onsider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table) H0: μD ≥ 0; HA: μD < 0 d¯d¯ = −2.8, sD = 5.7, n = 12 The following results are obtained using matched samples from two normally distributed populations: a-1. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round 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 < 0.01 Incorrect 0.01 ≤ p-value < 0.025 0.025 ≤ p-value < 0.05 0.05 ≤ p-value < 0.10 p-value ≥ 0.10 b. At the 5% significance level, what is the conclusion to the hypothesis test? multiple choice 2 Reject H0 since the value of the p-value is less than the significance level. Incorrect Reject H0 since the value of the p-value is not less than the significance level. Do not reject H0 since the value of the p-value is less than the significance level. Do not reject H0 since the value of the p-value is not less than the significance level. c. Interpret the results at αα = 0.05. multiple choice 3 We can conclude that the mean difference differs from zero. We cannot conclude that the mean difference differs from zero. Incorrect We conclude that that the mean difference is less than zero. We cannot conclude that the mean difference is less than zero.

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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Consider the following competing hypotheses: (You may find it useful to reference the appropriate table: z table or t table)

H₀: μ_D ≥ 0; H_A: μ_D < 0

d¯d¯

= −2.8, s_D = 5.7, n = 12

The following results are obtained using matched samples from two normally distributed populations:

a-1. Calculate the value of the test statistic, assuming that the sample difference is normally distributed. (Negative value should be indicated by a minus sign. Round 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 < 0.01 Incorrect
0.01 ≤ p-value < 0.025
0.025 ≤ p-value < 0.05
0.05 ≤ p-value < 0.10
p-value ≥ 0.10

b. At the 5% significance level, what is the conclusion to the hypothesis test?

multiple choice 2

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

c. Interpret the results at

αα

= 0.05.

multiple choice 3

We can conclude that the mean difference differs from zero.
We cannot conclude that the mean difference differs from zero. Incorrect
We conclude that that the mean difference is less than zero.
We cannot conclude that the mean difference is less than zero.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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