) A recent government report claims that the average house selling price in North Wales is £196,000. In a random sample of 250 recent house sales in North Wales, the average selling price was £202,795 with a standard deviation of £36,000. (i) Test the null hypothesis that the population mean average house selling price is £196,000 against a one-sided alternative that the population mean average house selling price is more than £196,000. Use a significance level of α=0.05  (ii) Does the statistical evidence support the claim that the average house selling price in North Wales is £196,000?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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a) A recent government report claims that the average house selling price in North Wales is £196,000. In a random sample of 250 recent house sales in North Wales, the average selling price was £202,795 with a standard deviation of £36,000.

(i) Test the null hypothesis that the population mean average house selling price is £196,000 against a one-sided alternative that the population mean average house selling price is more than £196,000. Use a significance level of α=0.05 

(ii) Does the statistical evidence support the claim that the average house selling price in North Wales is £196,000? Explain your answer 

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