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Use Random number generator (under Data Analysis) to create two sets of data each 20 points...

Use Random number generator (under Data Analysis) to create two sets of data each 20 points long. Use the following parameters: number of variables (2), number of data point (20), Distribution (Normal), Mean (20), Standard Deviation (5), Random seed (4565). Perform t-test on these two data sets. And answer the questions for Assessment. (Pick the closest answer)

1. What is the range P-value?

  • a. Between 0% and 1%
  • b. Between 1% and 2%
  • c. Between 2% and 3%
  • d. None of these

2. What is the Statistical interpretation?

  • a. The P-value is too small to have a conclusive answer.
  • b. The P-value is too large to have a conclusive answer.
  • c. The P-value is too large and we can conclude that the two averages are the same.
  • d. None of the above

3. What is the conclusion?

  • a. Statistical interpretation agrees with the intuition: data are created with identical means and consequently we cannot conclusively claim that they have different averages.
  • b. Statistical interpretation agrees with the intuition: data are created with identical means and we can conclusively claim that they have different averages.
  • c. The P-value is large and statistics confirms that the data have identical averages.
  • d. None of these
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Answer #1

> x=rnorm (20,20,5) [1] 20.38894 23.31254 26.13275 28.33840 26.61284 22.42371 23.81341 21.74712 [9] 14.74301 20.68463 12.8664

The results of the t-test give P-Value - 0.8863. We accept the null hypothesis.

(1) The correct choice is (d). P-Value is more than 5%.

(2) The correct choice is (c). The P-Value is too large and we can conclude that the two averages are the same.

(3) The correct choice is (c). The P-Value is too large and statistics confirm that the data have identical averages.

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