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

Left hand

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)

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.