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​​​​​​​1.704 in the standard normal. In the standard normal, will the number 1.610 give a higher...

​​​​​​​1.704 in the standard normal.

  1. In the standard normal, will the number 1.610 give a higher or lower 1-sided p-value than that given by 1.704? Briefly explain your answer.
  1. In the t with 63 degrees of freedom, will the number 1.610 give a higher or lower 1-sided p-value than that given by 1.704? Briefly explain your answer.
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Answer #1

Solution:-

a) In the standard normal, the number 1.610 give a higher 1-sided p-value than that given by 1.704.

Since 1.610 lies to the left of the 1.704 in the standard normal distribution, hence one sided p-value for the 1.610 would be higher as comparative to one sided p-value for the 1.704.

р-0.054 -3 -2 -1 2 z-1.61

p = 0.044 -3 -2 -1 2 z = 1.704

b) In the t with 63 degrees of freedom, the number 1.610 give a higher 1-sided p-value than that given by 1.704.

Since 1.610 lies to the left of the 1.704 in the t with 63 degrees of freedom, hence one sided p-value for the 1.610 would be higher as comparative to one sided p-value for the 1.704.

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