Solved on Dec 03, 2023

Determine the type of hypothesis test given H0:σ=6.9H_0: \sigma=6.9 and Ha:σ6.9H_a: \sigma \neq 6.9.

STEP 1

Assumptions
1. The null hypothesis (H0) is that the population standard deviation (σ) is equal to 6.9.
2. The alternative hypothesis (Ha) is that the population standard deviation (σ) is not equal to 6.9.

STEP 2

The type of hypothesis test (left-tailed, right-tailed, or two-tailed) is determined by the alternative hypothesis (Ha).

STEP 3

In this case, the alternative hypothesis (Ha) states that the population standard deviation (σ) is not equal to 6.9. This implies that the standard deviation could be either less than or greater than 6.9.

STEP 4

This type of alternative hypothesis, where the parameter could be either less than or greater than a certain value, corresponds to a two-tailed test.
The answer is C. Two-tailed test.

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