Test Information Description Instructions You are the plant manager for a coffee company. The company produces cans of coffee which are supposed to contain 3 Ibs of coffee on average. You suspect that something is wrong with the manufacturing process and that too little coffee is being put into the cans. You decide to evaluate this using a hypothesis test. You order a random sample of 36 cans to be pulled from the production line and weigh the amount of coffee from each of the cans in that sample. The average from the sample 2.92 pounds. Assume that the population standard deviation for the weight of the coffee in the cans is 0.18.QUESTION 1 What are Ho and Ha for this test? O Ho: mu>2.92; Ha: mu=3.00 O Ho: mu=2.92; Ha: mu=2.92 O Ho: mu=3.00; Ha: mu3.00; Ha: mu=3.00 QUESTION 2 What are the facts for this problem? O sigma=2.92;x-bar=3.00;mu=0.18 O sigma=0.18;x-bar=2.92;mu=3.00 O sigma=0.18;x-bar=3.00;mu=2.92 QUESTION 3 What is the correct table to use for this problem? O Table D because we need the degrees of freedom O Table F because it is a chi-square problem O Table A because sigma is assumed to be known QUESTION 4 The correct formula to use is O (xbar-sigma)/mu O (xbar-sigma)/[mu/square root(n)] O (xbar-mu)/[sigma/square root(n)] O (xbar-mu)/[sigma]QUESTION 5 The calculated value for Z is O -1.67 O 2.67 O -2.67 O 1.67 QUESTION 6 The p-value for the problem is O 0.0038 O 0.38 O 38% O 0.9963 QUESTION 7 Assume that alpha=1%. Based on the correct p-value, the statistical conclusion is O Reject Ha for Ho Fail to reject Ha for Ho O Fail to reject Ho for Ha O Reject Ho for HaQUESTION 8 The interpretation of the statistical conclusion is O There is not enough statistical evidence to conclude that the sample average is less than 3 O The average is less than 3 in the sample O The average is less than 3 in the population O There is not enough statistical evidence to conclude that the population average is less than 3