A simple random sample of size N equals 15 is drawn from a population that is normally distributed. The sample mean is found to be X equals 19.8 and the sample standard deviation is found to be S equals 6.3. Determine if the population mean is different from 26 at the X equals .01 level of significance (a) Determine the null and alternative hypotheses.НоH₁:(b) Calculate the P-value.P-value =(Round to three decimal places as needed.)2626 (c) State the conclusion for the test.O A. Reject Ho because the P-value is less than the α = 0.01 level of significance.O B. Do not reject Ho because the P-value is less than the α = 0.01 level of significance.O C. Do not reject Ho because the P-value is greater than the x = 0.01 level of significance.OD. Reject Ho because the P-value is greater than the a= 0.01 level of significance.(d) State the conclusion in context of the problem.Theredifferent from 26.sufficient evidence at the α = 0.01 level of significance to conclude that the population mean is

From the provided information, Sample size (n) = 15 Sample mean (x̄) = 19.8 Sample standard…

Answered: A simple random sample of size N equals…

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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A simple random sample of size N equals 15 is drawn from a population that is normally distributed. The sample mean is found to be X equals 19.8 and the sample standard deviation is found to be S equals 6.3. Determine if the population mean is different from 26 at the X equals .01 level of significance

(a) Determine the null and alternative hypotheses.
Но
H₁:
(b) Calculate the P-value.
P-value =
(Round to three decimal places as needed.)
26
26

(c) State the conclusion for the test.
O A. Reject Ho because the P-value is less than the α = 0.01 level of significance.
O B. Do not reject Ho because the P-value is less than the α = 0.01 level of significance.
O C. Do not reject Ho because the P-value is greater than the x = 0.01 level of significance.
OD. Reject Ho because the P-value is greater than the a= 0.01 level of significance.
(d) State the conclusion in context of the problem.
There
different from 26.
sufficient evidence at the α = 0.01 level of significance to conclude that the population mean is

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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