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A manulacturer of chocolate candies uses machines to package condies as they move along a filing ine. Anthough the peckages are labelod as 8 ounces, the combary wants the packages is contain a mean of \( 8.17 \) ounces so that vitually none of the pockagos contain loss than 8 ounces. A sample of 50 packages is selected periodicaly, ard the packngins frocess is nitspoed If there in evidence that the mean amount packaged is diflerent from \( 8.17 \) ounces. Suppose that in a particular sample of 50 pacheges, the meman amount Gispensed is a.152 ouncet, with a sample standard deviation of \( 0.048 \) ounce. Completo parts (a) and (b). Cick here io view page 1 ot the criscal yalues for the 1 Distribution. Click hece to yick page 2 of the cricical vnlum for the 1 Distrbution a. Is there evidence that the population mean amount is dfferent from \( 8.17 \) ounces? (Use a o. o5 level of signilcance) State the nudi and altarnative typotheses. Lentfy the crifical value(s). The crocal value(s) is(are) (Round to four decimal places as needed. Use a comma to stparate answtr as needed) Deternine the ted atatitc. The teat statisse is (Round to love decinwal places as reeded.) Stase the conclusion, b. Determine the p yalle and interpret ts meaving The p-value is (Round to for secmal places as neesed)
devarion ol 0 O4t cunce. Compinle pars (a) and (b) lientify the cricai valief(t) The oricat value/vj alare| (Found so four decin al pisces as needed: Use a conma io teparate arwwers as neded) Deter ine the levi atatutc. The teas alatetic is (ifeunt io lour decmar piuces an needed? Bale the considion. Tisterieie it

Given data: • Sample size, n = 50 • Sample mean, x? = 8.152 ounces • Sample

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