A manufacturer produces both a deluxe and a standard model of anautomatic sander designed for home use. Selling prices obtainedfrom a sample of retail outlets follow.

	Model Price($)			Model Price($)
Retail Outlet	Deluxe	Standard		Retail Outlet	Deluxe	Standard
1	40	27		5	40	30
2	39	28		6	39	32
3	43	35		7	36	29
4	38	31

The manufacturer's suggested retail prices for the two modelsshow a $10 price differential. Use a .05 level of significance andtest that the mean difference between the prices of the two modelsis $10.

Develop the null and alternative hypotheses.
H 0 =  d Selectgreater than 10greater than orequal to 10equal to 10less than or equal to 10less than 10not equalto 10Item 1  
H a =  d Selectgreater than 10greater than orequal to 10equal to 10less than or equal to 10less than 10not equalto 10Item 2  

Calculate the value of the test statistic. If required enternegative values as negative numbers. (to 2 decimals).
  

The p-value is Selectless than .01between .10 and.05between .05 and .10between .10 and .20between .20 and .40greaterthan .40Item 4  

Can you conclude that the price differential is not equal to$10?
SelectYesNoItem 5  

What is the 95% confidence interval for the difference betweenthe mean prices of the two models (to 2 decimals)? Usez-table.
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