Assessment Preparation Checklist:
To prepare for this assessment:
Study the topics "The Mean and Standard Deviation of Sample Mean" and "Estimating a Population Mean" in the Module 3 lesson. These topics will help you learn how to calculate the mean and standard deviations of the sample mean and estimate a population mean.
Title: Sample Mean Distribution and T-Interval
Task 1: Read the following case study, titled "Green M&M's":
Green M&M's: Consider a class of 20 statistics students, where each student is given 5 small bags of M&M's and asked to count the number of green M&M's. The results are shown below. The population mean is for a bag of this size is 10.06 and the population standard deviation is 2.59.
Based on the above information, solve the following problems:
a. Apply the t-interval procedure to these data to ?nd a 90% con?dence interval for the mean price of all one-half-carat diamonds. Interpret your result. (Note: ) Obtain a normal probability plot, a boxplot, a histogram, and a stem-and-leaf diagram of the data.
b. Based on your graphs from part (b), is it reasonable to apply the t-interval procedure as you did in part a? Explain your answer.