Only Solve For Part B And C 1 (36.03 KiB) Viewed 83 times
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 1 276.2 274.8 287.5 2 287.5 3 280.1 276.6 4 289.7 295.6 268.4 5 268.8 6 282.4 280.7 7 276.3 275.4 8 279.8 279.0 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 St Dev SE Mean Assessor 1 8 280.79 8.13 2.88 Assessor 2 8 279.06 6.87 2.43 Estimation for Paired Difference Mean St Dev SE Mean 95% Lower Bound for u_difference 0.345 1.725 2.060 0.728 u_difference: mean of (Assessor 1 - Assessor 2) Test Null hypothesis Alternative hypothesis Ho: u_difference = 0 H.: u_difference > 0 P-Value 0.025 T-Value 2.37
State the test statistic. t = 2.37 State the p-value. 0.025 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. O Ho is rejected. There is insufficient 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. (b) Estimate a 95% lower one-sided confidence bound. (Use My - M2) 0.845 x (c) What assumptions must you make in order for the inferences in parts (a) and (b) to be valid? (Select all that apply.) The assessments must be normally distributed. The properties must be independently selected. The sample size must be greater than 5 for each assessor. The properties must be randomly selected. The variance of the data sets for both assessors must be equal. X O
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