Answered: We wish to check that normal body…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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QUESTION 9

We wish to check that normal body temperature may be more than 98.6 degrees for a certain population. In a random sample of 18 individuals from this population, the sample mean was found to be 98.87 and the sample standard deviation was 0.482. Assume the population is normally distributed. Use a = 0.05.

What is the distribution of the statistic, which should be to test the hypotheses in a previous question (#8) ?

		t-distribution with 18 degrees of freedom
		standard normal distritbution with 17 degrees of freedom
		t-distribution with 17 degrees of freedom
		standard normal distritbution

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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