Marketing strategists would like to predict consumer response to new products and their accompanying promotional schemes. Consequently, studies that examine the differences between buyers and non buyers of a product are of interest. One study was aimed at characterizing the purchasers and non purchasers of a toothpaste. It utilized independent random samples of size 20 and yielded the data shown in the Sheet 39 on the age of the householder primarily responsible for buying toothpaste. Do the data present sufficient evidence to conclude there is a difference in the mean age of purchasers and non purchasers at alpha = 0.10? Sheet 39 Purchasers Nonpurchasers 34 28 35 22 23 44 44 33 52 55 46 63 28 45 48 31 28 60 34 54 33 53 52 58 41 52 32 52 34 66 49 35 50 25 45 48 29 59 59 61 Select one: a. p-value = 0.0579 do not reject the null hypothesis b. t-stat = 1.95, do not reject the null hypothesis c. t-stat = 1.68, reject the null hypothesis d. p-value = 0.0579 reject the null hypothesis
Marketing strategists would like to predict consumer response to new products and their accompanying promotional schemes. Consequently, studies that examine the differences between buyers and non buyers of a product are of interest. One study was aimed at characterizing the purchasers and non purchasers of a toothpaste. It utilized independent random samples of size 20 and yielded the data shown in the Sheet 39 on the age of the householder primarily responsible for buying toothpaste.
Do the data present sufficient evidence to conclude there is a difference in the mean age of purchasers and non purchasers at alpha = 0.10?
Sheet 39
Purchasers Nonpurchasers
34 28
35 22
23 44
44 33
52 55
46 63
28 45
48 31
28 60
34 54
33 53
52 58
41 52
32 52
34 66
49 35
50 25
45 48
29 59
59 61
p-value = 0.0579 do not reject the null hypothesis
t-stat = 1.95, do not reject the null hypothesis
t-stat = 1.68, reject the null hypothesis
p-value = 0.0579 reject the null hypothesis
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