The process that produces Twix bars is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0.77 gm. A random sample of 49 candy bars show a mean weight of 55.82 gm. Answer the following questions. (Show work for partial credit in case your answer is wrong)

a) Write down the null and alternative hypothesis for a left tailed test.

b) Calculate the test statistic for this hypothesis test.

c) At= 0.025, what is your critical value and your conclusion?