Match List I (Statement of hypothesis) with List II (Meaning) and choose the correct answer from the options given below.

List I

i.H0: population mean equals 100

ii.Ha: population mean is not equal to 100

iii.Ha: population mean is greater than 100

iv.Ha: population mean is less than 100

List II

a.Alternative hypothesis that the population mean is not equal to 100

b.Alternative hypothesis that the population mean is greater than 100

c.Null hypothesis that the population mean is equal to the hypothesised mean 100

d.Alternative hypothesis that the population mean is less than 100

Ai-a, ii-b, iii-c, iv-d

Bi-b, ii-a, iii-d, iv-c

Ci-c, ii-a, iii-b, iv-d ✓ Correct

Di-d, ii-c, iii-a, iv-b

Correct answer: (C) i-c, ii-a, iii-b, iv-d

Explanation

The true match is i-c, ii-a, iii-b and iv-d.

H0 that the population mean equals 100 is the null hypothesis of equality, pairing with c.

Ha that the mean is not equal to 100 is the two-tailed alternative, pairing with a.

Ha that the mean is greater than 100 is the right-tailed alternative, pairing with b.

Ha that the mean is less than 100 is the left-tailed alternative, pairing with d.

A directional Ha uses a one-tailed test, a non-directional one a two-tailed test.

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