Cigarette Smoking A researcher found that a cigarette smoker smokes on average 29 cigarettes a day. She feels that this average is too low. She selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 30. The sample standard deviation was 2.3. At a=0.10, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the P-value method and tables. Part 1 of 5 (a) State the hypotheses and identify the claim. Ho: H=29 not claim ▼ H₁ μ> 29 claim This hypothesis test is a one-tailed Part: 1/5 Part 2 of 5 (b) Compute the test value. Always round t score values to three decimal places. t= X ▼test. S

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### Cigarette Smoking Hypothesis Testing

A researcher discovered that a cigarette smoker smokes an average of 29 cigarettes a day. She posits that this average is too low. She selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 30. The sample standard deviation was 2.3. At a significance level of α = 0.10, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the P-value method and tables.

#### Part 1 of 5

**(a) State the hypotheses and identify the claim.**

- Null Hypothesis (\(H_0\)): \(\mu = 29\) (not claim)
- Alternative Hypothesis (\(H_1\)): \(\mu > 29\) (claim)

This hypothesis test is a **one-tailed** test.

**Progress:**

- Part: 1 / 5

#### Part 2 of 5

**(b) Compute the test value.** Always round t score values to three decimal places.

\[ t = \] (Input Area for Calculation)
Transcribed Image Text:### Cigarette Smoking Hypothesis Testing A researcher discovered that a cigarette smoker smokes an average of 29 cigarettes a day. She posits that this average is too low. She selected a random sample of 8 smokers and found that the mean number of cigarettes they smoked per day was 30. The sample standard deviation was 2.3. At a significance level of α = 0.10, is there enough evidence to support her claim? Assume that the population is approximately normally distributed. Use the P-value method and tables. #### Part 1 of 5 **(a) State the hypotheses and identify the claim.** - Null Hypothesis (\(H_0\)): \(\mu = 29\) (not claim) - Alternative Hypothesis (\(H_1\)): \(\mu > 29\) (claim) This hypothesis test is a **one-tailed** test. **Progress:** - Part: 1 / 5 #### Part 2 of 5 **(b) Compute the test value.** Always round t score values to three decimal places. \[ t = \] (Input Area for Calculation)
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