 2), your alternative hypothesis would be: %3D %3D O H1: µ1 < µ2 O H1: µ1 # 2.77 O H1: µ1 > µ2 H1: µ1 # p2

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

In a random sample taken from 3 high schools in Albany area the
mean GPA of female seniors (N = 526) is 2.92 with the standard
deviation of 1. The mean GPA of male seniors (N = 477) is 2.77
with the standard deviation of 1.2. If you want to test whether
female high school seniors in Albany (Sample 1) have lower GPA
than male high school seniors (Sample 2), your alternative
hypothesis would be:
%3D
O H1: µ1 < µ2
H1: µ1 # 2.77
H1: µ1 > µ2
H1: µ1 # µ2
5:50 F
2/24/21
Type here to search

Expert Solution

Step 1

Solution:

Given information:

$n_{1} = 526 S a m p l e s i z e o f s a m p l e 1 n_{2} = 477 S a m p l e s i z e o f s a m p l e 2 x_{1} = 2.92 S a m p l e m e a n o f s a m p l e 1 x_{2} = 2.77 S a m p l e m e a n o f s a m p l e 2 s_{1} = 1 S a m p l e s \tan d a r d d e v i a t i o n o f s a m p l e 1 s_{2} = 1.2 S a m p l e s \tan d a r d d e v i a t i o n o f s a m p l e 2$