Results Treatment Group Control Group Average SAT score (X) 1348 1395 Standard deviation of SAT score (Sx) 87.3 82.1 Number of men 60 40 Number of women 40
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Suppose in a randomized controlled experiment of the effect of a SAT
preparatory course on SAT scores, the attachment includes results are reported:
a. Estimate the average treatment effect on test scores.
b. Is there evidence of nonrandom assignment? Explain.
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- Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 54% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 12 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.01 level of significance? Complete parts (a) through (g). (a) State the appropriate null and alternative hypotheses. Ho: (Type integers or decimals. Do not round.) versus H,:A large department store examined a sample of the 21 credit card sales and recorded the amounts charged for each of three types of credit cards: MasterCard, Visa, and Discover. Six MasterCard sales, seven Visa, and eight Discover sales were recorded. The store used an ANOVA to test if the mean sales for each credit card were equal. What are the degrees of freedom for the F statistic?Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
- The table below lists body temperatures obtained randomly selected subjects. The temperatures are categorized according to gender and whether the subject uses drug. Using a 0.05 significance level, test for an interaction between gender and usage of drug, test for an effect from gender, and test for an effect from usage of drug. What do you conclude? Use Drug Does Not Use Drug Male 98.4 97.4 96.8 98.2 98.4 97.4 97.4 98.0 Female 98.6 99.3 98.2 98.6 97.0 98.4 97.2 98.7According to IT department of leading financial firm, 50% of emails received by their employees are spam. They are planning to install a software which filters the spam emails. A reputable cybersecurity brand has launched a software which claims to detect 99% of spam emails. However, they have also reported 5% as the chance of detecting a non-spam email as spam. If an email is detected as spam, what is the probability of it in fact being a non-spam email?A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know Male 334 156 48 Female 314 134 44 Click here to view the chi-square distribution table. Но The sex of the respondent and the choice for the cause of global warming are independent. Hy: The sex of the respondent and the choice for the cause of global warming are dependent. Compute the test statistic. (Round to three decimal places as needed.) Find the critical value(s). (Round to three decimal places as needed. Use a comma to separate answers as needed.) What is…
- Use the attached table to answer the following: What is the dependent (response, outcome) variable? What is the independent (explanatory) variable? Describe the pattern of association between subjective class and satisfaction with financial situation.A Bloomberg Businessweek subscriber study asked, "In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often?" A second question asked if the type of flight was domestic or international travel. Sample data obtained are shown in the following table. Type of Flight Type of Ticket Domestic International First Class 26 21 Business Class 99 123 Economy Class 515 137 a. Using a 0.05 level of significance, is the type of ticket purchased independent of the type of flight? Ho: Type of ticket purchased is independent of the type of flight H.: Type of ticket purchased is not independent of the type of flight v Compute the value of the x test statistic (to 2 decimals). Use Table 3 of Appendix B to find the p-value. The p-value is - Select your answer - What is your conclusion? Conclude that the type of ticket purchased Select your answer - v the type of flight. b. Discuss any dependence that exists between the type of ticket and type of flight. I.…A poll was conducted to investigate opinions about global warming. The respondents who answered yes when asked if there is solid evidence that the earth is getting warmer were then asked to select a cause of global warming. The results are given in the accompanying data table. Use a 0.01 significance level to test the claim that the sex of the respondent is independent of the choice for the cause of global warming. Do men and women appear to agree, or is there a substantial difference? Human activity Natural patterns Don't know 172 Male 315 55 Female 306 145 57 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Ho: and are H: and are Chi-square distribution table Area to the Right of the critical value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 1 0.001 0.004 0.016 2.706 0.010 0.020 0.051 0.103 0.211 4.605 0.072 0.115 0.216 0.352 0.584 6.251 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 Click to select…
- Q) A doctor wants to try three different techniques to investigate the blood pressure of people diagnosed with high blood pressure. The first group of subjects takes medication, the second group does exercises, and the third group follows a special diet. A month later, the reduction in each person's blood pressure is recorded. At 5% significance level, test the claim that there is no difference among the means. The data are shown. Medication Exercise Diet 10 5 12 8. 9. 9. 3 12 15 8. 13 2 4Look at the following APA sentence summaries for a One-Sample t-test. Which APA sentence could be accurately described as showing a One-Sample-test that had a sample size of 41, failed to reject the null and had a medium-sized treatment effect? A. t(40)=3.55, p>.01, d=0.52 B. t(39)=3.55, p<.05, d=1.52 C. t(40)=2.37, p<.05, d=0.12 D. t(39)=3.55, p<.01, d=0.52Two professors at a local college developed a new teaching curriculum designed to increase students' grades in math classes. In a typical developmental math course, 55% of the students complete the course with a letter grade of A, B, or C. In the experimental course, of the 15 students enrolled, 11 completed the course with a letter grade of A, B, or C. Is the experimental course effective at the a = 0.1 level of significance? Complete parts (a) through (g). Is there sufficient evidence to support the research that the experimental course is effective? A. No, reject the null hypothesis because the P-value is less than a. There is insufficient evidence to conclude that the experimental course is effective. B. Yes, reject the null hypothesis because the P-value is less than a. There is sufficient evidence to conclude that the experimental course is effective. CC. No, do not reject the null hypothesis because the P-value is greater than a. There is insufficient evidence to conclude that…