Answered: sample of 7 measurments, randomly…

Name: A sample of 7 measurments, randomly selected from a normally distribut
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
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

Section10.1: Measures Of Center

Problem 9PPS

See similar textbooks

Related questions

Topic Video

Question

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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.