Answered: data set includes weights (in grams) of…

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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Please help me with this statistic problem and thank you!!

Identify the null and alternative hypotheses:

H0: p, μ, or σ | =, >, ≠, or, < ____________________

H1: p, μ, or σ | =, >, ≠, or, < ____________________

(Type integers or decimals. Do not round.)

Identify the test statistic: __________________ (Round to two decimal places as needed.)

Identify the P-value: ________________________ (Round to three decimal places as needed.)

State the conclusion about the null hypothesis, as well as the final conclusion that address the original claim:

Fail to reject or reject the null hypothesis. There is or is not sufficient evidence at the 0.05 significance level to warrent rejection of or rejection the claim that the sample is from a population with a mean equal to 8.953 g

A data set includes weights (in grams) of 33 Reese's Peanut Butter Cup Miniatures. The accompanying Statdisk display shows results from using all 33 weights to test
the claim that the sample is from a population with mean equal to 8.953 g. Test the given claim by using the display provided from Statdisk. Use a 0.05 significance
level.
iClick the icon to view the Statdisk display.
Identify the null and alternative hypotheses.
Ho:
▼
H₁: ▼ ▼
(Type integers or decimals. Do not round.)
C
Statdisk Display
t Test
Test Statistic, t
Critical t
P-value:
-2.61574
+2.03693
0.01347
Print
Done

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 + ...

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