Suppose you want to test the claim the the paired sample data given below come from a population for which the mean difference is ??=0. ?(68, 73, 84, 88, 85, 88, 56) y(76, 57, 79, 65, 61, 60, 73)   Use a 0.01 significance level to find the following: (a)    The mean value of the differnces ? for the paired sample data d¯= (b)    The standard deviation of the differences ? for the paired sample data ??= (c)    The t test statistic ?=

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose you want to test the claim the the paired sample data given below come from a population for which the mean difference is ??=0.

?(68, 73, 84, 88, 85, 88, 56)
y(76, 57, 79, 65, 61, 60, 73)
 
Use a 0.01 significance level to find the following:
(a)    The mean value of the differnces ? for the paired sample data
d¯=
(b)    The standard deviation of the differences ? for the paired sample data
??=
(c)    The t test statistic
?=
(d)    The positive critical value
?=
(e)    The negative critical value
?=
(f)    Does the test statistic fall in the critical region?

A. No
B. Yes

(g)    Construct a 99% conficence interval for the population mean of all differences x−y.
 
____<μd< ____
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