please help with these homework practice problems, thanks!

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 1 39 27 5 40 30 2 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 the two models is $10. Develop the null and alternative hypotheses. How9 Ha=[.l.d notequaltolo 9 Calculate the value of the test statistic. If required enter negative values as negative numbers. Use z-table. (to 2 decimals). 0 Thep-....e ..@ Can you conclude that the price differential is not equal to $10? 9 b. what is the 95% condence interval for the difference between the mean prices of the two models (to 2 decimals)? ( 0 0)