Question

A business analyst wants to know if a new website design compared to an old website design is showing increased page views per visit. Two different samples of customers are randomly sent to one of two different websites, offering the same products, but with different designs. Is there a difference in average page views between the new and old website design?

Use data from "website" sheet in excel. Which of the following was the p-value you used for this statistical test?

		0.01
		-44.66
		2.00676E-11 (same as 2 x10-11or 0.00000000002007)
		1.9847

new design	old design
79	109
33	99
78	126
36	104
32	115
95	57
36	71
29	111
14	132
43	90
70	142
72	102
78	61
67	128
44	105
10	147
30	139
67	123
84	141
30	93
65	88
31	50
60	150
34	55
85	64
51	63
45	91
49	143
95	80
30	57
94	117
90	82
84	68
25	91
51	147
39	142
13	84
12	122
54	139
80	100
77	95
12	50
88	81
10	67
96	62
96	92
54	98
94	64
14	83
80	148

Answer 1

Solution: For the data given in the question statement: New Design: Sample size n, = 50 Sample standard deviation s1 Sample mean 28.052 154.70 Old Design: Sample size 50 mn2 30.753 Sample standard deviation s2 Sample mean 99.36 2 Null Hypothesis: Alternative Hypothesis: Ha: 1 H2 Degrees of Freedom: 2 2 + n2 n1 df 2 2 2 1 1 1 n2 n1 1n1 n2 2 28.0522 50 30.7532 50 df 2 28.0522 + 2 30.7532 1 1 50 1 97.2 97(Rounding down) 50 1 50 50 df NN

Test Statistic: t = [(r- ) (- ) + n2 [54.70 99.36 (0)] t= 28.0522 50 30.7532 50 t -7.587 P-value: From t-distribution table, the area in the lower tail to the left of (t -7.587) and for (df 97), is given by 1.00338E 11 The test is a two tailed test. Hence, p-value (1.00338E - 11) x 2 2.00676E 11