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State 2 Use the critical value approach to test for a significant difference in the average SAT scores for these two states at the 5% level of significance. State the null and alternative hypotheses. O Họ: (H - H2) = 0 versus H,: (H, - H2) < 0 O Họ: (H, - H2) = 0 versus H,: (#, – H2) > 0 O Hạ: (H, - H2) < 0 versus H,: (H, - H,) > 0 O Hạ: (H, - H2) = 0 versus H,: (H, - H2) = 0 O Hạ: (H, - H2) = 0 versus H,: (H, – H2) = o Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) State your conclusion. O H, is not rejected. There is insufficient evidence to indicate that there is a difference in the average SAT scores for the two states. Ho is rejected. There is sufficient evidence to indicate that there is a difference in the average SAT scores for the two states. O Hg is rejected. There is insufficient evidence to indicate that there is a difference in the average SAT scores for the two states. Ho is not rejected. There is sufficient evidence to indicate that there is a difference in the average SAT scores for the two states. Use the p-value approach to test for a significant difference in the average SAT scores for these two states. (Use a = 0.05.) Find the p-value. (Round your answer to four decimal places.) p-value = | If you were writing a research report, how would you report your results? The null hypothesis -Select-- v rejected. There is --Select-- v evidence to conclude that (u, - H,) ? o.

State 2 Use the critical value approach to test for a significant difference in the average SAT scores for these two states at the 5% level of significance. State the null and alternative hypotheses. O Họ: (H - H2) = 0 versus H,: (H, - H2) < 0 O Họ: (H, - H2) = 0 versus H,: (#, – H2) > 0 O Hạ: (H, - H2) < 0 versus H,: (H, - H,) > 0 O Hạ: (H, - H2) = 0 versus H,: (H, - H2) = 0 O Hạ: (H, - H2) = 0 versus H,: (H, – H2) = o Find the test statistic. (Round your answer to two decimal places.) Find the rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) State your conclusion. O H, is not rejected. There is insufficient evidence to indicate that there is a difference in the average SAT scores for the two states. Ho is rejected. There is sufficient evidence to indicate that there is a difference in the average SAT scores for the two states. O Hg is rejected. There is insufficient evidence to indicate that there is a difference in the average SAT scores for the two states. Ho is not rejected. There is sufficient evidence to indicate that there is a difference in the average SAT scores for the two states. Use the p-value approach to test for a significant difference in the average SAT scores for these two states. (Use a = 0.05.) Find the p-value. (Round your answer to four decimal places.) p-value = | If you were writing a research report, how would you report your results? The null hypothesis -Select-- v rejected. There is --Select-- v evidence to conclude that (u, - H,) ? o.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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this question has part a and b.

The null hypothesis ---Select--- is or is not rejected. There is 
---Select--- sufficient or insufficient evidence to conclude that (?1 − ?2) 
---Select--- ? < > = ≠ 0.

How do states stack up against each other in SAT scores? To compare State 1 and State 2 scores, random samples of 100 students from each state were selected and their SAT scores recorded with the following results. (Use μ₁ for State 1 and μ₂ for State 2.) | State | Mean | Sample Size | Standard Deviation | |---------|-------|-------------|--------------------| | State 1 | 1,124 | 100 | 196 | | State 2 | 1,047 | 100 | 167 | ### (a) Critical Value Approach Test for a significant difference in the average SAT scores for these two states at the 5% level of significance. **State the null and alternative hypotheses:** - \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) < 0 \) - \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) > 0 \) - \( H_0: (\mu_1 - \mu_2) < 0 \) versus \( H_a: (\mu_1 - \mu_2) > 0 \) - \( H_0: (\mu_1 - \mu_2) > 0 \) versus \( H_a: (\mu_1 - \mu_2) = 0 \) - \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) \neq 0 \) **Find the test statistic:** \( z = \_\_\_ \) (Round your answer to two decimal places.) **Find the rejection region:** (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) - \( z > \_\_\_ \) - \( z < \_\_\_ \) **State your conclusion:** - \( H_0 \) is not rejected. There is insufficient evidence to indicate that there is a difference in the average SAT scores for the two states. - \( H_0 \) is rejected. There is sufficient evidence to indicate that there is
Transcribed Image Text:How do states stack up against each other in SAT scores? To compare State 1 and State 2 scores, random samples of 100 students from each state were selected and their SAT scores recorded with the following results. (Use μ₁ for State 1 and μ₂ for State 2.) | State | Mean | Sample Size | Standard Deviation | |---------|-------|-------------|--------------------| | State 1 | 1,124 | 100 | 196 | | State 2 | 1,047 | 100 | 167 | ### (a) Critical Value Approach Test for a significant difference in the average SAT scores for these two states at the 5% level of significance. **State the null and alternative hypotheses:** - \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) < 0 \) - \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) > 0 \) - \( H_0: (\mu_1 - \mu_2) < 0 \) versus \( H_a: (\mu_1 - \mu_2) > 0 \) - \( H_0: (\mu_1 - \mu_2) > 0 \) versus \( H_a: (\mu_1 - \mu_2) = 0 \) - \( H_0: (\mu_1 - \mu_2) = 0 \) versus \( H_a: (\mu_1 - \mu_2) \neq 0 \) **Find the test statistic:** \( z = \_\_\_ \) (Round your answer to two decimal places.) **Find the rejection region:** (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) - \( z > \_\_\_ \) - \( z < \_\_\_ \) **State your conclusion:** - \( H_0 \) is not rejected. There is insufficient evidence to indicate that there is a difference in the average SAT scores for the two states. - \( H_0 \) is rejected. There is sufficient evidence to indicate that there is
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