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Hypothesis Test - Frozen Dinner

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Your company manufactures low calorie frozen dinners. The advertised calorie content is 200 calories. A consumer activist group, FACT: fat and calories tribunal, is claiming that your product is not consistent. In fact, they contain more than 200 calories. Run a hypothesis test proving that your dinners are less then 200 calories.

CALORIES / DINNER

221
198
203
223
296
202
219
189
208
215
218
207.

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Solution Summary

The solution examines hypothesis testing for a manufacturing company.

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Null hypothesis H0: your dinners are less than or equal to 200 calories;
Alternative hypothesis H1: your dinners are greater than 200 calories.

Use t-test. We use Excel to get the ...

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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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