You wish to test the claim Ha using a significance level of α=0.01.       Ho:μ1=μ2       Ha:μ1≠μ2 You obtain a sample of size n1=28 with a mean of ¯x1=52.3 and a standard deviation of s1=13.7 from the first population. You obtain a sample of size n2=25 with a mean of ¯x2=42.1 and a standard deviation of s2=18.1 from the second population.  Use the Theory-based inference applet to answer the following questions. (a)  What is the t-score for this situation? Report your answer accurate to two decimal places.       t-score = (b)  What is the (theory-based) p-value for this situation? Report your answer accurate to four decimal places.       p-value = (c)  State a conclusion about the claim using a complete sentence.

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You wish to test the claim Ha using a significance level of α=0.01.

      Ho:μ1=μ2
      Ha:μ1≠μ2

You obtain a sample of size n1=28 with a mean of ¯x1=52.3 and a standard deviation of s1=13.7 from the first population. You obtain a sample of size n2=25 with a mean of ¯x2=42.1 and a standard deviation of s2=18.1 from the second population.  Use the Theory-based inference applet to answer the following questions.

(a)  What is the t-score for this situation? Report your answer accurate to two decimal places.
      t-score =

(b)  What is the (theory-based) p-value for this situation? Report your answer accurate to four decimal places.
      p-value =

(c)  State a conclusion about the claim using a complete sentence.

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