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Dataset: 37, 25, 40, 49, 26, 33, 59, 21 x = 51 What is the variance? What is the mean? When calculating the t-value, what

Dataset: 37, 25, 40, 49, 26, 33, 59, 21

x = 51

  1. What is the variance?
  2. What is the mean?
  3. When calculating the t-value, what is the numerator, denominator, and the final t-value?
  4. Degrees of freedom
  5. Critical value. Do you use one tail or two tail? Why?
  6. Would you reject the null hypothesis?

Use 4 decimals for the answers.

See below my answers and the table to find critical value. I need you to validate my answers and show me your calculations if your result and mine do not coincide.

image text in transcribedimage text in transcribed
X- Score MeanX Squared 37 0.75 0.5625 25 -11.25 126.5625 40 3.75 14.0625 49 12.75 162.5625 26 -10.25 105.0625 33 -3.25 10.5625 59 22.75 517.5625 21 -15.25 232.5625 36.25 mean 1169.5 Sum Squares 51 constant 146.1875 Variance t= -3.2276 -14.75 numerator 4.5699 denominator df= 7 CV=+- 2.365 To reject: t-value has to be greater than 2.365 or less than -2.365. t

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