## Paired t-Test Hypothesis TestingThe null hypothesis is defined as $H_0: \mu_1 = \mu_2$ and the alternative hypothesis as $H_a: \mu_1 > \mu_2$. The provided data come from a simple random paired sample from two populations under consideration. The paired t-test is used to perform the required hypothesis test at the 10% significance level.### Hypotheses- **Null Hypothesis ($H_0$):** $\mu_1 = \mu_2$- **Alternative Hypothesis ($H_a$):** $\mu_1 > \mu_2$### DataThe data sets from Population 1 and Population 2 are paired as follows:| Pair | Population 1 | Population 2 ||------|--------------|--------------|| 1 | 24 | 20 || 2 | 9 | 10 || 3 | 20 | 19 || 4 | 13 | 8 || 5 | 8 | 5 || 6 | 14 | 14 || 7 | 10 | 15 || 8 | 22 | 28 |### ProcedureTo conduct the paired t-test, follow these steps:1. Calculate the differences between each pair (Population 1 - Population 2).2. Find the mean ($\bar{d}$) and the standard deviation ($s_d$) of these differences.3. Determine the test statistic $t$ using the formula: \[ t = \frac{\bar{d}}{s_d / \sqrt{n}} \] where $n$ is the number of pairs.4. Compare the calculated $t$ value to the critical value from the t-distribution table at the 10% significance level.### ObjectiveFind the test statistic $t$. Use $ \text{Population 1} - \text{Population 2} $ as the difference.\[ t = \_\_\_ \](Round to three decimal places as needed.) ### t-TableThis t-table displays critical values of t at various significance levels for different degrees of freedom (df). The table is essential for conducting t-tests in statistics to determine the significance of sample data. The significance levels provided are 0.10, 0.05, 0.025, 0.01, and 0.005. Below is a detailed breakdown of the table:\[\begin{array}{|c|c|c|c|c|c|c|}\hline\text{df} & t_{0.10} & t_{0.05} & t_{0.025} & t_{0.01} & t_{0.005} & \text{df} \\\hline1 & 3.078 & 6.314 & 12.706 & 31.821 & 63.657 & 1 \\2 & 1.886 & 2.920 & 4.303 & 6.965 & 9.925 & 2 \\3 & 1.638 & 2.353 & 3.182 & 4.541 & 5.841 & 3 \\4 & 1.533 & 2.132 & 2.776 & 3.747 & 4.604 & 4 \\5 & 1.476 & 2.015 & 2.571 & 3.365 & 4.032 & 5 \\6 & 1.440 & 1.943 & 2.447 & 3.143 & 3.707 & 6 \\7 & 1.415 & 1.895 & 2.365 & 2.998 & 3.499 & 7 \\8 & 1.397 & 1.860 & 2.306 & 2.896 & 3.355 & 8 \\9 & 1.383 & 1.833 & 2.262 & 2.821 & 3.250 & 9 \\10 & 1.

Name: ## Paired t-Test Hypothesis TestingThe null hypothesis is defined as
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ## Paired t-Test Hypothesis TestingThe null hypothesis is defined as $H_0: \mu_1 = \mu_2$ and the alternative hypothesis as $H_a: \mu_1 > \mu_2$. The provided data come from a simple random paired sample from two populations under consideration.

The formula for computing test statistic for the paired t test is, The formula for computing mean…

Math

Statistics

Họ: H = H2 and the alternative hypothesis is as specified. The provided data are from a simple random paired sample from the two nsideration. Use the paired t-test to perform the required hypothesis test at the 10% significance level. Obse Pair Popula 24 2 9 3 20 13 8 view the t-table. 4. 5 6 7 14 10 22 Use population 1- population 2 as the difference. hal places as needed.)

Họ: H = H2 and the alternative hypothesis is as specified. The provided data are from a simple random paired sample from the two nsideration. Use the paired t-test to perform the required hypothesis test at the 10% significance level. Obse Pair Popula 24 2 9 3 20 13 8 view the t-table. 4. 5 6 7 14 10 22 Use population 1- population 2 as the difference. hal places as needed.)

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

Similar questions

2. Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data: Fall 89 86 64 91 92 94 87 83 86 90 74 59 87 97 87 Spring 76 70 82 94 76 66 72 51 75 97 74 81 85 96 74 Can he say that his fall students scored better than his spring students? (Use a = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:
A researcher hypothesized that score differed between the first and the last rounds of major U.S. golf tournaments. Here are the paired data for randomly selected golfers from the 2021 U.S. Open. At the 0.05 level of significance , is there a difference? The score of major golf tournaments Golfer 1 3 4 5 6 Round 1 185 178 175 183 193 173 Round 2 171 180 173 175 188 178 The hypothesis test is as following: Ho: Hd = 0 H1: µd #0 Test statistic t Hint: Find d-bar and Sd, then find the test statistic.
Two different simple random samples are drawn from two different populations. The first sample consists of 40 people with 20 having a common attribute. The second sample consists of 2200 people with 1573 of them having the same common attribute. Compare the results from a hypothesis test of p₁ = P2 (with a 0.05 significance level) and a 95% confidence interval estimate of P1-P2. his OA. Ho: P12P2 H₁: P₁ #P₂ 2 View an example W S D. Ho: P1 P2 H₁: P1 #P2 X Identify the test statistic. - 2.97 (Round to two decimal places as needed.) Identify the critical value(s). H mand 80 P $ DEBEL 4 (34336 (Round to three decimal places as needed. Use a comma to separate answers as needed.) # 3 E D Get more help с NOV 20 R ▲ F V % 5 T G #tv B Ho: P1 P2 H₁: P₁ P2 E. Ho: P1 SP2 H₁: P₁ P2 Y MacBook Air H 2 & 7 N U CALDE J * 00 8 M O FO K ( 9 O V. H DG Ho: P₁ P2 H₁: P1 P2 L OF Ho: P1 H₁: P1 zoom command P P2 P2 Clear all alt F11 { option [ + 11 ? Final check } 1 delete enter return sk
Perform the following hypothesis test of a proportion: HO: p = 0.125 HA: p 0.125 The sample proportion is 0.1 based on a sample size of 95. Use a 10% significance level. The critical values of the test statistic that divide the rejection and non-rejection regions are what value?
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 282 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related? Vaccination Status Diseased Not Diseased Total Vaccinated 54 124 178 Not Vaccinated 71 33 104 Total 125 157 282 Copy Data Step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.025 level of significance.
I have looked everywhere and cant find this answer For C. options are "Reject" and " Do not reject" For D. options are "No difference" and "Difference"
the answer for part b was given to me by a tutor 3.79 and the system shows that is incorrect, please help where the red x is.
In a volunteer group, adults 21 and older volunteer between 1 and 9 hours each week. The program includes people from a community college, a four-year college, and non-students. The leader of the group is interested in seeing if there is a relationship between the type of volunteer and the number of hours volunteered. She collected the following data below. Perform a hypothesis test to help her at 0.01 level of significance. 1-3 hours 4-6 hours 7-9 hours Community College Student 97 100 64 Four-Year College Student 99 128 55 Non-Student 99 138 41 What are the expected numbers? (round to 3 decimal places) 1-3 hours 4-6 hours 7-9 hours Community College Student Four-Year College Student Non-Student The hypotheses are H0:H0: The number of hours volunteered is independent of the type of volunteer. HA:HA: The number of hours volunteered is dependent of the type of volunteer.(claim) Since αα = 0.01 the critical value is 13.277 The test…
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
need help with B, C, D
In case of hypothesis testing in places where population variances are unknown and sample size is large (nl and n22 30), sample variances can be a good approximation of population variances. Which best describe this statement? Select one: O a. None of the choices O b. The statement is true c. The statement is false O d. Not enough data to support the statement O e. The statement is neither true nor false
The number of points held by random samples of the NHL's highest scorers of both the Eastern Conference and the Western Conference is shown. At the 0.05 level of significance, can it be concluded that there is a difference in means based on theses data: Eastern Conference Western Conference 83 60 75 58 77 59 72 58 78 59 70 58 37 57 66 55 62 61 59 61 What is the appropriate null hypothesis for this problem? (u= population mean for this problem) What is the critical Value? What is the test statistics? What is the decision?