Question

Resident

Commuter

22	25	27	23	26	28	26	24		18	20	19	18	22	25	24	35
25	20	26	24	27	26	18	19		23	18	23	22	28	25	20	24
18	30	26	18	18	19	32	23		26	30	22	22	22	21	18	20
19	19	18	29	19	22	18	22		19	26	35	19	19	18	19	32
26	19	19	21	23	18	20	18		29	23	21	19	36	27	27	20
22	21	19	21	21	22	18	20		20	21	18	19	23	20	19	19
19	23								20	25

Question 7

From the data in problem 6, compute the p-value and round to 4 decimal places.

Answer 1

For resident

= 22.12, s1 = 3.6847, n1 = 50

For commuter

= 22.76, s2 = 4.7015, n2 = 50

H₀:

H₁:

The test statistic t = ()/sqrt(s1^2/n1 + s2^2/n2)

                            = (22.12 - 22.76)/sqrt((3.6847)^2/50 + (4.7015)^2/50)

                            = -0.76

DF = (s1^2/n1 + s2^2/n2)^2/((s1^2/n1)^2/(n1 - 1) + (s2^2/n2)^2/(n2 - 1))

     = ((3.6847)^2/50 + (4.7015)^2/50)^2/(((3.6847)^2/50)^2/49 + ((4.7015)^2/50)^2/49)

     = 93

P-value = 2 * P(T < -0.76)

             = 2 * 0.2246

             = 0.4492