ebAssign →x CO D Education influences attitude and festyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n= 34 U.S. cities. The sample mean for these cities showed that x 15.2% of the older adults had attended college. Large surveys of young adults (age 25 34) were taken in n= 40 U.S. dities. The sample mean for these cities showed that x 18.6% of the young adults had attended college. From previous studies, it is known that a . 7.2% and ez 4.4%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Hol H P2 Hy P> P2 O Hai 1 < P2i H 2 OHại P Pi H H a OH P P2i Hil s P2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that both population distributions are appraximately normal with known standard devlations. The Student'st. We assume that both popolation distributions are appreximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. we assume that both population distributions are apprasimately normal with knoen standard deviations. What is the value of the sample test statistic? (Test the ditference -2 Round your answer to two decimal places.) (c) Find (or estimate) the Pvalus. (Raund your answer to four decimal places.) Sketch the sampling distribution and show the area correspondng to the Pvalue
ebAssign →x CO D Education influences attitude and festyle. Differences in education are a big factor in the "generation gap." Is the younger generation really better educated? Large surveys of people age 65 and older were taken in n= 34 U.S. cities. The sample mean for these cities showed that x 15.2% of the older adults had attended college. Large surveys of young adults (age 25 34) were taken in n= 40 U.S. dities. The sample mean for these cities showed that x 18.6% of the young adults had attended college. From previous studies, it is known that a . 7.2% and ez 4.4%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use a0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Hol H P2 Hy P> P2 O Hai 1 < P2i H 2 OHại P Pi H H a OH P P2i Hil s P2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. We assume that both population distributions are appraximately normal with known standard devlations. The Student'st. We assume that both popolation distributions are appreximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. we assume that both population distributions are apprasimately normal with knoen standard deviations. What is the value of the sample test statistic? (Test the ditference -2 Round your answer to two decimal places.) (c) Find (or estimate) the Pvalus. (Raund your answer to four decimal places.) Sketch the sampling distribution and show the area correspondng to the Pvalue
MATLAB: An Introduction with Applications
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![Title: Analysis of Education Levels Across Different Age Groups
---
**Introduction:**
Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap". Is the younger generation really better educated? Large surveys of people aged 65 and older were taken in n₁ = 34 U.S. cities. The sample mean for these cities showed that x̄₁ = 15.2% of the older adults had attended college. Large surveys of young adults (ages 25 - 34) were taken in n₂ = 43 U.S. cities. The sample mean for these cities showed that x̄₂ = 18.4% of the young adults had attended college. From previous studies, it is known that σ₁ = 7.2% and σ₂ = 4.6%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use α = 0.05.
---
### Questions and Steps:
1. **What is the level of significance?**
- The level of significance (α) is 0.05.
2. **State the null and alternative hypotheses:**
_Null Hypothesis (H₀):_
- μ₁ ≥ μ₂
_Alternative Hypothesis (Hₐ):_
- μ₁ < μ₂
- [ ] H₀: μ₁ = μ₂; Hₐ: μ₁ ≠ μ₂
- [ ] H₀: μ₁ > μ₂; Hₐ: μ₁ ≤ μ₂
- [ ] H₀: μ₁ ≥ μ₂; Hₐ: μ₁ < μ₂
- [ ] H₀: μ₁ < μ₂; Hₐ: μ₁ ≥ μ₂
3. **What sampling distribution will you use? What assumptions are you making?**
- The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
- The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
- The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
- The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
4. **What is the value of the sample test statistic? (Test the](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1da81aa5-c0e9-4d6e-87eb-a5febb367169%2F434f85cd-8bfb-4de7-a3e5-ded9fc813adb%2F1xm3u9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Analysis of Education Levels Across Different Age Groups
---
**Introduction:**
Education influences attitude and lifestyle. Differences in education are a big factor in the "generation gap". Is the younger generation really better educated? Large surveys of people aged 65 and older were taken in n₁ = 34 U.S. cities. The sample mean for these cities showed that x̄₁ = 15.2% of the older adults had attended college. Large surveys of young adults (ages 25 - 34) were taken in n₂ = 43 U.S. cities. The sample mean for these cities showed that x̄₂ = 18.4% of the young adults had attended college. From previous studies, it is known that σ₁ = 7.2% and σ₂ = 4.6%. Does this information indicate that the population mean percentage of young adults who attended college is higher? Use α = 0.05.
---
### Questions and Steps:
1. **What is the level of significance?**
- The level of significance (α) is 0.05.
2. **State the null and alternative hypotheses:**
_Null Hypothesis (H₀):_
- μ₁ ≥ μ₂
_Alternative Hypothesis (Hₐ):_
- μ₁ < μ₂
- [ ] H₀: μ₁ = μ₂; Hₐ: μ₁ ≠ μ₂
- [ ] H₀: μ₁ > μ₂; Hₐ: μ₁ ≤ μ₂
- [ ] H₀: μ₁ ≥ μ₂; Hₐ: μ₁ < μ₂
- [ ] H₀: μ₁ < μ₂; Hₐ: μ₁ ≥ μ₂
3. **What sampling distribution will you use? What assumptions are you making?**
- The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
- The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
- The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
- The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
4. **What is the value of the sample test statistic? (Test the
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