A food company is developing a new granola bar, and its market analysts are curr

Question

A food company is developing a new granola bar, and its market analysts are currently working on preliminary studies of the packaging design. To help with a marketing strategy, the company was first interested in whether the appeal of the packaging design for the new product (and hence the appeal of the product itself) was related to a person’s gender. There were 100 male and 100 female volunteers available for purposes of evaluation. Both males and females rated the design on a scale of 1 to 10, 1 being “very unappealing” and 10 being “very appealing.” The mean rating for males was x1 = 7.4, with a standard deviation s1 = 1.5. The mean rating for females was x2 = 8.0, with a standard deviation s2 = 2.0. Let 1 and 2 represent the mean ratings we would observe for the populations of males and females, respectively, and assume our samples can be regarded as samples from these populations. If we had used the more accurate software approximation to the degrees of freedom, we would have used which of the following for the number of degrees of freedom for the t procedures? a. 198 b. 191 c. 184 d. 99

Explanation / Answer

Using technology, when

n1 = n2 = 100, s1 = 1.5, s2 = 2.0, we get the degrees of freedom to be

df = 183.6053 --> 184 [ANSWER, C]

[You can seach for online "degrees of freedom calculator for t test" if you don't have other available technology.]

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