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Testing Claims Using P-values

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Problem:
Using and Interpreting Concepts
Testing Claims Using P-values
(a) write the claim mathematically and identify Ho and Ha.
(c) find the value.
(d) decide whether to reject or fail to reject the null hypothesis.
(e) interpret the decision in the context of the original claim.
33. Mathematics Assessment Tests In Illinois, a random sample of 85 eighth grade
students has a mean score of 265 with a standard deviation of 55 on a
national mathematics assessment test. This test result prompts a state
school administrator to declare that the mean score for the state's eighth
graders on the examination is more than 260. At a=0.04, is there enough
evidence to support the administrator's claim? (Adapted from National Center
for Education Statistics)

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Solution Summary

The solution examines testing claims and using P-values.

Solution Preview

Problem:
Using and Interpreting Concepts
Testing Claims Using P-values
(a) write the claim mathematically and identify Ho and Ha.
(c) find the value.
(d) decide whether to reject or fail to reject the null hypothesis.
(e) interpret the decision in the context of the original claim.
33. Mathematics Assessment Tests In Illinois, a random sample of 85 eighth grade ...

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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