A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 2.4 strokes. State Ho and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two- Explain your reasoning. State the null hypothesis i words and in symbols. Choose the correct answer below. OA. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at most 2.4 strokes." The null hypothesis is expressed symbolically as, "Ho: as2.4." OB. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is not 2.4 strokes." The null hypothesis is expressed symbolically as, "Ho: *2.4." OC. The null hypothesis expressed in words is, "the standard deviation of the 18 "Ho: 22.4." OD. The null hypothesis expressed in words is, "the standard deviation of the 18 "Ho: a=2.4." State the alternative hypothesis in words and in symbols. Choose the correct answe OA. The alternative hypothesis expressed in words is, "the standard deviation of OB. The alternative hypothesis expressed in words is, "the standard deviation of OC. The alternative hypothesis expressed in words is, "the standard deviation of OD. The alternative hypothesis expressed in words is, "the standard deviation of The hypothesis test is because the contains >. 2. S. #. ra golfer is at least 2.4 strokes." The null hypothesis is expressed symbolically as, ra golfer is equal to 2.4 strokes." The null hypothesis is expressed symbolically as, ores for a golfer is 2.4 strokes." The alternative hypothesis is expressed symbolically as, "H₂:=2.4." ores for a golfer is less than 2.4 strokes." The alternative hypothesis is expressed symbolically as, "H₂: <2.4." ores for a golfer is more than 2.4 strokes." The alternative hypothesis is expressed symbolically as, "H₂:0>2.4." ores for a golfer is not 2.4 strokes." The alternative hypothesis is expressed symbolically as, "H₂: #2.4."

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### Understanding Hypothesis Testing in Statistics
A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 2.4 strokes. State \( H_0 \) and \( H_a \) in words and symbols. 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 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 most 2.4 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \leq 2.4 \).

B. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is not 2.4 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \ne 2.4 \).

C. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at least 2.4 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \geq 2.4 \).

D. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is equal to 2.4 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma = 2.4 \).

#### State the Alternative Hypothesis in Words and Symbols
Choose the correct answer below:

A. The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is 2.4 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma = 2.4 \).

B. The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is less than 2.4 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma < 2.4 \).

C. The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is more than 2.4 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma > 2.4 \).

D. The
Transcribed Image Text:### Understanding Hypothesis Testing in Statistics A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 2.4 strokes. State \( H_0 \) and \( H_a \) in words and symbols. 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 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 most 2.4 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \leq 2.4 \). B. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is not 2.4 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \ne 2.4 \). C. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at least 2.4 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma \geq 2.4 \). D. The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is equal to 2.4 strokes." The null hypothesis is expressed symbolically as, \( H_0: \sigma = 2.4 \). #### State the Alternative Hypothesis in Words and Symbols Choose the correct answer below: A. The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is 2.4 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma = 2.4 \). B. The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is less than 2.4 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma < 2.4 \). C. The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is more than 2.4 strokes." The alternative hypothesis is expressed symbolically as, \( H_a: \sigma > 2.4 \). D. The
### Hypothesis Testing in Golf Scores

A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 2.4 strokes. We need to state the null hypothesis (\(H_0\)) and the alternative hypothesis (\(H_a\)) in words and symbols. Additionally, we determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.

#### Null Hypothesis (\(H_0\))

Choose the correct answer among the given options:

- **A.** The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at most 2.4 strokes." The null hypothesis is expressed symbolically as:
  \[
  H_0: \sigma \leq 2.4
  \]

- **B.** The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is not 2.4 strokes." The null hypothesis is expressed symbolically as:
  \[
  H_0: \sigma \neq 2.4
  \]

- **C.** The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at least 2.4 strokes." The null hypothesis is expressed symbolically as:
  \[
  H_0: \sigma \geq 2.4
  \]

- **D.** The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is equal to 2.4 strokes." The null hypothesis is expressed symbolically as:
  \[
  H_0: \sigma = 2.4
  \]

#### Alternative Hypothesis (\(H_a\))

Choose the correct answer among the given options:

- **A.** The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is 2.4 strokes." The alternative hypothesis is expressed symbolically as:
  \[
  H_a: \sigma = 2.4
  \]

- **B.** The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is less than 2.4 strokes." The alternative hypothesis is expressed symbolically as:
  \[
  H_a: \sigma < 2.
Transcribed Image Text:### Hypothesis Testing in Golf Scores A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 2.4 strokes. We need to state the null hypothesis (\(H_0\)) and the alternative hypothesis (\(H_a\)) in words and symbols. Additionally, we determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. #### Null Hypothesis (\(H_0\)) Choose the correct answer among the given options: - **A.** The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at most 2.4 strokes." The null hypothesis is expressed symbolically as: \[ H_0: \sigma \leq 2.4 \] - **B.** The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is not 2.4 strokes." The null hypothesis is expressed symbolically as: \[ H_0: \sigma \neq 2.4 \] - **C.** The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is at least 2.4 strokes." The null hypothesis is expressed symbolically as: \[ H_0: \sigma \geq 2.4 \] - **D.** The null hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is equal to 2.4 strokes." The null hypothesis is expressed symbolically as: \[ H_0: \sigma = 2.4 \] #### Alternative Hypothesis (\(H_a\)) Choose the correct answer among the given options: - **A.** The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is 2.4 strokes." The alternative hypothesis is expressed symbolically as: \[ H_a: \sigma = 2.4 \] - **B.** The alternative hypothesis expressed in words is, "the standard deviation of the 18-hole scores for a golfer is less than 2.4 strokes." The alternative hypothesis is expressed symbolically as: \[ H_a: \sigma < 2.
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