Elements of Statistics II

Module 2:  Content Mastery Testing

After studying and reviewing the concepts and practices of Module 2, answer the following questions:

1. Standing eye heights of men are normally distributed with a mean of 64.3 in. and a standard deviation of 2.6 in. (based on anthropometric survey data from Gordon, Churchill, et al.).

A. Find the probability that the standing eye heights of men is greater than 60 in.

B. Find the probability that the standing eye heights of men is less than 64 in.

2. Scores on the Gilliam Autism Rating Scale (GARS) are normally distributed with a mean of 100 and a standard deviation of 15. A sample of 64 GARS scores is randomly selected and the sample mean is computed. Find the probability that the sample mean GARS score is less than 105.

3. Assume that the population of human body temperatures has a mean of 98.6°F, as is commonly believed. Also assume that the population standard deviation is 0.62°F (based on data from University of Maryland researchers). If a sample of size n = 106 is randomly selected:

1.

A. Find the probability of getting a mean of 98.2°F or lower.

B. Find the probability of getting a mean of 98.2°F or greater.

 

Submission Instructions:

· Submit your assignment by 11:59 PM Eastern on Sunday.

· Review the rubric to determine how your assignment will be graded.

· Your assignment will be run through Turnitin to check for plagiarism.

· Justify any assumption to solve the exercises and detail the steps, formulas, and calculations.

If you are new to Canvas, follow  these directionsLinks to an external site.  for submitting your assignments and review the  academic expectations  for your submission. Follow  these instructionsLinks to an external site.  to review your grades and comments from your professor after it is graded.