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 Price ($) Retail Outlet Deluxe Standard 1 39 27 2 39 28 3 44 36 4 38 30 5 40 30 6 39 35 7 34 29 (a) The manufacturer's suggested retail prices for the two models show a $10 price differential. Use a 0.05 level of significance and test that the mean difference between the prices of the two models is $10. State the null and alternative hypotheses. (Use # = mean price for the deluxe model - mean price for the standard model.) O Ho: Ha = 10 Ha: My # 10 O Ho: H # 10 Ha: Hy = 10 OH: H > 10 Ha: H = 10 O Ho: Ha S 10OH: H > 10 He: MS 10 O Ho: H S 10 Ha: H > 10 O Ho: Hd = 10 Hai HS 10 Calculate the value of the test statistic. (Round your answer to three decimal places.) -1.917 X Calculate the p-value. (Round your answer to four decimal places.) p-value = .1046 X State your conclusion. Do not reject Ho. There is insufficient evidence to conclude that a $10 price differential exists. O Do not Reject Ho. There is sufficient evidence to conclude that a $10 price differential exists. O Reject Ho. There is sufficient evidence to conclude that a $10 price differential exists. O 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.) $ 5.44 x to $ 10.56 1x