Question

what is the test static? what is the critical value? what is the p value?

There is a new input technique for touch-screen devices that allows users to input a word by sliding a finger from letter to letter. The user's finger is only removed from the keyboard between words. The developers claim that typing speed using this new input technique is faster when compared with traditional touch-screen keyboards. The accompanying data table shows the typing speeds of 10 individuals who were measured typing using both methods. Complete parts (a) through (d) below.

b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using α = 0.01. 

The test statistic is _______ (Round to two decimal places as needed.) 

Answer 1

Excel:

Data -->Data analysis --> t test : paired

New method	Traditional
49	41
53	46
43	35
36	26
52	44
40	40
36	41
33	37
53	46
45	36
t-Test: Paired Two Sample for Means
	Variable 1	Variable 2
Mean	44	39.2
Variance	57.55555556	36.62222222
Observations	10	10
Pearson Correlation	0.684901243
Hypothesized Mean Difference	0
df	9
t Stat	2.713602101
P(T<=t) one-tail	0.011928192
t Critical one-tail	2.821437925
P(T<=t) two-tail	0.023856385
t Critical two-tail	3.249835542

The test statistic is 2.71

critical value = 3.2498 = 3.250

P-value = 0.0239