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Statistics Concepts: Cases and Observations

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14. Approximately ______ of the area (cases or observations) under the
normal curve is found between 1 standard deviation above and 1 standard deviation below the mean.

15. What percentage of area (or cases or observations) is found above a z value of 1.96? ._____

16. A random sample of 20 observations is drawn from a population with a standard deviation of 677. Calculate the standard error of the mean.

17. Under what condition do you calculate the t statistic?

18. Under what condition do you calculate the z statistic?

19. Define Type I error. (2 Points) Define Type II error:

23. A _____________ table is a classification tool that reveals the various possibilities in the comparison of two variables.

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14. Approximately ______ of the area (cases or observations) under the
normal curve is found between 1 standard deviation above and 1 standard deviation below the mean. (2 Points)

The answer is P(|Z|>1)=0.3173

You can use z-table to find P(Z<-1)=P(Z>1)=0.1587.

15. What percentage of area (or cases or observations) is found above a z value of 1.96? ._____ (2 Points)

The ...

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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