MAT 300 Final Exam Answers Sophia Course, Latest 2022complete solution.

MILESTONE 18/25 You passed this Milestone 18 questions were answered correctly . 7 questions were answered incorrectly . 1 Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. He wishes to construct a 98% confidence interval. What value of t* should Adam use to construct the confidence interval? Answer choices are rounded to the thousandths place. 2.517 2.896 4.489 2.998 RATIONALE Recall that we have n = 8, so the df = n-1 = 7. So if we go to the row where df = 7 and then 0.01 for the tail probability, this gives us a value of 2.998. Recall that a 98% confidence interval would have 2% for the tails, so 1% for each tail. We can also use the last row and find the corresponding confidence level. CONCEPT How to Find a Critical T Value 2 Which of the following statements is true? For the Central Limit Theorem to be true, you must have a large sample, the underlying population must be normally distributed, and the standard deviation should not be finite. Even with a very large sample size, the Central Limit Theorem states that the sample means of repeated samples of a population cannot be normally distributed. For a large enough sample size, the Central Limit Theorem states that the sample medians of repeated samples of a population are normally distributed. For a large enough sample size, the Central Limit Theorem states that the sample means of repeated samples of a population are normally distributed. RATIONALE The Central Limit Theorem gives us information about the properties' sampling distributions of statistics to have given that the sample size is large enough. It tells us the sampling distribution's mean should be equal to the true population mean. CONCEPT Shape of a Sampling Distribution 3 Regan wants to study how reading on a computer affects comprehension among elementary school students. Regan thinks that girls and boys might differ and he also suspects that grade level will affect the results. He decides to create a male and a female group for each grade. Within each group, he randomly assigns half of the students to read an article on paper and half of the students to read the article on a computer. Which type of experimental design does this situation illustrate? Double-Blind Randomized Block Matched-Pair Completely Randomized RATIONALE Since students are put into gender and grade blocks and are then assigned treatment or control randomly this is called a randomized block design. CONCEPT Randomized Block Design 4 For the data plotted in the scatterplot, the r 2 value was calculated to be 0.9846. Which of the following sets of statements is true? 98.5% of the variation in age is explained by a nonlinear relationship with yearly income. The correlation coefficient, r, is 0.969. 98.5% of the variation in yearly income is explained by a linear relationship with age. The correlation coefficient, r, is 0.992 98.5% of the variation in yearly income is explained by a nonlinear relationship with age. The correlation coefficient, r, is 0.992. 98.5% of the variation in age is explained by a linear relationship with yearly income. The correlation coefficient, r, is 0.969. RATIONALE The coefficient of determination measures the percent of variation in the outcome, y, explained by the regression. So a value of 0.9846 tells us the regression with age, x, can explain about 98.5% of the variation in