Please just solve B-1 In order to conduct a hypothesis test for the population mean, a random sample of 14 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 14.6 and 2.0, respectively. (You may find it useful to reference the appropriate table: z table or t table). H0: μ ≤ 13.8 against HA: μ > 13.8a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) a-2. Find the p-value. multiple choice 1p-value 0.10 p-value < 0.010.05 p-value < 0.10 Correct0.025 p-value < 0.05 0.01 p-value < 0.025 a-3. At the 10% significance level, what is the conclusion? multiple choice 2Reject H0 since the p-value is less than significance level. CorrectReject H0 since the p-value is greater than significance level.Do not reject H0 since the p-value is less than significance level.Do not reject H0 since the p-value is greater than significance level.a-4. Interpret the results at αα = 0.1.multiple choice 3We conclude that the population mean is greater than 13.8. CorrectWe cannot conclude that the population mean is greater than 13.8.We conclude that the population mean differs from 13.8.We cannot conclude that the population mean differs from 13.8.. H0: μ = 13.8 against HA: μ ≠ 13.8 b-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) b-2. Find the p-value. multiple choice 40.025 p-value < 0.05 0.05 p-value < 0.10 0.01 p-value < 0.025 p-value < 0.01p-value 0.10 Correct b-3. At the 10% significance level, what is the conclusion? multiple choice 5Reject H0 since the p-value is less than significance level.Reject H0 since the p-value is greater than significance level.Do not reject H0 since the p-value is less than significance level.Do not reject H0 since the p-value is greater than significance level. Correctb-4. Interpret the results at αα = 0.1.multiple choice 6We conclude that the population mean is greater than 13.8.We cannot conclude that the population mean is greater than 13.8.We conclude that the population mean differs from 13.8.We cannot conclude that the population mean differs from 13.8. Correct

The sample mean is 14.6 and the standard deviation is 2.0.

Answered: -1. Calculate the value of the test…

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 just solve B-1

In order to conduct a hypothesis test for the population mean, a random sample of 14 observations is drawn from a normally distributed population. The resulting sample mean and sample standard deviation are calculated as 14.6 and 2.0, respectively. (You may find it useful to reference the appropriate table: z table or t table).

H₀: μ ≤ 13.8 against H_A: μ > 13.8

a-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

a-2. Find the p-value.

multiple choice 1

p-value

0.10
p-value < 0.01
0.05

p-value < 0.10

Correct
0.025

p-value < 0.05
0.01

p-value < 0.025

a-3. At the 10% significance level, what is the conclusion?

multiple choice 2

Reject H₀ since the p-value is less than significance level. Correct
Reject H₀ since the p-value is greater than significance level.
Do not reject H₀ since the p-value is less than significance level.
Do not reject H₀ since the p-value is greater than significance level.

a-4. Interpret the results at αα = 0.1.

multiple choice 3

We conclude that the population mean is greater than 13.8. Correct
We cannot conclude that the population mean is greater than 13.8.
We conclude that the population mean differs from 13.8.
We cannot conclude that the population mean differs from 13.8..

H₀: μ = 13.8 against H_A: μ ≠ 13.8

b-1. Calculate the value of the test statistic. (Round all intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)

b-2. Find the p-value.

multiple choice 4

0.025

p-value < 0.05
0.05

p-value < 0.10
0.01

p-value < 0.025
p-value < 0.01
p-value

0.10

Correct

b-3. At the 10% significance level, what is the conclusion?

multiple choice 5

Reject H₀ since the p-value is less than significance level.
Reject H₀ since the p-value is greater than significance level.
Do not reject H₀ since the p-value is less than significance level.
Do not reject H₀ since the p-value is greater than significance level. Correct

b-4. Interpret the results at αα = 0.1.

multiple choice 6

We conclude that the population mean is greater than 13.8.
We cannot conclude that the population mean is greater than 13.8.
We conclude that the population mean differs from 13.8.
We cannot conclude that the population mean differs from 13.8. Correct

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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