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Test Statistic,Critical Values & Limits Containing P-Value

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Find the test statistic, find the critical values of x2 and limits containing P-value, then determine whether there is sufficient evidenceto support the given alternative hypothesis

H1: variance is not equal to 18, alpha = 0.05, n =25, s = 22

Determine the test statistic (round to nearest thousandth)
Use a chi square table to determine the critical values
Enter lower value first. ___ ___(round to thousandth)

Choose one:
a. There is sufficient evidence to support the claim
b. There is not sufficient evidence to support the claim

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Solution Summary

The solution does a chi squared test for a statistic and decides if the evidence for a claim is sufficient.

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Find the test statistic, find the critical values of x2 and limits containing P-value, then determine whether there is sufficient evidence to support the given alternative ...

Solution provided by:
Changping Wang, MA
Education
  • 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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