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.
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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