Reference no: EM132342157

Statistic Project -

Introduction: Use a scientific calculator TI-84 for all work.

Test if there's a difference in my reaction time for my left and my right hand. All my life, I am right-handed, for most of day to day activities, and specifically for writing, but I can do a lot with my left hand as well.

Right hand

Class	Midpoint	N	Relative Frequency
195-205	200	3	7.5%
205-215	210	6	15.0%
215-225	220	10	25.0%
225-235	230	10	25.0%
235-245	240	4	10.0%
245-255	250	5	12.5%
255-265	260	2	5.0%
Total		40	100.0%

Left hand

Class	Midpoint	N	Relative Frequency
205-215	210	4	10.0%
215-225	220	4	10.0%
225-235	230	10	25.0%
235-245	240	9	22.5%
245-255	250	7	17.5%
255-265	260	6	15.0%
Total		40	100.0%

1) Plots:

Frequency histogram on graph paper with appropriate labels. You can do this neatly, take pictures, then insert the pictures into your document. Label both axis of histogram. Need units on histogram. Need a Left hand and a right-hand histogram.

2) Summary Statistics: (display need correction? Check Input data is correct-if not correct-use TI-84 calculator)

Sample 1	Right hand	Sample 2	Left hand
Sample Mean, x-	226.3	Sample Mean, x-	236.45
Sample std dev, s	16.71	Sample std dev, s	15.10
Minimum	198	Minimum	208
Q1	215.75	Q1	226
Median	226	Median	236.5
Q3	236.75	Q3	248
Maximum	259	Maximum	263
LF	231.64	LF	241.28
UF	220.96	UF	231.62
Outliers		Outliers

3) Box Plots-(construct and analyze boxplots)

4) Confidence intervals: (calculate and interpret the results)

In these confidence intervals we'll use confidence intervals for a single sample (one for the left-hand results, and one for the right hand's results). Since we don't know neither of the populations' real standard deviations, we'll use the samples' standard deviations.

So for the right hand-and the result is-

So, the confidence interval for the 95% of the results for the right hand is- between

And for the left hand - this is the 95% confidence interval-

So, the final result is-

So, the confidence interval for the 95% of the results for the left hand is- between

5) Hypotheses testing:

In this section I'll check if there's a significant difference between the left-hand results and the right-hand results for α=0.05 level of significance. 2-SampTTest

The set of hypotheses:

H₀: μ_left = μ_right; H_a: μ_left ≠ μ_right

6) Finding the rejection area:

7) Finding the t-statistic-

8) Finding and comparing to the critical t value-

9) Final Conclusion-

Conclusion (Final paragraph)

Note - Must have use of a TI-84 Scientific calculator. No other technology is permissible.