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Use a table to determine the lowerlower-tail critical value for the Wilcoxon ran

ID: 3268547 • Letter: U

Question

Use a table to determine the lowerlower-tail critical value for the Wilcoxon rank sum test statistic, T 1, in each of the following one-tail tests

a. What is the lowerlower-tail critical value for alphaequals=0.05, n1equals=55, and n2equals=66? The lowerlower critical value? (Type a whole number.)

b. What is the lowerlower-tail critical value for equals=0.025, n1equals=55, and n2equals=66? The lowerlower critical value is? (Type a whole number.)

c. What is the lowerlower-tail critical value for equals=0.01, n1equals=55, and n2equals=66? The lowerlower critical value is? (Type a whole number.)

d. What is the lowerlower-tail critical value for equals=0.005, n1equals=55, and n2equals=66? The lowerlower critical value is? (Type a whole number.)

a. equals=0.05, n1equals=55, n2equals=66 b. equals=0.025, n1equals=55, n2equals=66 c. alphaequals=0.01, n1equals=55, n2equals=66 d. equals=0.005, n1equals=55, n2equals=66

Explanation / Answer

Solution:-

a. What is the lowerlower-tail critical value for alphaequals=0.05, n1equals=55, and n2equals=66?

df = n1 + n2 - 2 = 55 + 66 - 2 = 119

The t-critical value for a left-tailed test, for a significance level of =0.05 is

tc = -1.658

The lower critical value = - 2 (whole number)

b. What is the lowerlower-tail critical value for equals=0.025, n1equals=55, and n2equals=66?

df = 119

The lower critical value is -1.98 or - 2 (whole number)

c. What is the lowerlower-tail critical value for equals=0.01, n1equals=55, and n2equals=66?

df = 119

The lowerlower critical value is 2.358 or -2 (whole number)

d. What is the lowerlower-tail critical value for equals=0.005, n1equals=55, and n2equals=66?

The lowerlower critical value is 2.618 or -3 (whole number)