**Paired Sample t-Test**Assume that you want to test the claim that the paired sample data (matched pairs) come from a population for which the mean difference is \( \mu_d = 0 \). Compute the value of the t test statistic. Round the test statistic to four decimal places.Data:- **x values:** 28, 31, 20, 25, 28, 27, 33, 35- **y values:** 26, 27, 26, 25, 29, 32, 33, 34The objective is to determine whether there is a statistically significant difference between the paired samples x and y. Use these pairs to compute the t test statistic.

SolutionTest statistic = -0.5233

Answered: Assume that you want to test the claim…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. Mother 64.0 66.0 63.0 62.0 66.5 66.0 65.0 60.0 67.0 63.0 Daughter 67.0 66.5 70.5 66.0 61.0 66.0 65.5 65.0 67.0 65.0 In this example, Hd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? Ho: Ha = 0 in. H₁ Hd 0 in. (Type integers or decimals. Do not round.) Identify the test statistic. t= (Round to two decimal places as needed.)
The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 10; 5; 13; 3; 11; 8; 6; 9. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level.Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) t = Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence…
Which of the following is NOT a requirement of testing a claim about the mean of the differences from dependent samples? Choose the correct answer below. O A. The degrees of freedom aren- 2. O B. The samples are simple random samples. O C. The sample data are dependent. O D. Either the number of pairs of sample data is larger than 30 or the pairs have differences that are from a population having a distribution that is approximately normal, or both.
Listed in the accompanying table are heights (in.) of mothers and their first daughters. The data pairs are from a journal kept by Francis Galton. Use the listed paired sample data, and assume that the samples are simple random samples and that the differences have a distribution that is approximately normal. Use a 0.05 significance level to test the claim that there is no difference in heights between mothers and their first daughters. ... Question content area top right Part 1 Mother 62.0 65.0 64.7 65.5 65.0 67.0 66.0 66.5 63.0 58.5 Daughter 68.0 69.0 66.5 63.0 68.0 62.0 66.5 66.7 63.5 66.5 Question content area bottom Part 1 In this example, μd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the daughter's height minus the mother's height. What are the null and alternative hypotheses for the hypothesis test? H0:…
a. The following data shows the results for 20 students in one of the post graduate unit. 42 66 67 71 78 62 61 76 71 67 61 64 61 54 83 63 68 69 81 53 Based on given information compute, (1)Mean, median and mode. (2)Compute 1st and 3rd quartiles. (3)Compute and interpret 90th percentile. b. Explain what is inferential statistics with relevant examples.
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is Hd = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed. 28 31 20 25 28 27 33 35 y 26 27 26 25 29 32 33 34 X OA. t= -1.185 OB. t= -0.523 OC. t= -1.480 OD. t= -0.690 2 PE 7 2 W Z S x H mmand I E D с 4 1 R F D % L T G 6 B Y 3 I H N U J . 8 I M ( 9 K I O H 2 O L P command Time Remaining: 01:12:18 ; x ( option ? "1 I . Next return
The following data show the number of hours spent watching television for 10 randomly selected freshmen attending a liberal arts college in the Midwest. Hours of Television Viewed Weekly 19 17 19 13 11 16 19 14 16 19 Calculate the range, variance, standard deviation, and interquartile range for the sample data. The interquartile range for the data set is (Type an integer or a decimal. Do not round.)
ANSWER LETTER D,E,F only
Refer to the data set in the accompanying table. Assume that the paired sample data is a simple random sample and the differences have a distribution that is approximately normal. Use a significance level of 0.10 to test for a difference between the weights of discarded paper (in pounds) and weights of discarded plastic (in pounds). a. Identify the test statistic. t equals (Round to two decimal places as needed.) b. Identify the P-value. P-value equals (Round to three decimal places as needed.)
Answer.
A polling company contends that an agent conducts a mean of 53 in-depth home surveys every week. A streamlined survey form has been introduced, and the company wants to evaluate its effectiveness. The number of in-depth surveys conducted during a week by a random sample of agents are: 50 55 58 54 60 52 59 62 60 60 51 53 57 59 56 If we want to test at the .05 level of significance, whether the mean number of interviews conducted by the agents is more than 53 per week, which of the following findings would be correct? Select one: a. The test statistic, critical value are 1.034 and 1.761 respectively and the decision is not to reject the Ho. b.The test statistic, critical value are 3.667 and 1.761 respectively and the decision is to reject the Ho. c. The test statistic, critical value are 3.7378 and 1.761 respectively and the decision is to reject the Ho. d. The test statistic, critical value are 1.034 and 1.761 respectively and the decision is not to reject the Ho. e. The test statistic,…

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Assume that you want to test the claim that the paired sample data (matched pairs) come from a population for which the mean difference is ud = 0. Compute the value of the t test statistic. Round the test statistic to four decimal places... x 28 8) 27 33 35 32 33 31 20 25 28 27 8) 26 26 25 29 34