To answer questions 1-3, please read the following: What dist cution should be used for hypothesis tests for mean 1) Use normal distribution if standard deviation of the population is known and population is normally distributed standard deviation of the population known and sample size greater than 30 2) Use t distribution if standard deviation of the pop population is normally distributed sample size is greater than 30 3) Use a nonparametric method or bootstrapping if population is not normally sample size is less than or equal 30 Solve the following to answer questions 4-9 The U.S. Mint has a specification that pennies have a mean weight of 2.5 g. A sample of 37 pennies has a mean weight of 2.49910 g and a standard deviation of 0.0 deviation of 0.01648 g. Use a 0.05 significance level to test the claim that this sample is from a population with a mean weight equal to 2.5 g. Do the pennies appear to conform to the specifications of the U.S. Mint? D Question 1 1 pts Determine whether the following hypothesis test involves a sampling eans that is a normal distribution, Student t distribution, or neither (please make sure that you rea e make sure that you read the instructions for that quiz. you might find it helpful to answer this question). Claim about IQ scores of statistics instructors: # > 100. Sample data: n - 15, Z- 118, s = 11. The sample data appear to come from a normally distributed population with unknown geand or. [ Select ] D Question 2 1 pts determine whether the following hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither (please make sure that you read the instructions for that quiz, you might find it helpful to answer this question Claim about daily rainfall amounts in Boston: / 2.5 ) Ho #= 2.5 Hy A