we have numbers
n1=20,M1 = 5.5, s21= 0.25
n2=10,M2 = 6.0, s22= 0.01
The test statistic is
(M1 – M2) Sp 1+1 Ini+n2-2 71 n2
so the standard error is
s.e. = = SPV 1 1 + n1 n2
where Sp is the pooled standard deviation given as
Sp = = (ni - 1)S} + (n2 – 1)S ni + n2 - 2
Sp= V 19 * 0.25 +9 * 0.01 20 + 10 – 2
Sp = V0.1729
Sp = 0.4158
Hence the standard error is
1 s.e. = 0.4158 1 + 20 = 0.161 = 0.16 10 (to decimal places)
1. The correct answer is standard error=0.16
now, the value of the test statistic
=t-statistic
5.5 – 6 0.16
-3.125
-3.13 (to decimal places)
2. The correct answer is t-statistic=-3.13
Numbers is a spreadsheet application developed by Apple Inc. as part of the iWork productivity suite alongside Keynote and Pages. Numbers is available on iOS and macOS High Sierra and later. Numbers 1.0 for OS X was announced on August 7, 2007, making it the newest application in the iWork suite.
Numbers are arithmetic values used to represent quantities. A number is therefore a mathematical concept used for counting, measuring, and labeling. Numbers form the basis of mathematics.
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