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hello this is my question A computer company claims that their new keyboard infl

ID: 3047490 • Letter: H

Question

hello this is my question

A computer company claims that their new keyboard influences typing speed. In a pilot study, six subjects typed the same material on both the new and an old keyboard. The scores are given below (in words per minute). Does the new keyboard influence typing speed compared to the old keyboard? Solve this problem explicitly using the using a 95% confidence interval Old New Keyboard Keyboard 48 56 49 68 52 56 65 67 63 59 Formulate the null and research hypothesis Research Null: 1= 2 What are the characteristics of the comparison distribution? Mean Standard deviation Determine the cutoff sample score (critical test statistic value) on the comparison distribution at which the null hypothesis should be rejected. If your test is two-tailed just give the absolute value Determine your sample score on the comparison distribution (i.e. Calculate the appropriate test statistic value(s).) Lower limit & Upper limit Decide whether or not to reject the null hypothesis The confidence interval the mean of the comparison population: therefore, we the null hypothesis. The new keyboard in significantly faster typing than the old keyboard

Explanation / Answer

rsearch: u1 < u2

null: u1=u2

characteristics of comparison distribution

mean -2 AVERAG(diff)

sd 3.286335 STDEV(diff)

critical t

t(a/2,n-1)

=T.INV.2T(0.05,5)

2.570581836

lower =-2-2.57*3.286335/SQRT(6) = -5.448

upper =-2+2.57*3.286335/SQRT(6) = 1.448

the confidence interval contains the mean of comparison popn, thus I fail to reject the null hypothesis. The new key board is not significantly faster typing than old one.

old keyboard new keyboard diff 48 52 -4 56 56 0 49 55 -6 68 65 3 66 67 -1 59 63 -4