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Name: A sample of 7 measurments, randomly selected from a normally distribut
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Description: A sample of 7 measurments, randomly selected from a normally distributed population, resulted in a sample mean, x¯=6.3 and sample standard deviation=1.07. Using α=0.01, test the null hypothesis that the mean of the population is 6.7 against the alter

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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A sample of 7 measurments, randomly selected from a normally distributed population, resulted in a sample mean, x¯=6.3 and sample standard deviation=1.07. Using α=0.01, test the null hypothesis that the mean of the population is 6.7 against the alternative hypothesis that the mean of the population, μ<6.7 by giving the following:
(a)    the degree of freedom
(b)    the critical ?t value
(c)    the test statistic

The final conclustion is

A. We can reject the null hypothesis that μ=6.7 and accept that μ<6.7.
B. There is not sufficient evidence to reject the null hypothesis that μ=6.7.

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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