Given the following hypotheses, level of significance and degrees of freedom, de

ID: 3312034 • Letter: G

Question

Given the following hypotheses, level of significance and degrees of freedom, determine the t statistic and chi-square critical values.

H0 HA test critical value(s)

a) = 31 31 .02 single mean, t-test, 45 scores ______________

b) 1 = m2 1 < m2 .01 independent t-test; n1=11, n2=26, ______________

c) chi-square .01 goodness-of-fit test; 8 cells, ______________

Given the following hypotheses, level of significance and degrees of freedom, determine the t statistic and chi-square critical values.

a) H0 : mu = 31 vs H1 : mu not= 31

where mu is population mean

Assume alpha = level of significance = 0.02

n = 45

df = n-1 = 45-1 = 44

By using statistical table,

Critical value = 2.423

b) H0 : mu1 = m2 Vs H1 : mu1 < m2

alpha = level of significance = 0.01

n1 = 11, n2 = 26

Here df = n1+n2-2 = 11+26-2 = 35

critical value = 2.457

c) Chi - square test

alpha = 0.01

Number of cells = 8

df = 8-1 = 7

Critical value = 18.48

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