MATH 232/ST 232: Statistics Midterm Exam Questions and 100% Correct Answers 2023/2024 Latest UPDATE 2024

Use the normal distribution of heights of adult women, which has a mean of 165 centimeters and a standard deviation of 8 centimeters, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity. Consider the scatter diagram in figure to the right. a. Which point is an outlier? Ignoring the outlier, estimate or compute the correlation coefficient for the remaining points. b. Now include the outlier. How does the outlier affect the correlation coefficient? Estimate or compute the correlation coefficient for the complete data set. Assume that population means are to be estimated from the samples described. Use the sample results to approximate the margin of error and 95% confidence interval. Sample size=100, sample mean=78, sample standard deviation=10 Assume that you want to construct a 95% confidence interval estimate of a population mean. Find an estimate of the sample size needed to obtain the specified margin of error for the 95% confidence interval. The sample standard deviation is given below. Margin of error=$4, standard deviation=$19 A study was conducted that resulted in the following relative frequency histogram. Determine whether or not the histogram indicates that a normal distribution could be used as a model for the variable. Use the normal distribution of IQ scores, which has a mean of 105 and a standard deviation of 16, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.