Question: Taste Tests and Tasty t-tests

You are a marketing manager at PepsiCo and have gathered taste test data. Your biggest competitor for one of your leading soft drinks (Diet Pepsi) is Diet Coke. In your study you invited a random sample of individuals to participate in a focus group. Each participant was presented with the colas in random order with a glass of water to sip in between. Participants rated each cola on a scale from 1 to 7 (higher is better). See the TasteTest worksheet on the accompanying data spreadsheet. You only need the coloured columns; the first six are self-explanatory and column K indicates which cola each subject tasted first.

1. Carry out three hypothesis tests from the perspective of PepsiCo to see whether their product is the preferred cola in the separate areas of taste, freshness, and quality. Use a 0.05 level of significance.
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2. Now construct three 95% confidence intervals to supplement the three hypothesis tests you carried out in part a). Do the confidence intervals confirm the conclusions in part a)?
3. State your methods and conclusions in a report from your perspective as a marketing manager at PepsiCo.
4. Explain very briefly what would change in your computations and results if you carried out the hypothesis tests and confidence intervals from the perspective of Coca Cola.

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