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Question: The mean systolic blood pressure for white males aged 35-44 in Canada is 127.09. A report said that the mean blood pressure of a sample of 59 diabetic males aged 35-44 is 128.04. A previous study showed that the standard deviation of systolic blood pressure for white males aged 35-44 in Canada is estimated to be 7.2. Let μ denote the true mean systolic blood pressure for diabetic males aged 35-44. H0: μ=127.09 versus H1: μ>127.09 What is the p -value
To calculate the p-value, we need to first calculate the test statistic using the formula: t = (x̄ - μ) / (s / √n) Where x̄ = 128.04 (sample mean), μ = 127.09 (population mean under null hypothesis), s = 7.2 (estimated standard deviation), and n = 59 (sample size). Plugging in the values, we get: t = (128.04 - 127.09) / (7.2 / √59) = 0.725 Using a t-distribution table with 58 degrees of freedom (59-1), we find the p-value to be approximately 0.235 (one-tailed test, since H1: μ>127.09). Therefore, the p-value is 0.235.
March 26, 2023, 9:30 p.m.
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