Answer Happy

In response to a complaint that a particular tax assessor (1) was biased, an experiment was conducted to compare the assessor named in the complaint with another tax assessor (2) from the same office. Eight properties were selected, and each was assessed by both assessors. The assessments (in thousands of dollars) are shown in the table. Assessor 2 Property 1 2 Assessor 1 275.9 288.7 2700 279.9 2017 294.1 269.2 3 4 274.5 286.9 278.1 290.7 268.8 281.1 274.4 278.3 5 6 7 282.1 275.4 278.6 8 Use the MINITAB printout to answer the questions that follow. (Use the exact values found in the MINITAB output.) Paired T-Test and CI: Assessor 1, Assessor 2 Descriptive Statistics Sample N Mean StDev SE Mean Assessor 1 280.49 7.87 2.70 Assessor 2 B 279.10 7.07 2.50 Estimation for Paired Difference Mean StDev SE Mean 1.387 0.989 0.350 u_difference: mean of Assessor 1 - Assessor 2) 95% Lower Bound for k_difference 0.725 Test Null hypothesis H: 4_difference = 0 Alternative hypothesis HH_difference > 0 I-Value P-Value 3.97 0.003 (a) Do the data provide sufficient evidence to indicate that assessor 1 tends to give higher assessments than assessor 22 (Use a = 0.05) State the null and alternative hypotheses. OHH = 0 versus H: K=0 OH, H. < 0 versus H: 4 > 0 : HH > 0 OHH. = O versus H: > 0 OH:14, +O versus H: 4, = 0 OH, 4 = versus H: 4.0 = Ha < State the test statistic. State the p-value. State the conclusion, OH, is not rejected. There is sufficient evidence to indicate assessor A gives higher assessments than assessor B. OH is not rejected. There is insufficient evidence to indicate assessor A gives higher assessments than assessor B. OH, is rejected. There is sufficient evidence to indicate assessor A gives higher assessments than assessor B. OH, is rejected. There is insufficient evidence to indicate assessor A gives higher assessments than assessor B. (b) Estimate a 95% lower one-sided confidence bound. (Use - 42.) (c) What assumptions must you make in order for the inferences in parts (a) and (b) to be valid? (Select all that apply.) The properties must be randomly selected. The sample size must be greater than 5 for each assessor. 5 . The assessments must be normally distributed The properties must be independently selected. The variance of the data sets for both assessors must be equal.