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To check for consistency, you have each of the two home appraisers in your office appraise the same randomly selected 10 homes. Is there evidence

To check for consistency, you have each of the two home appraisers in your office appraise the same randomly selected 10 homes. Is there evidence that Appraiser 1 appraises homes differently than Appraiser 2? Assume normality. Show all work when answering parts a-h.

Appraiser 1 Appraiser 2
102,000 104,000
98,000 94,000
178,700 169,700
238,000 213,000
158,000 155,000
92,000 88,000
112,500 116,500
289,000 276,000
138,000 128,000
165,000 173,000
  1. State the null and alternate hypothesis.
  2. Using the data provided, find the mean of the difference.
  3. What is the standard deviation of the difference?
  4. What is the value test statistic?
  5. What is the p-value?
  6. Interpret the p-value.
  7. Find a 95% confidence interval for the data.
  8. State your conclusion for the hypothesis test in context.

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