The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a standard deviation of 0.06. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.06. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H, and the alternative hypothesis H, that we would use for this test. H: 0 O
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- You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 80 and SSE 20. Complete parts (a) through (e) below. a. What is the value of FSTAT? State the hypotheses to test. Choose the correct answer below. OA H B₁50 H₁ B₁0 OC. Ho B₁ #0 H₁ = B₁ = 0 = 72 (Round to the nearest integer as needed) FSTAT = b. At the a=0.05 level of significance, what is the critical value? The critical value is 4.41 (Round to two decimal places as needed.) c. Based on your answers to (3) and (b), what statistical decision should you make? A. Reject H. There is no evidence that there is a relationship between X and Y. OB. Do not reject H. There is no evidence that there is a relationship between X and Y. OC. Do not reject H,. There is evidence that there is a relationship between X and Y D. Reject H. There is evidence that there is a relationship between X and Y. d. Compute the correlation coefficient by first…You are testing the null hypothesis that there is no relationship between two variables. X and Y. From your sample of n = 20, you determine that SSR-80 and SSE 20. Complete parts (a) through (e) below. a. What is the value of FSTAT? State the hypotheses to test. Choose the correct answer below. OA Ho B₁50 H₁: B₁>0 OC. Ho B₁0 FSTAT H₁: B₁ =0 =72 (Round to the nearest integer as needed.) b. At the a=0.05 level of significance, what is the critical value? The critical value is 4.41 (Round to two decimal places as needed.) c. Based on your answers to (a) and (b), what statistical decision should you make? OA. Reject Ho. There is no evidence that there is a relationship between X and Y. OB. Do not reject Ho. There is no evidence that there is a relationship between X and Y. OC. Do not reject Ho. There is evidence that there is a relationship between X and Y. D. Reject Ho. There is evidence that there is a relationship between X and Y. d. Compute the correlation coefficient by first…Which one of the sentences below is FALSE? A. The risk of incorrect acceptance called beta risk has the consequence that the auditor may assume that the population is free of material misstatement. B. The risk of incorrect rejection is called alpha risk and has the consequence that the auditor may assume on the basis of sample results that a population is materially misstated when, in fact, it is not . C. The risk of incorrect acceptance is called beta risk. D. The risk of incorrect rejection very common in audit sampling is called beta risk.
- You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR 80 and SSE 20. Complete parts (a) through (e) below. a. What is the value of FSTAT? State the hypotheses to test. Choose the correct answer below. OA H₂ B₁50 H₁ B₁>0 OC. H₂ B₁ = 0 H₁ B₁₁ =0 FSTAT 72 (Round to the nearest integer as needed.) b. At the a=0.05 level of significance, what is the critical value? The critical value is 4.41 (Round to two decimal places as needed.) c. Based on your answers to (a) and (b). what statistical decision should you make? OA. Reject Ho- There is no evidence that there is a relationship between X and Y. OB. Do not reject Ho. There is no evidence that there is a relationship between X and Y. OC. Do not reject Ho. There is evidence that there is a relationship between X and Y. D. Reject Ho. There is evidence that there is a relationship between X and Y. d. Compute the correlation coefficient by first…An engineer wishes to design a test to find the mean resistance of a wire. He wants to determine a sample size so that if the mean is different than 0.8 ohms (say, in reality the mean is more than 0.15 ohms different from 0.8 in either direction), the test will detect this with high probability, like 90%. The standard deviation is known to be 0.9 and the significance level of the test 0.08. What is the required sample size? 110.25 XThe software developers of a billing system of ACME Telecom Company would accept at most an error rate of 4% that a sample of invoices would contain some variations that may be present in a large population of total invoices. With a certainty factor of 1.95 how many invoices would they need to examine?
- When using Altman’s Z-Score, a Type II error occurs when: Select one: A. The company’s Z-score indicates the company is healthy, and the company stays healthy B. The company’s Z-score indicates the company will go bankrupt, and the company stays bankrupt C. The company’s Z-score indicates the company is healthy, and the company goes bankrupt D. The company’s Z-score indicates the company will go bankrupt, and the company stays healthyidentify either the similarities or the differences between Enron and the Stanley Milgrim Experiment. So, take the position either of, "this is how the Milgrim experiment explains what happened in Enron" or of, "the Milgrim experiment explains little about what transpired at Enron because it is a totally different situation in this way...". Provide at least three different pieces of evidence to illustrate your point.b) Over the years, researchers have carried out a large number of studies in an attempt to gather evidence in favour and against the prediction and implications of the pecking order theory. Most of the evidence is either based on statistical analysis of large sets of data (for example through regressions) or on surveys targeting top executives. What are the main findings that seem to be consistent with the pecking order theory? What are the main findings that are arguably inconsistent with the theory? Discuss these two questions. [Word limit: 500 words] c) Some economists argue that capital structure decisions are affected by the costs of financial distress that firms face. What are these costs exactly and why are they important to firms? Describe the different types of financial distress costs and explain how they may determine whether a firm raises equity or debt capital. In your answer, you should also refer to academic studies that provide estimates of the magnitude of distress…
- Suppose the following data represent the number of persons unemployed for a given number of months in Killeen, Texas. The values in the first column show the number of months unemployed and the values in the second column show the corresponding number of unemployed persons. Let x be a random variable indicating the number of months a randomly selected person is unemployed. Use the data to develop an empirical discrete probability distribution for x. Show that your probability distribution satisfies the conditions for a valid discrete probability distribution. What is the probability that a person is unemployed for two months or less? Unemployed for more than two months? What is the probability that a person is unemployed for more than six months?The estimates of losses annually resulting from computer fraud vary widely. Why do you think obtaining a good estimate of this figure is difficult?Which of the following would be an appropriate null hypothesis? A. The mean of a population is equal to 55. B. The mean of a sample is equal to 55. OC. The mean of a population is greater than 55. OD. Only (a) and (c) are true. Question 2 of 13 Which of the following would be an appropriate alternative hypothesis? A. The mean of a population is equal to 55. OB. The mean of a sample is equal to 55. OC. The mean of a population is greater than 55. D. The mean of a sample is greater than 55. 0.2