PYC3714 Assignment 2 (ANSWERS) Semester 2 2026 - DISTINCTION GUARANTEED

Comprehensively structured PYC3714 Assignment 2 (ANSWERS) Semester 2 2026 - DISTINCTION GUARANTEED. Prepared to a distinction standard with detailed and well-developed responses... Write an appropriate research hypothesis (directional), in words. Convert to formal statistical hypotheses (H₀ and H₁) using population symbols. Calculate descriptive statistics for Extra tutorial and No Extra tutorials (sample size, mean, standard deviation). State which statistical test is appropriate and why. Carry out the test (show step-by-step calculations). With a calculated p-value of 0.048 and α = 0.05 (one-tailed), determine statistical significance. State your conclusion in plain language. State which effect-size measure to compute. Calculate the effect size and show formula substitution. Interpret the effect size. Draw (or describe) the scatter plot and indicate the expected direction of correlation. Scenario: A lecturer wants to see if students who attend extra tutorial sessions will have improved exam scores. The following exam scores were recorded for those who received extra tutorial sessions and those who did not. Let extra tutorial be μ_1 and no extra tutorial be μ_2 Extra tutorials (EX) 78, 85, 90, 72, 80, 60, 65, 75,87, 95 No extra tutorials 52, 49, 55, 48, 60, 54, 40, 30, 50, 33 Write an appropriate research hypothesis (directional), in words. (2 marks) Convert to formal statistical hypotheses (H₀ and H₁) using population symbols. (2 marks) Calculate descriptive statistics for Extra tutorial and No Extra tutorials (sample size, mean, standard deviation). (4 marks) State which statistical test is appropriate and why. (1 mark) Carry out the test (show step-by-step calculations). (4 marks) With a calculated p-value of 0.048 and α = 0.05 (one-tailed), determine statistical significance. (1 mark) State your conclusion in plain language. (2 marks) . State which effect-size measure to compute. (1 mark) Calculate the effect size and show formula substitution. (2 marks) Interpret the effect size. (1 mark) Based on the scatter plot, state hypotheses for significance of correlation in symbols (directional). Calculate Pearson’s r with full arithmetic (show ΣX, ΣY, ΣX², ΣY², ΣXY and substitute into the standard r formula). State what kind of correlation you expect from the plot and calculations (e.g., positive/negative). Test significance if p = 0.001 when α = 0.01 and conclude. Compute expected frequencies for each cell. Show formula and substitution into the formula. Which statistical test is appropriate and why? State your hypothesis. Calculate the χ² statistic (show (O−E)²/E cell by cell and the sum). Using α = 0.05 and the p-value of 0.057, state whether significant. Give a short plain-language conclusion. Scenario: The lecturer wants to investigate whether there is a relationship between hours spent studying and exam scores. Study hours (Y) 7 14 4 17 8 3 19 5 20 7 Exam score (X) Draw (or describe) the scatter plot and indicate the expected direction of correlation. (Based on the scatter plot, state hypotheses for significance of correlation in symbols (directional). Calculate Pearson’s r with full arithmetic (show ΣX, ΣY, ΣX², ΣY², ΣXY and substitute into the standard r formula). State what kind of correlation you expect from the plot and calculations (e.g., positive/negative). Test significance if p=0.001 when (α = 0.01) and conclude Write an appropriate research hypothesis (directional), in words. Convert to formal statistical hypotheses (H₀ and H₁) using population symbols. Calculate descriptive statistics for Extra tutorial and No Extra tutorials (sample size, mean, standard deviation). State which statistical test is appropriate and why. Carry out the test (show step-by-step calculations). With a calculated p-value of 0.048 and α = 0.05 (one-tailed), determine statistical significance. State your conclusion in plain language. State which effect-size measure to compute. Calculate the effect size and show formula substitution. Interpret the effect size. Draw (or describe) the scatter plot and indicate the expected direction of correlation. Based on the scatter plot, state hypotheses for significance of correlation in symbols (directional). Calculate Pearson’s r with full arithmetic (show ΣX, ΣY, ΣX², ΣY², ΣXY and substitute into the standard r formula). State what kind of correlation you expect from the plot and calculations (e.g., positive/negative). Test significance if p = 0.001 when α = 0.01 and conclude. Compute expected frequencies for each cell. Show formula and substitution into the formula. Which statistical test is appropriate and why? State your hypothesis. Calculate the χ² statistic (show (O−E)²/E cell by cell and the sum). Using α = 0.05 and the p-value of 0.057, state whether significant. Give a short plain-language conclusion. Scenario: The lecturer also wants to know if there is an association between gender and the results (pass or failure outcomes)? Gender Pass Fail Row total Male 5 5 10 Female 6 4 10 Column total 11 9 20 3.1. Compute expected frequencies for each cell. Show formula and substitution into the formula (4 marks) 3.2. Which statistical test is appropriate and why? (1 mark) 3.3 State your hypothesis (2 marks) 3.4. Calculate the χ² statistic (show (O−E)²/E cell by cell and the sum). (4 marks) 3.5. Using α = 0.05 and the p-value of 0.057. State whether significant. (1 mark) 3.6. Give a short plain-language conclusion. (2 marks) Read less