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Please don't forget to include the interval of validity in the end. And also please write down the solution set too. Thank u!
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- Type II error occurs when an individual fails to reject H0 when H0is false. True or False?Suppose that a study was conducted to determine if there is a significant difference in the average temperature of individuals before and after COVID-19 boosters were given. The temperatures of a sample of individuals were obtained before the boosters were given. The following day, their temperatures were again measured. The table below shows the data in degrees Celsius. (10 points) Temperature before Temperature after one day. Determine If there is a significant difference in the average temperature of Individuals who were given boosters at 5% level of significance. Assume that the differences in the temperatures follow the normal distribution.The genetic of a human is the source of a disese., but only if you have the gene type a. The relative frequency of people with carrying two copies of a is 0.0001(aa), but one copy is 0.0198(Aa). Those not having the a-gene = 0.9801(AA) Even though you are carrying a you may not get the disese. You can get the disese without a. the probability of aa = 0.6, Aa= 0.02 and AA= 0.01 What is the probability that a random person has the disese? Given you have the disese, whats the probabilty for having genes aa, Aa or AA?
- Type II error occurs when an individual fails to reject H0 when H0is falseA study was performed to evaluate the support for increasing the speed limit between the residents. A random sample of 500 residents of Marietta - Georgia found that 385 were in favor of increasing the highway speed limit to 75 mph, while another sample of 400 residents of Kennesaw - Georgia found that 267 were in favor of the increased speed limit. Do these data indicate that there is a difference in the support for in increasing the speed limit between the residents of the two cities? Use a = 0.05. (a) Test the hypothesis Ho: P1 = p2 versus H1: P1 # P2. What is zo? (b) Is it reasonable to conclude that there is a difference in the support for increasing the speed limit between the residents of the two cities?Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Times Late/ Final Exam Absent Grade 9 84.00 92.50 12 52.00 5 87.00 11 75.00 24 45.00 39.00 10 46.00 19 63.00 2 65.00 2 98.00 17 24.50 8 58.00 20 69.50 55 49.00 23 68.50 70.00 4 75.50 2 85.00 97.00 2 97.00 2 93.50 93.50 2 78.00 2 86.00 2 88.00 Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable? Question 2: Using Microsoft Excel: (Excel file Assignment10.xlsx) SHOW YOUR WORK а. Count the number of XY variables. b. Calculate the mean and sample standard deviation of both the independent and…
- Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign. Times Late/ Final Exam Absent Grade 9 84.00 2 92.50 12 52.00 5 87.00 11 75.00 24 45.00 7 39.00 10 46.00 19 63.00 2 65.00 2 98.00 17 24.50 8 58.00 20 69.50 55 49.00 23 68.50 70.00 4 75.50 85.00 7 97.00 2 97.00 93.50 93.50 2 78.00 2 86.00 2 88.00 Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable?A study of swab test for COVID-19 in the United Kingdom found that they had a false negative rate between 2 and 33%. This is in part because the test is more sensitive a certain time after infection. The false positive rate was between 0.8 and 4%. For the purposes of this problem, let's assume that the false negative rate is 15% and the false positive rate is 2%. The current positivity rate in NYC is 6%which gives us an estimate of the prevalence (fraction of NYC residents with COVID). a) Imagine that a NYC resident takes the swab test used in the UK and the test comes back positive. What is the probability that they have COVID-19? b) Imagine that a NYC resident takes the swab test used in the UK and the test comes back positive. What is the probability that they do not have COVID-19? c) Imagine that a NYC resident takes the swab test used in the UK and the test comes back negative. What is the probability that they do not have COVID-19? d) Imagine that a NYC resident takes the swab…A survey was conducted among 68 patients admitted to a hospital cardiac unit during a two-week period. The data of the survey are shown below. Let B= the set of patients with high blood pressure. Let C= the set of patients with high cholesterol levels. Let S = the set of patients who smoke cigarettes. Answer parts (a)-(d) below. n(BNS) = 11 n(B n C) = 11 n(B ncns) = 6 n[(B nC) U (BNS) u (CNS)] = 20 n(B) = 30 n(C) = 28 n(S) = 31 ... (a) Find the number of these patients that had either high blood pressure or high cholesterol levels, but not both. The number of patients that had high blood pressure or high cholesterol levels, but not both, is 41 A
- An investigator wants to examine the efficacy of an exercise program on aerobic fitness. Eight subjects were recruited and given a maximal oxygen consumption test to determine V02 max. After a 10-week training program, the subjects were again tested for V02 max. Which t-test should be used to determine if there are differences in VO2 max after the training program?BDO always has two tellers on duty. Customers arrive to receive service from a teller at a mean rate of 40 per hour. A teller requires an average of 2 minutes to serve a customer. When both tellers are busy, an arriving customer joins a single line to wait for service. Describe the queuing system using the notation Determine the basic measures of performance—Wq, W, Lq, and L—for this queueing system.The basic reproductive number Ro for a disease serves as a measure of the intensity of the outbreak. This number quantifies the average number of people who will catch a disease from one contagious person if everyone in the population was susceptible, and an epidemic will occur if Ro > 1. Consider the spread of the same disease in two different populations, each with N members. Select all the factors applied to Population 2 that could explain the basic reproductive number in Population 1 being less than the basic reproductive number in in Population 2. Rejection of practices such as wearing a face-mask and social distancing. Education and resources to implement practices such as hand washing. Poor nutrition. Poverty-related crowding. The population has access to quality healthcare.