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A Sample of 25 Concessions

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A sample of 25 concession stand purchases at the October 22 matinee of Bride of Chucky showed a mean purchase of $5.29 with a standard deviation of $3.02 for the October 26 evening showing of the same movie for a sample of 25 purchases the mean was $5.12 with a standard deviation of $2.14. The means appear to be very close, but, not the variances. At a- .05, is there a difference in variances? show all steps clearly, including an Illustration of the decision rule.

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Solution Summary

This solution shows step-by-step calculations in a statistical hypothesis on a sample of 25 concession stands to determine the difference in prices of the same movie.

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Solution. Given s1=3.02, s2=2.14, n1=n2=25. We test

Step 1: Hypotheses:

H0: sigma1^2=sigma2^2
H1: sigma1^2 is NOT equal to sigma2^2.

Step 2: ...

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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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