In response to a complaint that a particular tax assessor (1) was biased, an experiment was conducted to compare the ass

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In Response To A Complaint That A Particular Tax Assessor 1 Was Biased An Experiment Was Conducted To Compare The Ass 1 (93.7 KiB) Viewed 79 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 1 277.0 275.2 287.3 2 289.2 3 279.5 276.9 290.9 4 294.9 5 269.2 268.4 6 280.7 7 282.9 276.5 279.7 275.4 8 279.6 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 N Mean St Dev SE Mean Assessor 1 8 281.11 7.96 2.81 Assessor 2 8 279 30 7 14 2.53 MINITAB Output Estimation for Paired Difference Mean St. Dev SE Mean 95% Lower Bound for y_difference 1.011 1.812 1,197 0.423 W_difference: mean of (Assessor I - Assessor 2) Test Null hypothesis Alternative hypothesis T-Value 4.28 HO: H_difference = 0 H: H_difference > 0 P-Value 0.002 (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.
(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. O Ho: Mo - 0 versus Ha: Ho<0 O Ho: Mo<0 versus Hai Hd > 0 O Ho: Mg # O versus Hai Hd = 0 O Ho: Mg = 0 versus Hai Hd=0 O Ho: Mo 0 versus Ha: " > 0 State the test statistic. t = State the p-value. State the conclusion. OH, is rejected. There is sufficient evidence to indicate assessor A gives higher assessments than assessor B. O Ho is not rejected. There is insufficient evidence to indicate assessor A gives higher assessments than assessor B. O He is rejected. There is insufficient evidence to indicate assessor A gives higher assessments than assessor B. O He is not rejected. There is sufficient evidence to indicate assessor A gives higher assessments than assessor B. (b) Estimate 95% lower one-sided confidence bound. (Use Mi - M2) (c) What assumptions must you make in order for the inferences in parts (a) and (b) to be valid? (Select all that apply.) The sample size must be greater than 5 for each assessor. The assessments must be normally distributed. The properties must be randomly selected. The variance of the data sets for both assessors must be equal. The properties must be independently selected.