Make conclusions about the population mean based on the test-statisticvalue and rejection region when the population variance is assumed to beunknown. The Head of the Math Department andounced that the mean score ofGrade 9 students in the first periodic examination in Mathematics was89 and the standard deviation was 12. One student, who believed thatthe mean score was less than this, randomly selected 25 students andcomputed their mean Score. She obtained a mean score of 85. At a0.01 level of significance, test the student's beliefs.

Given: Level of significance = 0.01 Math score = X Standard deviation of X = 12 Sample size n = 25…

Answered: The Head of the Math Department…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Make conclusions about the population mean based on the test-statistic
value and rejection region when the population variance is assumed to be
unknown.

The Head of the Math Department andounced that the mean score of
Grade 9 students in the first periodic examination in Mathematics was
89 and the standard deviation was 12. One student, who believed that
the mean score was less than this, randomly selected 25 students and
computed their mean Score. She obtained a mean score of 85. At a
0.01 level of significance, test the student's beliefs.

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

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Equality of Variances$

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.

Similar questions