Question

Describe the sampling distribution for sample proportions and use it to identify unusual (and more common) sample results. ________________________________________ SAT scores: According to the College Board website, 1,672,395 students from the class of 2014 took the SAT, a globally recognized college admissions test. The mean mathematics score was 513 with a standard deviation of 120. SAT College Board 2014 College Bound Seniors Total Group Profile Report (2014). College Board. http://research.collegeboard.org/programs/sat/data/cb-seniors-2014 True or false? The mean mathematics score of 513 is a statistic, representing the mean score for the sample of 1,672,395 students. True False

Answer 1

Solution:

• Sampling Distribution: If repeated random samples of a given size n are taken from a population of values for a categorical variable, then the distribution of the sample proportions obtained is called sampling distribution of sample proportion.
• The mean mathematics score of 513 is a statistic, representing the mean score for the sample of 1,672,395 students. - True (central tendency measures of a sample are called statistic whereas the same for a population is known as a parameter. Since here we have taken a sample of students from a population thus, 513 represents the statistic)