“STA3000Y - Advanced Theory of Statistics" is a graduate course taught at UTSG, which can only be taken by PhD students in the Department of Statistical Sciences. Assume the class consists of N = 8 students. The final marks in the course are: 95, 66, 71, 93, 75, 88, 68, 100 Find o², the population variance. Show all the steps. Do not use any statistical package/excel here. For example, do not copy the final answer from R or from excel. Circle the final answer. Based on a simple random sample (without replacement) of size 4 selected from this class, find the exact variance of the sample total. Show all the steps. Circle the final answer. Based on a simple random sample (with replacement) of size 4 selected from this class, find the exact variance of the sample total. Show all the steps. Circle the final answer. According to the graduate school, a student fails a course if a student scores less than 72. Based on a simple random sample (without replacement) of size 4 selected from this class, find the exact variance of the sample proportion of students who failed this course. Show all the steps. Circle the final answer. Hint: V(p) = bd AN-1

Q: What is the coefficient of determination for the data above?

A: Step-by-step procedure to find the regression line using Excel: In Excel sheet, enter x and y in…

Q: XYZ Corporation recorded the number of employee absences each week over a period of 10 weeks. The…

A: Given XYZ Corporation recorded the number of employee absences each week over a period of 10 weeks.…

Q: What is the variance of a set of 6 numbers: 1, 2, 3, 4, 5, 6?

A: The variance is calculated as the average of the squared differences of each number from the mean.

Q: Imagine a researcher wants to determine whether parents differ from each other in their fondness for…

A: Explanation:   It is given that research asks each parent of 50 couples, It means, there are 50…

Q: Here are 6 celebrities with some of the highest net worths​ (in millions of​ dollars) in a recent​…

A: The number of observations is n = 6.

Q: Twelve percent of U.S. employees who are late for work blame oversleeping. You randomly select four…

A:

Q: Tim is a researcher who is dealing with a SAMPLE of scores.  The SAMPLE of scores is: 14, 16, 18,…

A: Given observation SAMPLE of scores is: 14, 16, 18, 13, 13, 19, 21, 11 n = 8

Q: Find the mean and variance of Set S (-8, 4, 0, 10, 16, 20)

A:

Q: Medical researchers want to know if Tylenol, Advil, Ibuprofen, and Aleve different medications lead…

A: Researchers use one-way ANOVA to address research hypotheses related to difference.

Q: There are eight patients waiting in a doctor's waiting room. They have been waiting for 9 minutes,…

A: Given: Given data in minutes is: 2, 4, 5, 7, 8, 9, 11, 12

Q: You are doing a one way analysis of variance on the fuel consumption of different makes of cars. You…

A: Solution: From the given information, total number of cars is 43 and the number of treatments is 6.…

Q: How to find the variance, explain the formula

A: Mean:Mean is a measure of center in case of quantitative data. Mean of a data set is the sum of the…

Q: 2b What happens to the variance of a set of scores if (a) A constant a is added to each score in the…

A: (a) Variance measures how far the data values are from the mean. One of the property of the variance…

Q: Tim is a researcher who is dealing with a SAMPLE of scores.  The SAMPLE of scores is: 15, 17, 19,…

A: Given data is 15, 17, 19, 22, 10, 23, 16, 15S.S=122.88

Q: what are the four imporatant sources of data?

A: In statistics, data is the raw information from which statistics are created. This data can be…

Q: what is the  z score of 128,101,116,119,131 when the mean is 119 and variance is 36

A: It is given that  Mean, μ = 119 Variance, σ2 = 36 Standard deviation, σ = 6 Z-Score, Z = ( X - μ )/σ

Q: State one possible advantage of using paired samples instead of independent samples.

A: Provide the possible advantage of using paired samples instead of using independent…

Q: 4. During the course of a semester, 10 students in Mr. Smith's class took three exams. Use Microsoft…

A: Given, Test1 Test2 Test3 90 94 95 65 75 90 51 77 91 88 84 93 72 88 92 75 84 90 60…

Q: National park services, a bureau of the US government responsible for park management, is interested…

A: For current year: The mean can be obtained as: Thus, the mean is 74.56. Arranging the data set into…

Q: How to find the variance of a set of numbers

A: Variance:- The amount of data values spread from the mean is known as variance.

Q: 1. The degrees of freedom are: Select ] 2. The mean square for groups (MSG) is: [Select] 3. The mean…

A: It is given that Sample size n = 45 Number of groups, k = 3 SSG = 192247.3, SSE = 117737.3

Q: Explain the variance of the sum or difference of the two variables X and Y ?

A: Variance of sum of two variables: The variance of the sum of two or more random variable is equal to…

Q: The question is, for the following scores find the mean, median, sum of squared deviations,…

A: The mean of the data is calculated as follows:

Q: It is not important to collect samples randomly. True or false

A: Any sample must be collected using the random techniques. If the samples are not collected randomly…