(Solved): NOTE: SHOW YOUR WORK FOR EACH QUESTION TO EARN FULL CREDIT. 1. (a) (4 points) Write the null and al ...

NOTE: SHOW YOUR WORK FOR EACH QUESTION TO EARN FULL CREDIT. 1. (a) (4 points) Write the null and alternative hypothesis if the claim is that the mean weight is less than 65. (b) (4 points) Write the decision rule for the above case at 3% level of significance using z. (c) (4 points) Using the information in parts (a) and (b) given above, what is your conclusion if the sample statistic (z) was found to be -1.75? 2. The average weight of an item is supposed to be equal to 55. To test this at 1.0% level of significance, a sample of 12 items was taken. The population standard deviation of weight is not known. (a) (4 points) Write the null and alternative hypotheses. 1 (b) (4 points) Write the decision rule.