question 15I am not understanding how to find the t value and p value ### Educational Content: Statistical Analysis of Reaction Times**Table Summary:**The table presents summary statistics for reaction times of right-handed high school student gamers:- **Right-hand reaction time:** - **Sample mean:** $ \bar{x}_R = 325.55801 $ ms - **Sample standard deviation:** $ s_R = 112.36310 $ ms - **Standard error estimate:** $ SE_R = 19.86318 $ ms- **Left-hand reaction time:** - **Sample mean:** $ \bar{x}_L = 346.90739 $ ms - **Sample standard deviation:** $ s_L = 177.79582 $ ms - **Standard error estimate:** $ SE_L = 31.43016 $ ms- **Difference (right hand – left hand):** - **Sample mean:** $ \bar{x} = -21.34938 $ ms - **Sample standard deviation:** $ s = 190.06807 $ ms - **Standard error estimate:** $ SE = 33.59961 $ ms**Analysis Overview:**- **Objective:** Henry conducts a matched-pairs t-test at a significance level of $ \alpha = 0.05 $ to test the null hypothesis $ H_0: \mu \geq 0 $ against the alternative hypothesis $ H_1: \mu < 0 $. Here, $ \mu $ represents the mean difference between right-hand and left-hand reaction times for the selected students. - **Conditions:** Henry's sample is randomly selected, and the calculated differences are normally distributed without outliers. These satisfy the conditions for conducting a matched-pairs t-test.**Task:**Compute the t-statistic and P-value for Henry's matched-pairs t-test. Answers should be rounded to the nearest three decimal places.

Name: question 15I am not understanding how to find the t value and p value
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Description: question 15I am not understanding how to find the t value and p value ### Educational Content: Statistical Analysis of Reaction Times**Table Summary:**The table presents summary statistics for reaction times of right-handed high school student gamers

Question 15: The test statistic is, t=x¯differenceSEdifference=-21.3493833.59961=-0.635 Thus, the test statistic is -0.635.The sample size is, SEdifference=sdifferencen33.59961=190.06807nn=190.0680733.59961=5.65685n=5.656852≈32 The sample size is 32. The degrees of freedom is, df=n-1=32-1=31 The degrees of freedom is 31. The hypothesis is left tail. The probability of t less than –0.635 with 31 degrees of freedom can be obtained using the excel formula “=T.DIST(–0.635,31,TRUE)”.The P-value is 0.265. Thus, the P-value is 0.265.

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Statistics

Henry then conducts a matched-pairs 1-test at a significance level of æ = 0.05 to test the null hypothesis Ho: µ 2 0 agains the alternative hypothesis H1: µ < 0. The parameter u represents the mean difference of right-hand reaction times and lef hand reaction times for high school student gamers that are right-handed. Given that Henry randomly selected the student for his sample, and the sample data set of calculated differences are roughly normally distributed without any outliers, the conditions for a matched-pairs t-test are satisfied. Compute the 1-statistic and P-value for Henry's matched-pairs 1-test. Please round your answers to the nearest three decimal places.

Henry then conducts a matched-pairs 1-test at a significance level of æ = 0.05 to test the null hypothesis Ho: µ 2 0 agains the alternative hypothesis H1: µ < 0. The parameter u represents the mean difference of right-hand reaction times and lef hand reaction times for high school student gamers that are right-handed. Given that Henry randomly selected the student for his sample, and the sample data set of calculated differences are roughly normally distributed without any outliers, the conditions for a matched-pairs t-test are satisfied. Compute the 1-statistic and P-value for Henry's matched-pairs 1-test. Please round your answers to the nearest three decimal places.

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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question 15

I am not understanding how to find the t value and p value

### Educational Content: Statistical Analysis of Reaction Times

**Table Summary:**

The table presents summary statistics for reaction times of right-handed high school student gamers:

- **Right-hand reaction time:**
- **Sample mean:** $ \bar{x}_R = 325.55801 $ ms
- **Sample standard deviation:** $ s_R = 112.36310 $ ms
- **Standard error estimate:** $ SE_R = 19.86318 $ ms

- **Left-hand reaction time:**
- **Sample mean:** $ \bar{x}_L = 346.90739 $ ms
- **Sample standard deviation:** $ s_L = 177.79582 $ ms
- **Standard error estimate:** $ SE_L = 31.43016 $ ms

- **Difference (right hand – left hand):**
- **Sample mean:** $ \bar{x} = -21.34938 $ ms
- **Sample standard deviation:** $ s = 190.06807 $ ms
- **Standard error estimate:** $ SE = 33.59961 $ ms

**Analysis Overview:**

- **Objective:** Henry conducts a matched-pairs t-test at a significance level of $ \alpha = 0.05 $ to test the null hypothesis $ H_0: \mu \geq 0 $ against the alternative hypothesis $ H_1: \mu < 0 $. Here, $ \mu $ represents the mean difference between right-hand and left-hand reaction times for the selected students.

- **Conditions:** Henry's sample is randomly selected, and the calculated differences are normally distributed without outliers. These satisfy the conditions for conducting a matched-pairs t-test.

**Task:**

Compute the t-statistic and P-value for Henry's matched-pairs t-test. Answers should be rounded to the nearest three decimal places.

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