The head of a chocolate factory called you to check whether the production follows the requirements. Chocolate bars should individually weigh 43 grams. You have collected a sample of 105 bars, with an average weight of 39.5 grams and a standard deviation of 2.35 grams. Let Hold and pnew be the required weight of a chocolate bar and the average weight of sampled chocolate bars respectively. Let up be the mean of the differences between the required weight of a chocolate bar and the average weight of sampled chocolate bars. Part (A) Using a significance of 0.01, does the weight average match the requirements? Specify the null and alternative hypotheses. O (a) Ho: Hnew-Hold 20, H: Hnew Hold <0 O (b) Ho : µp <0, H1: up 2 0 O (c) Ho: µp 0, H1: µD= 0 O (d) Ho: µnew- Hold 0, H1: Hnew- Hold>0 O (e) Ho : µp > 0, H1 : µp S O () Ho: Hnew - Hold = 0, H1:µ-Hold #0 O (g) Ho : µnew – Hold 7 0, H1:µnew Hold = 0 O (h) Ho : Hnew Hold <0, Hị: Hnew Hold > 0 O Ho: HD= 0, H1 : µp#0 O ) Ho: µnew – Hold > 0, H1: Pnew - Hold <0 O (k) Ho : µD <0, H1 : µp > 0 O () Ho: HD 2 0, H1: Hp<0 Calculate the absolute value of the test statistic. number (rtol=D0.01, atol=D0.0001) Calculate the absolute value of the test statistic that would correspond to a= 0.01. number (rtol=D0.01, atol=D0.0001) State your decision. O (a) Reject HO

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