SAT Scores in Illinois According to the 2017 SAT Suite of Assessments Annual Report, the average SAT math score for students in Illinois was 556. Assume the scores are Normally distributed with a standard deviation of 100. Answer the following including an appropriately labeled and shaded Normal curve for each question. a. What percentage of Illinois Math SAT takers scored 600 or more? b. What percentage of Illinois Math SAT takers scored between 600 and 650? c. Suppose students who scored in the top 5% of test takers in the state were eligible for a special scholarship program. What SAT math score would qualify students for this scholarship program?
SAT Scores in Illinois According to the 2017 SAT Suite of Assessments Annual Report, the average SAT math score for students in Illinois was 556. Assume the scores are Normally distributed with a standard deviation of 100. Answer the following including an appropriately labeled and shaded Normal curve for each question. a. What percentage of Illinois Math SAT takers scored 600 or more? b. What percentage of Illinois Math SAT takers scored between 600 and 650? c. Suppose students who scored in the top 5% of test takers in the state were eligible for a special scholarship program. What SAT math score would qualify students for this scholarship program?
SAT Scores in Illinois According to the 2017 SAT Suite of Assessments Annual Report, the average SAT math score for students in Illinois was 556. Assume the scores are Normally distributed with a standard deviation of 100. Answer the following including an appropriately labeled and shaded Normal curve for each question.
a. What percentage of Illinois Math SAT takers scored 600 or more?
b. What percentage of Illinois Math SAT takers scored between 600 and 650?
c. Suppose students who scored in the top 5% of test takers in the state were eligible for a special scholarship program. What SAT math score would qualify students for this scholarship program?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
You are planning an experiment to determine the effect of the brand of gasoline and the weight of a car on gas mileage measured in miles per gallon. You will use a single test car, adding weights so that its total weight is 3000, 3500, or 4000 pounds. The car will drive on a test track at each weight using each of Amoco, Marathon, and Speedway gasoline. Which is the best way to organize the study?
Start with 3000 pounds and Amoco and run the car on the test track. Then do 3500 and 4000 pounds. Change to Marathon and go through the three weights in order. Then change to Speedway and do the three weights in order once more.
Start with 3000 pounds and Amoco and run the car on the test track. Then change to Marathon and then to Speedway without changing the weight. Then add weights to get 3500 pounds and go through the three gasolines in the same order.Then change to 4000 pounds and do the three gasolines in order again.
Choose a gasoline at random, and run the car with this gasoline at…
AP1.2 A child is 40 inches tall, which places her at the 90th percentile of all children of similar age. The heights for children of this age form an approximately Normal distribution with a mean of 38 inches. Based on this information, what is the standard deviation of the heights of all children of this age?
0.20 inches (c) 0.65 inches (e) 1.56 inches
0.31 inches (d) 1.21 inches
AP1.1 You look at real estate ads for houses in Sarasota, Florida. Many houses range from $200,000 to $400,000 in price. The few houses on the water, however, have prices up to $15 million. Which of the following statements best describes the distribution of home prices in Sarasota?
The distribution is most likely skewed to the left, and the mean is greater than the median.
The distribution is most likely skewed to the left, and the mean is less than the median.
The distribution is roughly symmetric with a few high outliers, and the mean is approximately equal to the median.
The distribution is most likely skewed to the right, and the mean is greater than the median.
The distribution is most likely skewed to the right, and the mean is less than the median.
Chapter 6 Solutions
Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)
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