The current government economic survey wishes to know, with 96% confidence, the average household income in Peoria to within $500 of the mean. How many randomly selected households must be used if the standard deviation of household income in Peoria is $15,500?

The average McDonald's restaurant generates $3.1 million in sales each year with a standard deviation of 0.4. Micah wants to know if the average sales generated by McDonald's restaurants in Maryland is different than the worldwide average. He surveys 19 restaurants in Maryland and finds the following data (in millions of dollars):2.8, 3.2, 3.8, 4.2, 3.5, 3.2, 3.6, 3.2, 2.7, 3.1, 2.5, 3.2, 3.7, 3.5, 3.9, 3.9, 2.5, 2.9, 2.8Perform a hypothesis test using a 9% level of significance.Step 1: State the null and alternative hypotheses.H0:H0:             Ha:Ha:             (So we will be performing a      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     with distribution mean  and distribution standard deviation .Step 3: Find the pp-value of the point estimate.P(P(        )=P()=P(        )=)=pp-value==Step 4: Make a Conclusion…

For a sample of 120 businesses, the average profit they generate in a month is $54,000 with a standard deviation of $8,800. Find the sample standard deviation for the distribution.

According to the U.S. Census, the average adult woman is the United States is 65 inches tall and the standard deviation is 3 inches.  If Zsike is 67 inches tall, what is her z-score?