A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."

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warylucknow warylucknow · Answer 1 · 2025-04-07T11:27:02-04:00

Answer:

The correct option is (C).

Step-by-step explanation:

The claim made by the golf analyst is:

Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.

A standard deviation test is to be performed.

The hypothesis for the test will be defined as follows:

H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.

Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.

Thus, the correct option is (C).