Given a population Mean u= 18.2. A sample size n = 36 with x =17.2 and s = 3.5. T st if population u +15 at a= 0.1 level of significance. 6.

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6. Given a population mean \( \mu = 18.2 \). A sample size \( n = 36 \) with \( \bar{x} = 17.2 \) and \( s = 3.5 \).
   - **Test if population \( \mu \neq 15 \) at \( \alpha = 0.1 \) level of significance.**

7. Two samples with \( n_1 = 20, s_1 = 8.2 \) and \( n_2 = 15, s_2 = 7.6 \).
   - **Test if populations \( \sigma_1 \neq \sigma_2 \) at \( \alpha = 0.05 \) level of significance.**

   Two samples with \( \hat{p}_1 = 0.25, n_1 = 36 \) and \( \hat{p}_2 = 0.3, n_2 = 49 \).
   - **Test if populations \( p_1 \neq p_2 \) at \( \alpha = 0.05 \) level of significance.**

9. Two independent samples with \( \bar{x}_1 = 5.1, s_1 = 1.2, n_1 = 20 \) and \( \bar{x}_2 = 4.6, s_2 = 1.5, n_2 = 20 \).
   - **Test if populations \( \mu_1 > \mu_2 \) at \( \alpha = 0.01 \) level of significance.**

10. Two dependent samples with \( \bar{x}_d = 1.6, s_d = 0.8, n_1 = n_2 = 20 \).
   - **Test if populations \( \mu_1 > \mu_2 \) at \( \alpha = 0.05 \) level of significance.**
Transcribed Image Text:6. Given a population mean \( \mu = 18.2 \). A sample size \( n = 36 \) with \( \bar{x} = 17.2 \) and \( s = 3.5 \). - **Test if population \( \mu \neq 15 \) at \( \alpha = 0.1 \) level of significance.** 7. Two samples with \( n_1 = 20, s_1 = 8.2 \) and \( n_2 = 15, s_2 = 7.6 \). - **Test if populations \( \sigma_1 \neq \sigma_2 \) at \( \alpha = 0.05 \) level of significance.** Two samples with \( \hat{p}_1 = 0.25, n_1 = 36 \) and \( \hat{p}_2 = 0.3, n_2 = 49 \). - **Test if populations \( p_1 \neq p_2 \) at \( \alpha = 0.05 \) level of significance.** 9. Two independent samples with \( \bar{x}_1 = 5.1, s_1 = 1.2, n_1 = 20 \) and \( \bar{x}_2 = 4.6, s_2 = 1.5, n_2 = 20 \). - **Test if populations \( \mu_1 > \mu_2 \) at \( \alpha = 0.01 \) level of significance.** 10. Two dependent samples with \( \bar{x}_d = 1.6, s_d = 0.8, n_1 = n_2 = 20 \). - **Test if populations \( \mu_1 > \mu_2 \) at \( \alpha = 0.05 \) level of significance.**
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