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It is known that the average American orders food from a restaurant in person or as...

  1. It is known that the average American orders food from a restaurant in person or as take out 4.2 times a week on average. Suppose we take a sample of 30 Americans and find that the average amount of meals ordered out is 3.2 per week with a sample standard deviation of 2.82 meals. We are interested in testing if the average amount of meals ordered out is actually lower than 4.2 now.
    1. Using the sample of 30 adults, what would the 95% confidence interval be for the population mean?
    2. What are the null and alternative hypotheses?
    3. What is the critical value at 95% confidence?
    4. Calculate the test statistic.
    5. Find the p-value
    6. What conclusion would be made here at the 95% confidence level?
    7. Would my conclusion change if I changed alpha to .01? Show reasoning
Math   Statistics-And-Probability   
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