Duke energy reported that the cost of electricity for an efficient home in a particular neighborhood of Cincinnati, Ohio, was $104 per month (Home Energy Report, Duke Energy, March 2012). a researcher believes that the cost of electricity for a comparable neighborhood in Chicago, Illinois, is higher. a sample of homes in this Chicago neighborhood will be taken and the sample mean monthly cost of electricity will be used to test the following null and alternative hypotheses. H0: µ ≤ 104 Ha: µ > 104 a. Assume the sample data led to rejection of the null hypothesis. what would be your conclusion about the cost of electricity in the Chicago neighborhood? b. What is the type I error in this situation? what are the consequences of making this error? c. What is the type ii error in this situation? what are the consequences of making this error?

An organization monitors many aspects of elementary and secondary education nationwide. Their 2000 numbers are often used as a baseline to assess changes. In 2000, 23​% of students had not been absent from school even once during the previous month. In the 2004 ​survey, responses from 7792 randomly selected students showed that this figure had slipped to ​22%. Officials would be concerned if student attendance were declining.  Please refer to the following images:

Part 1 of 4 The restaurants of a fast food chain are primarily located in three regions of Arizona. The CEO of the chain wants to know if the average monthly revenue of the restaurants in each region are equal. The monthly revenues (in thousads of dollars) for this past month of the restaurants in each of the three regions are given below. Conduct an ANOVA test using a 5% level of significance to determine whether or not the average monthly revenues in the three regions are equal. Monthly Revenues of Restaurants in Region 1: 179, 183.3, 156.8, 155.1, 253, 105.4, 219, 134.3, 119.9, 193.1, 188.5, 188.4 Monthly Revenuse of Restaurants in Region 2: 158.7, 175.2, 187.8, 187.1, 118.1, 179.5, 195.1, 199.7, 349.6, 226.5, 253.7, 287.4, 172.8, 290.5, 149 Monthly Revenuse of Restaurants in Region 3: 215.4, 199.8, 360.7, 273, 250, 214.2, 144.5, 165, 137, 187.6 Step 1: State the null and alternative hypotheses. Ho: P1 = P2 = H3 Ha: At least one mean isn't equal to the other means v Part 2 of 4 Step…

The article "Freedom of What?" (Associated Press, February 1, 2005) described a study in which high school students and high school teachers were asked whether they agreed with the following statement: "Students should be allowed to report controversial issues in their student newspapers without the approval of school authorities." Researchers hypothesized that the long-run proportion of high school teachers who would agree with the statement would differ from the long-run proportion of high school students who would agree. Two random samples - 8,000 high school teachers and 10,000 high school students were selected from high schools in the U.S. It was reported that 39% of the teachers surveyed and 58% of the students surveyed agreed with the statement. A simulated null distribution of 1,000 differences in proportions created by using the Two Proportion applet is shown below. Total shuffles - 1000 251 Number of shuffles 20 Mean -0.000 SD-0.007 LUL 0.024 -0.026 -0,016 -0.006 0.004 0.014…