Reference no: EM132845420

1. The mean weight of the adult Australian animal Swamp Wallaby the previous year was 15.4kg with a standard deviation of 2.5kg. This year a sample of 35 Swamp Wallaby were randomly selected and their given mean weight was 14.6kg. At 0.05 significant level can we state that the mean weight of Swamp Wallaby does not differ from the previous year? (Two - Tailed test)

2. Let us assume that the nutrition table on a biscuit pack states that the protein of a single biscuit is 2 grams with population standard deviation ?? = 0.25 grams. A sample of 35 biscuits were randomly chosen and the mean protein per biscuit was 2.1 grams. At 0.05 significance level can we reject the claim of the nutrition table on the specific pack? (Two - Tailed test)

3. Let us assume that the nutrition table on a biscuit pack states that the protein of a single biscuit is maximum 2 grams with population standard deviation ?? = 0.25 grams. A sample of 35 biscuits were randomly chosen and the mean protein per biscuit was 2.1 grams. At 0.05 significance level can we reject the claim of the nutrition table on the specific pack? (Hint: ??0: ?? ≤ 2 ?????? ??1: ?? > 2 . Right Tailed test)

4. A manager of a famous fast food company states that the previous month the queue mean time of the costumer service delay was at least 3.7 minutes with a standard deviation of 0.8 minutes. He decided to hire one more employee to reduce the delay time this month. To check whether the situation has improved he randomly chosen a sample of 64 costumers. The sample mean queue delay time is 3.57 minutes. At 0.05 significance level is there evidence that the population queue mean time service delay is now less than 3.7 minutes?(Hint: ??0: ?? ≥ 3.7 ?????? ??1: ?? < 3.7. Left-tailed test)