Find the probability that the student got a 'A' GIVEN they are male.
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A test was given to a group of students. The grades and gender are summarized below | ||||||
A | B | C | Total | |||
Male | 10 | 6 | 18 | 34 | ||
Female | 3 | 20 | 8 | 31 | ||
Total | 13 | 26 | 26 | 65 | ||
If one student is chosen at random from those who took the test, | ||||||
Find the probability that the student got a 'A' GIVEN they are male. | ||||||
Round to 4 decimal places, as needed. | ||||||
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- Suppose that the national average for the math portion of the College Boards SAT is 515. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. a. What percentage of students have an SAT math score greater than 615? b. What percentage of students have an SAT math score greater than 715? c. What percentage of students have an SAT math score between 415 and 515? d. What is the z-score for student with an SAT math score of 620? e. What is the z-score for a student with an SAT math score of 405?On a recent quiz, the class mean was 69 with a standard deviation of 4.5. Calculate the z-score (to 4 decimal places) for a person who received score of 67.A history class is comprised of 8 female and 7 male students. If the instructor of the class randomly chooses 5 students from the class for an oral exam, what is the probability that 3 female students and 2 male students will be selected? Round your answer to 3 decimal places. (If necessary, consult a list of formulas.) ?
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- A professor wants to investigate the relationship between the grades students obtain in their midterm exam (X) and the grades they obtain (Y) in the final exam. The professor collects data from 60 randomly chosen students. The estimated OLS regression is Ý = 45 +0.85X, where Y, denotes the predicted value of the grades obtained in the final exam by the " individual and X, denotes the grades obtained in the midterm exam. From the sample data he makes the following calculations: 60 3230 48, j= 1 60 3D1 ^2 where u, is the square of the residual for the " observation. He wants to test whether the grades obtained in the midterm exam have any effect on the grades obtained in the final exam or not. Which of the following are the null and the alternative hypotheses of the test the professor wishes to conduct? OA. Ho B1=0 vs. H B1 #0. Ho: B1=0 vs. H B, #0. O B. Ho B=D0.85 vs. H, B,#0.85. C. Ho BA #0 vs. HA B.=0. Click to select your answer(s). DAL Type here to search II1 The mean of marks in Statistics of 100 students in a class was 72. The mean of marks of 70 boys was 75. Find out the mean marks of girls in the class.The mean height of women in a country (ages 20−29) is 63.9 inches. A random sample of 60 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume σ=2.84. The probability that the mean height for the sample is greater than 65 inches is nothing.