1. conscientious statistician wants to test this claim. She surveys 38 of her neighbors and finds that their taxes decreased (in dollars) as follows: 244, 239, 210, 241, 250, 183, 235, 186, 274, 236, 216, 205, 169, 222, 240, 221, 292, 257, 268, 248, 231, 300, 260, 290, 246, 227, 360, 249, 285, 241, 227, 226, 265, 314, 211, 222, 287, 304 The statistician assumes a population standard deviation of $42. Do you think the statistician should reject the mayor's claim? Why or why not? Step 1: State the hypothesis. ( p or ) =

Step 2: 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 Or t-distributed ) with distribution mean ________ and distribution standard deviation _______.

Step 3: Assuming the Claim is True, Find the Probability of Obtaining the Point Estimate. P (p or xbar, Greater than or equal to, less than or equal to: ______ ) = P ( z or t, Greater than or equal to, less than or equal to: ______) = __________

2. The average McDonald's restaurant generates $2.7 million in sales each year with a standard deviation of 0.7. Shane wants to know if the average sales generated by McDonald's restaurants in North Dakota is different than the worldwide average. He surveys 15 restaurants in North Dakota and finds the following data (in millions of dollars): 2.3, 3.7, 2.9, 3.4, 4, 2.9, 3.4, 2.8, 3.3, 2.4, 2.4, 3.5, 3.2, 3.3, 4.2 Perform a hypothesis test using a 7% level of significance. Step 1: State the null and alternative hypotheses. H0: (p or ) (< , >, , ,= , ) ______ Ha: ( p or ) ( < ,>, , , =, , ) _______

So we will be performing a (Select an answer left-tailed or right-tailed or 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 or t-distributed ) with distribution mean ______ and distribution standard deviation_______ .

Step 3: Find the pp-value of the point estimate. P ( p' or x , or ) _______) = P( z or t , or ) = __________ p-value = ________

Step 4: Make a Conclusion About the null hypothesis. Since the pp-value= _______ (< or ) _______ =, we (Select an answer reject or do not reject) the null hypothesis. _________

A. We cannot conclude that the mean sales of McDonald's restaurants in North Dakota differ from average McDonald's sales worldwide.

B. We conclude that the mean sales of McDonald's restaurants in North Dakota differ from average McDonald's sales worldwide.

(Please answer fully).