Problem 1 H0:33.8H0:33.8 H1:<33.8H1:<33.8 Your sample consists of 50 values, with a sample mean of 32.9. Suppose the population standard deviation is known to be 3.11. a) Calculate the value of the test statistic, rounded to 2 decimal places. z=z= b) At =0.02=0.02, the rejection region is

• z<-2.05z<-2.05
• z<-2.33z<-2.33
• z<-2.33orz>2.33z<-2.33orz>2.33
• z>2.05z>2.05
• z<-2.05orz>2.05z<-2.05orz>2.05
• z>2.33z>2.33

c) The decision is to

• Accept the null hypothesis
• Fail to reject the null hypothesis
• Accept the alternative hypotheis
• Reject the null hypothesis

d) Suppose you mistakenly failed to reject the null hypothesis in this problem, what type of error is that?

• Type II
• Type I

Problem 2. The average McDonald's restaurant generates $2.8 million in sales each year with a standard deviation of 0.9. Jenna wants to know if the average sales generated by McDonald's restaurants in Missouri is different than the worldwide average. She surveys 17 restaurants in Missouri and finds the following data (in millions of dollars): 3.5, 2.7, 3.7, 3.2, 2.5, 2.5, 3.1, 2.3, 4.4, 3.4, 1.7, 2, 3.1, 2, 4.2, 2.5, 2.1 Perform a hypothesis test using a 2% level of significance. Step 1: State the null and alternative hypotheses. H0:H0: ? p ? < > = Ha:Ha: ? p ? < > = (So we will be performing a Select an answer left-tailed right-tailed two-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are Select an answer normally distributed t-distributed with distribution mean and distribution standard deviation . Step 3: Find the pp-value of the point estimate. P(P(? p' x ? )=P()=P(? z t ? )=)= pp-value== Step 4: Make a Conclusion About the null hypothesis. Since the pp-value== ? < ==, we Select an answer reject do not reject the null hypothesis.

• We cannot conclude that the mean sales of McDonald's restaurants in Missouri differ from average McDonald's sales worldwide.
• We conclude that the mean sales of McDonald's restaurants in Missouri differ from average McDonald's sales worldwide.