A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food product-sliced apples-was packaged to appeal to children. The researchers showed the packaging to a sample of 348 school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1 = "not willing at all" and 5 = "very willing." The data are summarized as x = 3.56 and s=2.19. Suppose the researchers knew that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is μ = 3. Complete parts a and b below.

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A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's
desire to consume the product. A fictitious brand of a healthy food product-sliced apples-was packaged to appeal to
children. The researchers showed the packaging to a sample of 348 school children and asked each whether he or she
was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1 = "not willing at all" and
5 = "very willing." The data are summarized as x = 3.56 and s=2.19. Suppose the researchers knew that the mean
willingness to eat an actual brand of sliced apples (which is not packaged for children) is µ = 3. Complete parts a and b
below.
a. Conduct a test to determine whether the true mean willingness to eat the brand of sliced apples packaged for
children exceeded 3. Use α = 0.10 to make your conclusion.
State the null and alternative hypotheses.
Ho:
H₂:
Transcribed Image Text:A health journal conducted a study to see if packaging a healthy food product like junk food would influence children's desire to consume the product. A fictitious brand of a healthy food product-sliced apples-was packaged to appeal to children. The researchers showed the packaging to a sample of 348 school children and asked each whether he or she was willing to eat the product. Willingness to eat was measured on a 5-point scale, with 1 = "not willing at all" and 5 = "very willing." The data are summarized as x = 3.56 and s=2.19. Suppose the researchers knew that the mean willingness to eat an actual brand of sliced apples (which is not packaged for children) is µ = 3. Complete parts a and b below. a. Conduct a test to determine whether the true mean willingness to eat the brand of sliced apples packaged for children exceeded 3. Use α = 0.10 to make your conclusion. State the null and alternative hypotheses. Ho: H₂:
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