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Is there a difference in the proportion of wildfires caused by humans in the south and in the west? 495 of the 650 randomly selected wildfires looked at in the south were caused by humans while 331 of the 414 randomly selected wildfires looked at the west were caused by humans. What can be concluded at the 0.05 level of significance?   A.  H0: Psouth [eq] Pwest       Ha: Psouth [neq] Pwest B.  Test statistic: [response2] C.  p-Value = [response3] D.  Decision: [response4] E.  Conclusion: There is [response5] evidence to make the conclusion that there is a difference between the proportion of wildfires caused by humans in the south and the proportion of wildfires caused by humans in the west.

Is there a difference in performance when students take exams alone or in a class setting. Eleven students were given two tests of equal difficulty? They took one test in a solitary room and they took the other in a room filled with other students. The results are shown below. Alone 88 74 94 65 75 79 86 81 70 77 90 Group 86 78 97 69 75 77 90 83 78 72 95 Assume the distribution of the differences is normal. What can be concluded at the 0.01 level of significance? (d = alone score  – group score)   A.  H0: d [eq] 0       Ha: d [neq] 0 B.  Test statistic: [response2] C.  p-Value = [response3] D.  Decision: [response4] E.  Conclusion: There is [response5] evidence to make the conclusion that the population mean exam score differs based on whether students take the exam alone or around others.

The mayor is interested in finding a 95% confidence interval for the mean number of pounds of trash per person per week that is generated in city. The study included 120 residents whose mean number of pounds of trash generated per person per week was 31.5 pounds and the standard deviation was 7.8 pounds. Round your answers to TWO decimal places. A.  To compute the confidence interval use a  [response1] distribution. B.  What is the margin of error (maximum error)? [response6]  C.  With 95% confidence the population mean number of pounds per person per week is between [response2] and [response3] pounds. D.  If many groups of 120 randomly selected people in the city are studied, then a different confidence interval would be produced from each group. About [1-alpha] percent of these confidence intervals will contain the true population mean number of pounds of trash generated per person per week and about [alpha] percent will not contain the true population mean number of pounds of trash generated per person per week.

You are interested in constructing a 95% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 400 randomly selected caterpillars observed, 42 lived to become butterflies. Critical values:  [response6] =

Are Republicans less likely than Democrats to display the American flag in front of their residence on the Fourth of July? 187 of the 400 Republicans surveyed display the flag on the fourth and 260 of the 500 Democrats surveyed display the flag on the Fourth of July. What can be concluded at the 0.10 level of significance? Identify the course of action. [response1] Identify the correct parameter. [response2] Identify the number of populations. [response3] Identify the appropriate distribution. [response4]

A researcher is interested in finding a 95% confidence interval for the mean number minutes students are concentrating on their professor during a one hour statistics lecture. The study included 150 students who averaged 42 minutes concentrating on their professor during the hour lecture. The standard deviation was 12 minutes. Round your answers to TWO decimal places. A. To compute the confidence interval, use the [response1] distribution. B.  What is the margin of error (maximum error)? [response6] C. With 95% confidence the population mean minutes of concentration is between [response2] and [response3] minutes. D. If many groups of 150 randomly selected students are studied, then a different confidence interval would be produced from each group. About [1-alpha] percent of these confidence intervals will contain the true population mean number of minutes of concentration and about [alpha] percent will not contain the true population mean number of minutes of concentration.

For the problem given below, show work on the attached or your paper for the following parts.  Clearly label each part and box your answers.   T3-OL CI form.pdf Find the corresponding confidence interval by following the steps below.i. Start by stating the formula.ii. Find the critical value. Use and state the appropriate TI command under DISTR.iii. Find the margin of error.iv. Find the confidence interval. Round your answer to two decimal places.

Do college students enjoy playing and watching sports the same or do they have a preference for one over the other? Eleven randomly selected college students were asked to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Play 6 8 5 9 2 10 4 8 1 6 9 Watch 3 7 5 1 4 6 9 5 2 4 5 Assume the distribution of the differences is normal. What can be concluded at the 0.05 level of significance? (xd = play score – watch score)   A.  H0: d [equal] 0       Ha: d [response1] 0 B.  Test statistic: [response2] C.  p-Value = [response3] D.  Decision: [response4] E.  Conclusion: There is [response5] evidence to make the conclusion that the average college student does have a preference of one over the other.

Are couples that live together before they get married less likely to end up divorced within five years of marriage compared to couples that live apart before they get married? 38 of the 370 couples from the study who lived together before they got married were divorced within five years of marriage. 56 of the 430 couples from the study who lived apart before they got married were divorced within five years of marriage. What can be concluded at the 0.10 level of significance? Identify the course of action. [response1] Identify the correct parameter. [response2] Identify the number of populations. [response3] Identify the appropriate distribution. [response4]

1.  Prepare the bank reconciliation on August 31, 2025.