Question

The manufacturer of a popular preservative for hot dogs states that his new product will preserve...

The manufacturer of a popular preservative for hot dogs states that his new product will preserve the dogs for an average of 35 days (in refrigeration) with a standard deviation of 4.5 days. You want to test out his statement, so you select a random sample of 50 hot dogs that have been treated with his preservative and determine how long the dogs stay "edible" in refrigeration. Your sample mean is 32 days. Does the evidence support the manufacturer's 35-day freshness guarantee?

1. Write the alternative hypothesis in this study.

2. Find the standard error of the distribution of sample means. (2 decimals)

3. Find the z-value for the sample mean of x̄=32 days. ( 2 decimals)

4. What is the correct conclusion about the null hypothesis based on the results?

5. Briefly summarize the outcome of the hypothesis test and the conclusion that can be drawn from this study.

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