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- 5. For each of the following, state whether the statement is true or false and justify your answer. a) If a distribution is skewed, it's better to give the median and IQR instead of the mean and standard deviation. b) A man is in the 96th percentile for blood pressure in his age group. This means his blood pressure is better than 96% of those in his age group. c) Two variables X and Y have a correlation of 0. This means the two have no relationship. d) For a continuous random variable X, P(X < x) = P(X < x). e) The main benefit of an observational study is we can determine causation between two variables. f) Let X be the time until a car arrives at a stop sign. Then we can model X as X * Ga(r,2) for some r and 1.Suppose that, at the end of last semester, Marie gave her introductory statistics class a final exam. After grading these exams, she created a histogram illustrating the distribution of exam scores for the 70 students in the class. Each of the bars in this histogram includes only the left endpoint of the interval, except for the bar representing scores between 90 and 100 points, which also includes the right endpoint. What percentage of students scored between 60 and 80 points on the exam? Round your answer to the nearest tenth of a percent. Number of students who scored at least 80 points = students Percentage of students who scored between 60 and 80 points = %The Federal Bureau of Investigation (FBI) compiles data on crimes and crime rates and publishes the information in Crime in the United States. A violent crime is classified by the FBI as murder, forcible rape, robbery, or aggravated assault. The first two columns of Data set 1 give a relative-frequency distribution for (reported) violent crimes in the year 2010. A random sample of 500 violent-crime reports from last year yielded the frequency distribution shown in the first and third columns of Data set 1. At the 5% significance level, do the data provide sufficient evidence to conclude that last year's violent-crime distribution is different from the 2010 distribution? Use this information to answer the question. Click here to view the StatCrunch report. The value of the p-value is . Since the p-value distribution. (Round to four decimal places as needed.) α, we and determine that there sufficient evidence to conclude that last year's violent-crime distribution is different from the…
- A correlation of +.20 means that [blank] of the variance in the outcome variable is accounted for by the predictor variable.In a frequency distribution coefficient of skewness based on quartiles is 0.8 if the sum of the upper and lower quartiles is 100 and the median is 36 find the value of the lower and upper quartiles.A set of n=4 pairs of X and Y value has SSx=6, SSy=18, and SP=9, for these data, what is the pearson correlation?
- An analyst takes a sample of 10 households and records their weekly consumption expenditure (in RM) and weekly household income (in RM). The Pearson coefficient of correlation between weekly consumption expenditure and weekly household income is found to be 0.9563. Therefore, an increase in the weekly household income causes a very high increase in the weekly consumption expenditure. Select one: O True O FalseDo question 1A student writes the following interpretation of the slope: "The slope of 0.0577 represents the change in Infant mortality rate for a one unit increase in the child death rate.". Is this interpretation correct? Justify.
- While performing searches on the Internet to find accommodation, Jasmine realized that the cost of a housing unit seems to be related to the number of inhabitants of the municipality where the unit is located. She noted the following data. She represented the data in a scatter plot, where she drew a line of best fit passing through the mean point of the distribution. If Jasmine considers that a linear correlation exists between these two variables, what should be the mean monthly rent of a 4½-room unit in a municipality with a population of approximately 250 000? Justify your answer algebraically.A researcher speculates that because of differences in diet, Japanese children have a lower mean blood cholesterol level than U.S. children do. Suppose that the mean level for U.S. children is known to be 175. Let ? represent the true mean blood cholesterol level for Japanese children. What hypotheses should the researcher test? H0: ? = 175 versus Ha: ? > 165H0: ? = 175 versus Ha: ? < 185 H0: ? = 175 versus Ha: ? < 175H0: ? = 175 versus Ha: ? > 175H0: ? = 185 versus Ha: ? > 17510) The top point in the scatter plot (6.5, 1459) is for Washington, DC. Find the predicted DC violent crime rate if x=6.5. Then find the residual for DC using the predicted violence crime rate and the actual violent crime rate (the actual crime rate is provided in the first sentence of this question). Prediction = Actual y-value = Residual =
