You may need to use the appropriate technology to answer this question. A personal fitness company produces both a deluxe and a standard model of a smoothie blender for home use. Selling prices obtained from a sample of retail outlets follow. Model Prloe ($) (a) The manufacturer's suggested retail prices for the two models show a $10 price differential. Use a 0.05 level of signicance and test that the mean difference between the prices of the two models is $10. State the null and alternative hypotheses. (Use \"d = mean price for the deluxe model mean price for the standard model.) " H0: \"d = 10 Ha: \"d :2 1o ' Ho: \"d S 10 Ha: \"d > 10 \\ H0: yd > 10 Ha: [4d S 10 " Ho: \"d = 10 Ha: \"d s 10 ' H0: \"d 10 Ha: \"d = 10 Calculate the value of the test statistic. (Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not Reject Ho. There is sufficient evidence to conclude that a $10 price differential exists. Reject Ho. There is insufficient evidence to conclude that a $10 price differential exists. Reject Ho. There is sufficient evidence to conclude that a $10 price differential exists. Do not reject Ho. There is insufficient evidence to conclude that a $10 price differential exists. (b) What is the 95% confidence interval for the difference between the mean prices of the two models (in dollars)? (Round your answers to nearest cent. Use the mean price for the deluxe model - the mean price for the standard model.) $ to $