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A manufacturer produces both a deluxe and a standard model of an automatic sander designed for home use. Selling prices obtained from a sample of retail outlets follow Model Price ($) Model Price ($) Retail Outlet Deluxe Standard Retail Outlet Deluxe Standard 27 28 35 31 40 39 36 30 32 29 7 a. The manufacturers suggested retail prices for the two models show a 10 price differential. Use a.05 level of significance and test that the mean difference between the prices of the two models is $10 Develop the null and alternative hypotheses H0d Select Ha dSelect Calculate the value of the test statistic. If required enter negative values as negative numbers. (to 2 decimals) The p-value is Select Can you conclude that the price differential is not equal to $10? Select Y b, what is the 95% confidence interval for the difference between the mean prices of the two models (to 2 decimals)? Use a t-table.

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