certain pen has been designed so that true average writing Ifetime under controlled conditions (involving the use of a witing machine) is at least 10 hours. A r. smple of 20 pens is selected, the wribing lifetime of each is determined, and a normal probability plot of the resulting data supports the use of a one-sample t tes (a) What hypotheses shouid be tested if the investigators believe a pron that the design specification has been satisfied? (b) What canclusion as aooropriste if the hypotheses of part (e) are teated. =2.3, and a =0.05 ? (Round your p-value to three decimal places.) State the conclusion in the problem context. Keject the nulfypothenc. There is bulficient evidence to conclude that the pene do not meet the design apecifications. oo not roject the muli hypothems. There in pot vidficiant evidence ko conelide that the penx do not meet the design apecifications. fichalue State the condusion in the problem cortent Reject the null hypothezs. There is sufficient evidence to conclide thar the pens do not meet the deaign specifications. Do not reject the nul hrpothesis. There is aufficient widence to conelude that the pens do not meet the deaign specifications. Do not reject tbe mali hypothesis. There is not sufficient evidence to condude that the pens do not meet the design specificationa. Reject the null bypothesis. There is not sutficient evideoce to conduce that the pens do not meet the dealgn specications. (d) What conclusion is aeoropriate if the hypotheses of part (a) are tested, f=3.6, and a0.017 (Round your. Arvalue to three decimal places.) Prvalue = Fite the canclusion in the problem contect. Do not reitct the nult hypothesis. There is not rufficient evidence to conclude ehat the gens do not meet the devigo specifications. Reject the null hypothesis. There is niot suffieient evidence to conclude that the pens do not meat the design specifications- Do not refect the null hypothetis. There ix rufficient evidence to conclode that the pers do not meet the deaigh specifications. Peject the null hypothesis. There is sufficent evidence to conclude that the pent do not meet the design specificationa. certain pen has been designed so that true average writing Ifetime under controlled conditions (involving the use of a witing machine) is at least 10 hours. A r. smple of 20 pens is selected, the wribing lifetime of each is determined, and a normal probability plot of the resulting data supports the use of a one-sample t tes (a) What hypotheses shouid be tested if the investigators believe a pron that the design specification has been satisfied? (b) What canclusion as aooropriste if the hypotheses of part (e) are teated. =2.3, and a =0.05 ? (Round your p-value to three decimal places.) State the conclusion in the problem context. Keject the nulfypothenc. There is bulficient evidence to conclude that the pene do not meet the design apecifications. oo not roject the muli hypothems. There in pot vidficiant evidence ko conelide that the penx do not meet the design apecifications. fichalue State the condusion in the problem cortent Reject the null hypothezs. There is sufficient evidence to conclide thar the pens do not meet the deaign specifications. Do not reject the nul hrpothesis. There is aufficient widence to conelude that the pens do not meet the deaign specifications. Do not reject tbe mali hypothesis. There is not sufficient evidence to condude that the pens do not meet the design specificationa. Reject the null bypothesis. There is not sutficient evideoce to conduce that the pens do not meet the dealgn specications. (d) What conclusion is aeoropriate if the hypotheses of part (a) are tested, f=3.6, and a0.017 (Round your. Arvalue to three decimal places.) Prvalue = Fite the canclusion in the problem contect. Do not reitct the nult hypothesis. There is not rufficient evidence to conclude ehat the gens do not meet the devigo specifications. Reject the null hypothesis. There is niot suffieient evidence to conclude that the pens do not meat the design specifications- Do not refect the null hypothetis. There ix rufficient evidence to conclode that the pers do not meet the deaigh specifications. Peject the null hypothesis. There is sufficent evidence to conclude that the pent do not meet the design specificationa