Hello, would you please help me to answer these? I am having a hard time analyzing the problem, I don't know how to analyze and answer the problem step by step. Thank you so much!

1. 

A dnJg manufacturer claimed that the mean potency of one of its antibiotics was 8D%. A random sample of n=1 capsules were tested and produced a sample mean of T9.T%l with a standard deviation of _8%_ Do the data present sufcient evidence to refute the manufacturer's claim? Let :x = {ll {two tailed}. a. State the null and alternative hypothesis to be tested. b. State your conclusion. A recent study stated that if a person smoked: the average of the number of cigarettes he or she smoked per dayr was 14. To test the elaim, a researcher selected a random sample of 4D smokers and found that the mean number of cigarettes smoked per damnr was 18. The standard deviation was 8. At Ix: {1.135 {two tailed}, is the number of cigarettes a person smokes per day agualjyuegual to 14? Measurements were taken of the Sulphur dioxide content {in Elli} of gases collected from the eruptions of two 1volcanoes. Thirtyr measurements were taken at each 1\"volcano. The data set are as follows: First volcann Second sultan-:- _ Standard deviation Decide, at the CLUE Eevel of significance, whether to accept or reject the null hypothesis that there is no difference in Sulphur dioxide content in the composition of gases in two emptions. Analyses of drinking water samples for l hurries in each [if two different sectipns gt a city gave the fellewing means and standard deviations pf lead levels {in parts per million]: Standard deviation _= Decide, at the HHS level of signicance1 whether to accept er reject the null hypothesis that there is no difference in lead levels pf drinking water samples at twe different sectipns of a city