Question

We have two set of data in which it gives me n1=40 , n2=40 , mean1= 8.379 ,mean2=5.691 , and st.devation1=1.630 ,st.devation2=1.591, the experiment is about the reaction speed between two persons.

calculate the curve of operation

Answer 1

The details Solution solved in Minitab software given below

Path:

1. Step 1: Click Stat → Basic Statistics → 2-Sample t.
2. Step 2: Click in the blank box next to Summarize Data
3. Step 3: Click in the blank box put value n1 and n2 also mean and sd
4. Step 4: Click opction two sided hypotheses testing
5. Step 5: click on OK

Ho: There is no significance difference between about the reaction speed between two persons.

H1:There is significance difference between about the reaction speed between two persons.

Minitab Output:

Two-Sample T-Test and CI

Method

μ₁: mean of Sample 1

µ₂: mean of Sample 2

Difference: μ₁ - µ₂

Equal variances are not assumed for this analysis.

Descriptive Statistics

Sample	N	Mean	StDev	SE Mean
Sample 1	40	8.38	1.63	0.26
Sample 2	40	5.69	1.59	0.25

Estimation for Difference

Difference	95% CI for Difference
2.688	(1.971, 3.405)

Test

Null hypothesis	H₀: μ₁ - µ₂ = 0
Alternative hypothesis	H₁: μ₁ - µ₂ ≠ 0

T-Value	DF	P-Value
7.46	77	0.000

Conclusion: The p-value =0.00 and alpha value =0.05

alpha value is greater than p-value then Reject Ho

i.e. There is significance difference between about the reaction speed between two persons at 5% of level of significance.