Consider the following hypothesis test. H0: μ = 100 Ha: μ ≠ 100 A sample of 65 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.05. (a) x = 103 and s = 11.5 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (b) x = 96.5 and s = 11.0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) x = 102 and s = 10.5 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value =
Added by Diane M.
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5. We want to test the null hypothesis H0: μ = 100 against the alternative hypothesis Ha: μ ≠ 100, using a significance level α = 0.05. First, we need to find the test statistic, which is given by the formula: t = (x̄ - μ) / (s / √n) Plugging in the values, we Show more…
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