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To evaluate the effect of a treatment, a sample is obtained from a population with a mean of u = 32.5, and the treatment is administered to the individuals in the sample. After the treatment, the sample mean is found to be M = 33.7 with a sample variance of s? = 4. If the sample size is n = 20, what is the t statistic, and are the data sufficient to conclude that the treatment increased the scores significantly? Use a one-tailed test and a = .01. O t = 3.29, which is not sufficient to reject the null hypothesis O t = 2.55, which is not sufficient to reject the null hypothesis Ot = 2.68, which is sufficient to reject the null hypothesis Ot= 3.80, which is sufficient to reject the null hypothesis

To evaluate the effect of a treatment, a sample is obtained from a population with a mean of u = 32.5, and the treatment is administered to the individuals in the sample. After the treatment, the sample mean is found to be M = 33.7 with a sample variance of s? = 4. If the sample size is n = 20, what is the t statistic, and are the data sufficient to conclude that the treatment increased the scores significantly? Use a one-tailed test and a = .01. O t = 3.29, which is not sufficient to reject the null hypothesis O t = 2.55, which is not sufficient to reject the null hypothesis Ot = 2.68, which is sufficient to reject the null hypothesis Ot= 3.80, which is sufficient to reject the null hypothesis

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 9PPS
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To evaluate the effect of a treatment, a sample is obtained from a population with a mean of µ = 32.5, and the treatment is administered to the individuals in the sample. After the treatment, the sample mean is found to be M = 33.7 with a sample variance of s² = 4. If the sample size is n = 20, what is the t statistic, and are the data sufficient to conclude that the treatment increased the scores significantly? Use a one-tailed test and a = .01. Ot = 3.29, which is not sufficient to reject the null hypothesis O t = 2.55, which is not sufficient to reject the null hypothesis O t = 2.68, which is sufficient to reject the null hypothesis Ot = 3.80, which is sufficient to reject the null hypothesis
Transcribed Image Text:To evaluate the effect of a treatment, a sample is obtained from a population with a mean of µ = 32.5, and the treatment is administered to the individuals in the sample. After the treatment, the sample mean is found to be M = 33.7 with a sample variance of s² = 4. If the sample size is n = 20, what is the t statistic, and are the data sufficient to conclude that the treatment increased the scores significantly? Use a one-tailed test and a = .01. Ot = 3.29, which is not sufficient to reject the null hypothesis O t = 2.55, which is not sufficient to reject the null hypothesis O t = 2.68, which is sufficient to reject the null hypothesis Ot = 3.80, which is sufficient to reject the null hypothesis
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