In a randomized double-blind, placebo-controlled trial of children, an herb was tested as a treatment for upper respiratory infections in children. "Days of fever" was one criterion used to measure effects. Among 303 children treated with the herb, the mean number of days with fever was 0.82, with a standard deviation of 1.59 days. Among 363 children given a placebo, the mean number of days with fever was 0.62 with a standard deviation of 1.16 days. Use a 0.05 significance level to test the claim that the herb affects the number of days with fever. Based on these results, does the herb appear to be effective? Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Let population 1 be children treated with the herb. The test statistic is The P-value is
In a randomized double-blind, placebo-controlled trial of children, an herb was tested as a treatment for upper respiratory infections in children. "Days of fever" was one criterion used to measure effects. Among 303 children treated with the herb, the mean number of days with fever was 0.82, with a standard deviation of 1.59 days. Among 363 children given a placebo, the mean number of days with fever was 0.62 with a standard deviation of 1.16 days. Use a 0.05 significance level to test the claim that the herb affects the number of days with fever. Based on these results, does the herb appear to be effective? Assume that the two samples are independent simple random samples selected from
The test statistic is
The P-value is
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