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Filet Mignon and Weight Hypothesis Testing

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I love filet mignon. The full cut is supposed to weigh 16 ounces when fully cooked. My restaurant serves 200 servings of filet mignon per day. The restaurant claim is they serve filets that are 16 ounces with a standard deviation of .4 ounces due to shrinking while cooking. I ate filet mignon for 16 days straight. The average weight of all the servings was 15.4 ounces. Using a = .10, can I make a public statement and back it up with hypothesis testing that the average filet is actually less that 16 ounces?

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Solution Summary

This solution provides a null and alternative hypothesis and computes the z-statistics and compares it to the p-value to make a decision on whether or not to accept or reject the null hypothesis. All steps are shown with explanations.

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  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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