ou wish to test the following claim (Ha) at a significance level of α=0.10.       Ho:μ1=μ2       Ha:μ1<μ2 You obtain a sample of size n1=21 with a mean of M1=72.5 and a standard deviation of SD1=18.7 from the first population. You obtain a sample of size n2=22 with a mean of M2=76.2 and a standard deviation of SD2=15.8 from the second population.  Use the Theory-based inference applet to conduct the test of significance. (a)  What is the t-score for this sample?       t-score =   (Round to 2 decimal places.)  (b)  What is the p-value for this sample?       p-value =   (Round to 4 decimal places.) (c)  The p-value is... less than (or equal to) α   greater than α     (d)  This p-value leads to a decision to... strong evidence to support the alternative accept the null null is plausible   (e)  As such, the final conclusion is that... We conclude that μ1<μ2 . We conclude that μ1=μ2 . We have statistically significant evidence to support the claim that μ1<μ2 .. It is plausible that μ1=μ2

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You wish to test the following claim (Ha) at a significance level of α=0.10.

      Ho:μ1=μ2
      Ha:μ1<μ2

You obtain a sample of size n1=21 with a mean of M1=72.5 and a standard deviation of SD1=18.7 from the first population. You obtain a sample of size n2=22 with a mean of M2=76.2 and a standard deviation of SD2=15.8

from the second population.  Use the Theory-based inference applet to conduct the test of significance.



(a)  What is the t-score for this sample?
      t-score =   (Round to 2 decimal places.

(b)  What is the p-value for this sample?
      p-value =   (Round to 4 decimal places.)

(c)  The p-value is...

  • less than (or equal to) α
  •  
  • greater than α
  •  

 

(d)  This p-value leads to a decision to...

  • strong evidence to support the alternative
  • accept the null
  • null is plausible

 

(e)  As such, the final conclusion is that...

  • We conclude that μ1<μ2
  • .
  • We conclude that μ1=μ2
  • .
  • We have statistically significant evidence to support the claim that μ1<μ2
  • ..
  • It is plausible that μ1=μ2

.

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