Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Also listed are statistics from a study done of IQ scores for a random sample of subjects with high lead levels. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. E Click the icon to view the data table of IQ scores. a. Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels is higher than the mean for subjects with high lead levels. What are the null and alternative hypotheses? Assume that population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. O A. Ho: H1 #H2 H1: H1> H2 O B. Ho: H1 = H2 H1: H1 # H2 O C. Ho: H1 = H2 H,: H1> H2 O D. Ho: H1 S H2 H: Hq> H2 IQ scores Medium Lead Level D High Lead 72 TF evel n2 = 11 88 92 X, = 88.187 85 89 S2 = 9.525 97 83 92 98 111 91

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Identify the test statistic

p-value 

Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Statistics from a study are also provided for IQ scores for a random sample of subjects with high lead levels. Assume the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.

**Part (a):**
- **Task:** Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels are higher than the mean for subjects with high lead levels.

- **Hypotheses:**
  - Assume population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels.
  - Options:
    - A. \( H_0: \mu_1 \neq \mu_2 \) and \( H_1: \mu_1 > \mu_2 \)
    - B. \( H_0: \mu_1 = \mu_2 \) and \( H_1: \mu_1 \neq \mu_2 \)
    - C. \( H_0: \mu_1 = \mu_2 \) and \( H_1: \mu_1 > \mu_2 \)
    - D. \( H_0: \mu_1 \leq \mu_2 \) and \( H_1: \mu_1 > \mu_2 \)

**IQ Scores Data Table:**
- **Medium Lead Level:**
  - Scores: 72, 88, 92, 85, 89, 97, 83, 92, 98, 111, 91

- **High Lead Level:**
  - Sample size (\( n_2 \)): 11
  - Mean (\( \bar{x}_2 \)): 88.187
  - Standard deviation (\( s_2 \)): 9.525

This data can be used to perform hypothesis testing to evaluate whether medium lead levels impact mean IQ scores differently compared to high lead levels.
Transcribed Image Text:Listed in the data table are IQ scores for a random sample of subjects with medium lead levels in their blood. Statistics from a study are also provided for IQ scores for a random sample of subjects with high lead levels. Assume the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. **Part (a):** - **Task:** Use a 0.01 significance level to test the claim that the mean IQ scores for subjects with medium lead levels are higher than the mean for subjects with high lead levels. - **Hypotheses:** - Assume population 1 consists of subjects with medium lead levels and population 2 consists of subjects with high lead levels. - Options: - A. \( H_0: \mu_1 \neq \mu_2 \) and \( H_1: \mu_1 > \mu_2 \) - B. \( H_0: \mu_1 = \mu_2 \) and \( H_1: \mu_1 \neq \mu_2 \) - C. \( H_0: \mu_1 = \mu_2 \) and \( H_1: \mu_1 > \mu_2 \) - D. \( H_0: \mu_1 \leq \mu_2 \) and \( H_1: \mu_1 > \mu_2 \) **IQ Scores Data Table:** - **Medium Lead Level:** - Scores: 72, 88, 92, 85, 89, 97, 83, 92, 98, 111, 91 - **High Lead Level:** - Sample size (\( n_2 \)): 11 - Mean (\( \bar{x}_2 \)): 88.187 - Standard deviation (\( s_2 \)): 9.525 This data can be used to perform hypothesis testing to evaluate whether medium lead levels impact mean IQ scores differently compared to high lead levels.
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