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 39 27 40 30 39 28 6. 39 34 3 45 35 7. 35 29 4 38 30 a. The manufacturer's 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 th $10. Develop the null and alternative hypotheses. HO = Hd equal to 10 Ha = Hd not equal to 10 Calculate the value of the test statistic. If required enter negative values as negative numbers. (to 2 decimals). The p-value is between .20 and .40 V Can you conclude that the price differential is not equal to $10? No 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. 11.42 O

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