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.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0e2c5934-0570-4004-b5ac-6d60456e402b%2F4da55878-5a01-4fad-97c1-73794f80d5bd%2Fy1l2oib_processed.png&w=3840&q=75)
Transcribed Image Text:### 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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