Answered: A researcher measures human calcitonin…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A researcher measures human calcitonin (HCT) levels in men with rheumatoid arthritis. The researcher randomly selects 26 men with rheumatoid arthritis and measures the sample
mean HCT level of 33.8 pg/mL and a sample standard deviation of 10.4 pg/mL. Assume that
HCT for individuals with rheumatoid arthritis follows a normal distribution. Construct a 92%
confidence interval for the mean HCT level in men with rheumatoid arthritis. Be sure to:
State the value for α.
State whether you should use z or t and find the appropriate value.
State the parameter your confidence interval is for.
Find the confidence interval (to 2 decimals).
Write a verbal interpretation of your confidence interval. (For example: We are xx%
confident...)

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.

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