he average GPA of a random sample of 40 college students who take evening classes was calculated to be 3.38 with a standard deviation of 0.04. The average GPA of a random sample of 23 college students who take daytime classes was calculated to be 3.35 with a standard deviation of 0.02. Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .01 significance level. Claim: Select an answer u 1 < u 2 u 1 ≤ u 2 p 1 ≥ p 2 u 1 ≥ u 2 u 1≠u 2 u 1 > u 2 p 1≠p 2 u 1 = u 2 p 1 ≤ p 2 p 1 < p 2 p 1 > p 2 p 1 = p 2 which corresponds to Select an answer H0: u 1 = u 2 H0: u 1 ≤ u 2 H1: u 1 < u 2 H1: p 1≠p 2 H1: p 1 > p 2 H1: p 1 < p 2 H0: p 1 ≤ p 2 H1: u 1 > u 2 H1: u 1≠u 2 H0: u 1≠u 2 Opposite: Select an answer u 1≠u 2 p 1≠p 2 p 1 > p 2 p 1 ≤ p 2 p 1 ≥ p 2 u 1 < u 2 p 1 = p 2 u 1 = u 2 p 1 < p 2 u 1 ≤ u 2 u 1 > u 2 u 1 ≥ u 2 which corresponds to Select an answer H1: u 1≠u 2 H1: u 1 > u 2 H0: u 1 ≤ u 2 H0: u 1 = u 2 H1: p 1 = p 2 H1: p 1 ≥ p 2 H0: p 1 > p 2 H1: u 1 < u 2 H0: p 1≠p 2 H1: p 1 <= p 2 H0: u 1≠u 2 The test is: Select an answer left-tailed right-tailed two-tailed
he average GPA of a random sample of 40 college students who take evening classes was calculated to be 3.38 with a standard deviation of 0.04. The average GPA of a random sample of 23 college students who take daytime classes was calculated to be 3.35 with a standard deviation of 0.02. Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .01 significance level. Claim: Select an answer u 1 < u 2 u 1 ≤ u 2 p 1 ≥ p 2 u 1 ≥ u 2 u 1≠u 2 u 1 > u 2 p 1≠p 2 u 1 = u 2 p 1 ≤ p 2 p 1 < p 2 p 1 > p 2 p 1 = p 2 which corresponds to Select an answer H0: u 1 = u 2 H0: u 1 ≤ u 2 H1: u 1 < u 2 H1: p 1≠p 2 H1: p 1 > p 2 H1: p 1 < p 2 H0: p 1 ≤ p 2 H1: u 1 > u 2 H1: u 1≠u 2 H0: u 1≠u 2 Opposite: Select an answer u 1≠u 2 p 1≠p 2 p 1 > p 2 p 1 ≤ p 2 p 1 ≥ p 2 u 1 < u 2 p 1 = p 2 u 1 = u 2 p 1 < p 2 u 1 ≤ u 2 u 1 > u 2 u 1 ≥ u 2 which corresponds to Select an answer H1: u 1≠u 2 H1: u 1 > u 2 H0: u 1 ≤ u 2 H0: u 1 = u 2 H1: p 1 = p 2 H1: p 1 ≥ p 2 H0: p 1 > p 2 H1: u 1 < u 2 H0: p 1≠p 2 H1: p 1 <= p 2 H0: u 1≠u 2 The test is: Select an answer left-tailed right-tailed two-tailed
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The average GPA of a random sample of 40 college students who take evening classes was calculated to be 3.38 with a standard deviation of 0.04. The average GPA of a random sample of 23 college students who take daytime classes was calculated to be 3.35 with a standard deviation of 0.02. Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .01 significance level.
Claim: Select an answer u 1 < u 2 u 1 ≤ u 2 p 1 ≥ p 2 u 1 ≥ u 2 u 1≠u 2 u 1 > u 2 p 1≠p 2 u 1 = u 2 p 1 ≤ p 2 p 1 < p 2 p 1 > p 2 p 1 = p 2 which corresponds to Select an answer H0: u 1 = u 2 H0: u 1 ≤ u 2 H1: u 1 < u 2 H1: p 1≠p 2 H1: p 1 > p 2 H1: p 1 < p 2 H0: p 1 ≤ p 2 H1: u 1 > u 2 H1: u 1≠u 2 H0: u 1≠u 2
Opposite: Select an answer u 1≠u 2 p 1≠p 2 p 1 > p 2 p 1 ≤ p 2 p 1 ≥ p 2 u 1 < u 2 p 1 = p 2 u 1 = u 2 p 1 < p 2 u 1 ≤ u 2 u 1 > u 2 u 1 ≥ u 2 which corresponds to Select an answer H1: u 1≠u 2 H1: u 1 > u 2 H0: u 1 ≤ u 2 H0: u 1 = u 2 H1: p 1 = p 2 H1: p 1 ≥ p 2 H0: p 1 > p 2 H1: u 1 < u 2 H0: p 1≠p 2 H1: p 1 <= p 2 H0: u 1≠u 2
The test is: Select an answer left-tailed right-tailed two-tailed
The test statistic is: tt = (to 2 decimals)
The P-value is: Select an answer P-value < 0.005 0.005 < P-value < 0.01 0.01 < P-value < 0.025 0.025 < P-value < 0.05 0.05 < P-value < 0.1 0.1 < P-value
Based on this we: Select an answer Fail to reject the null hypothesis Accept the null hypothesis Cannot determine anything Reject the null hypothesis
Conclusion There Select an answer does does not appear to be enough evidence to support the claim that the mean GPA of night students is larger than the mean GPA of day students.
Claim: Select an answer u 1 < u 2 u 1 ≤ u 2 p 1 ≥ p 2 u 1 ≥ u 2 u 1≠u 2 u 1 > u 2 p 1≠p 2 u 1 = u 2 p 1 ≤ p 2 p 1 < p 2 p 1 > p 2 p 1 = p 2 which corresponds to Select an answer H0: u 1 = u 2 H0: u 1 ≤ u 2 H1: u 1 < u 2 H1: p 1≠p 2 H1: p 1 > p 2 H1: p 1 < p 2 H0: p 1 ≤ p 2 H1: u 1 > u 2 H1: u 1≠u 2 H0: u 1≠u 2
Opposite: Select an answer u 1≠u 2 p 1≠p 2 p 1 > p 2 p 1 ≤ p 2 p 1 ≥ p 2 u 1 < u 2 p 1 = p 2 u 1 = u 2 p 1 < p 2 u 1 ≤ u 2 u 1 > u 2 u 1 ≥ u 2 which corresponds to Select an answer H1: u 1≠u 2 H1: u 1 > u 2 H0: u 1 ≤ u 2 H0: u 1 = u 2 H1: p 1 = p 2 H1: p 1 ≥ p 2 H0: p 1 > p 2 H1: u 1 < u 2 H0: p 1≠p 2 H1: p 1 <= p 2 H0: u 1≠u 2
The test is: Select an answer left-tailed right-tailed two-tailed
The test statistic is: tt = (to 2 decimals)
The P-value is: Select an answer P-value < 0.005 0.005 < P-value < 0.01 0.01 < P-value < 0.025 0.025 < P-value < 0.05 0.05 < P-value < 0.1 0.1 < P-value
Based on this we: Select an answer Fail to reject the null hypothesis Accept the null hypothesis Cannot determine anything Reject the null hypothesis
Conclusion There Select an answer does does not appear to be enough evidence to support the claim that the mean GPA of night students is larger than the mean GPA of day students.
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