t-test Tests the claim that µi # µ2. Assume the samples are normally distributed, random and independent. of = o} 81 = 0.75 ; s2 = 0.74 ž1 = 46.83; zz = 47.02 %3D %3D 721 = 12; n2 = = 12 Degrees of Freedom Standard Error t-Test Statistic (ni – 1) sỉ + (n2 – 1) · s (ž1 – 72) – (µi – µ2) n1 + ng – 2 ni + n2 – 2 n2 a. Calculate the Standard Error sz-ž (use 3 decimals) b. Calculate the t-test statistic using the standard error from part a. t = (use 2 decimal places) c. What are the degrees of freedom? df =

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t-test
Tests the claim that 4i # µ2. Assume the samples are normally distributed, random and independent.
of = o}
81 = 0.75 ; s2 = 0.74
ž1 = 46.83 ; zz = 47.02
T1 = 12 ; n2 = 12
Degrees of
Freedom
Standard Error
t-Test Statistic
(n1 – 1) · sỉ + (n2 – 1) · s
(ž1 – 72) – (µ1 – 42)
n1 + n2
ni + n2 – 2
72
a. Calculate the Standard Error s,-i
(use 3 decimals)
b. Calculate the t-test statistic using the standard error from part a. t=
(use 2 decimal places)
c. What are the degrees of freedom? df =
d. At a = 0.02 , Use the distribution table to find the critical values for the rejection region
te = +
(use 4 decimal places)
Transcribed Image Text:t-test Tests the claim that 4i # µ2. Assume the samples are normally distributed, random and independent. of = o} 81 = 0.75 ; s2 = 0.74 ž1 = 46.83 ; zz = 47.02 T1 = 12 ; n2 = 12 Degrees of Freedom Standard Error t-Test Statistic (n1 – 1) · sỉ + (n2 – 1) · s (ž1 – 72) – (µ1 – 42) n1 + n2 ni + n2 – 2 72 a. Calculate the Standard Error s,-i (use 3 decimals) b. Calculate the t-test statistic using the standard error from part a. t= (use 2 decimal places) c. What are the degrees of freedom? df = d. At a = 0.02 , Use the distribution table to find the critical values for the rejection region te = + (use 4 decimal places)
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