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. Please label each part a, b, and c, and please make sure to label each part! Thank you. In part C please write the ones that apply.
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. Property Assessor 1 Assessor 2 277. 274.6 289.1 286.9 279.4 276.5 295.1 291.3 267. 268.8 282.3 280.9 276.2 276.1 278.7 279.9 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 Descriptive Statistics Sample Mean StDev SE Mean Assessor 1 280.73 8 . 31 2.94 Assessor 2 279 .38 7.12 2.52 Estimation for Paired Difference Mean StDev SE Mean 95% Lower Bound for u_difference 1. 350 1.835 0. 649 0. 121 u_difference: mean of (Assessor 1 - Assessor 2) Test Null hypothesis Ho: M_difference = 0 Alternative hypothesis H1: /_difference > 0 T-Value P-Value 2. 08 0 . 038 (a) Do the data provide sufficient evidence to indicate that assessor 1 tends to give higher assessments than assessor 2? (Use a = 0.05) State the null and alternative hypotheses. Ho: Md = 0 versus Ha: Hd > 0 Ho: Hd = 0 versus Ha: Hd 0 Ho: Hd # 0 versus Ha: Hd = 0 State the test statistic. t = State the p-value. State the conclusion. Ho is rejected. There is sufficient evidence to indicate assessor A gives higher assessments than assessor B. Ho is not rejected. There is sufficient evidence to indicate assessor A gives higher assessments than assessor B. Ho is not rejected. There is insufficient evidence to indicate assessor A gives higher assessments than assessor B. Ho 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 #1 - #2.) (c) What assumptions must you make in order for the inferences in parts (a) and (b) to be valid? (Select all that apply.) 1 The properties must be independently selected. 2 The sample size must be greater than 5 for each assessor. 3 The ass essments must be normally distributed. 4 The properties must be randomly selected. 5 The variance of the data sets for both assessors must be equal
