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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 334 children treated with the herb, the mean number of days with fever was 0.87, with a standard deviation of 1.52 days. Among 370 children given a placebo, the mean number of days with fever was 0.66 with a standard deviation of 1.23 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.

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 334 children treated with the herb, the mean number of days with fever was 0.87, with a standard deviation of 1.52 days. Among 370 children given a placebo, the mean number of days with fever was 0.66 with a standard deviation of 1.23 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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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 334 children treated with the herb, the mean number of days with fever was 0.87, with a standard deviation of 1.52 days. Among 370 children given a placebo, the mean number of days with fever was 0.66 with a standard deviation of 1.23 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.
Transcribed Image Text: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 334 children treated with the herb, the mean number of days with fever was 0.87, with a standard deviation of 1.52 days. Among 370 children given a placebo, the mean number of days with fever was 0.66 with a standard deviation of 1.23 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.
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