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A University Is Interested in Promoting Graduates of Its Honors

Question 47

Multiple Choice

A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.60. The population standard deviation is assumed to equal 0.40. To establish whether the mean GPA exceeds 3.50, the appropriate hypotheses are ________.


A) H0: μ ≤ 3.50, HA: μ > 3.50
B) H0: A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.60. The population standard deviation is assumed to equal 0.40. To establish whether the mean GPA exceeds 3.50, the appropriate hypotheses are ________. A)  H<sub>0</sub>: μ ≤ 3.50, H<sub>A</sub>: μ > 3.50 B)  H<sub>0</sub>:   ≤ 3.50, H<sub>A</sub>:   > 3.50 C)  H<sub>0</sub>: μ ≥ 3.50, H<sub>A</sub>: μ < 3.50 D)  H<sub>0</sub>:   ≥ 3.50, H<sub>A</sub>:   < 3.50 ≤ 3.50, HA: A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.60. The population standard deviation is assumed to equal 0.40. To establish whether the mean GPA exceeds 3.50, the appropriate hypotheses are ________. A)  H<sub>0</sub>: μ ≤ 3.50, H<sub>A</sub>: μ > 3.50 B)  H<sub>0</sub>:   ≤ 3.50, H<sub>A</sub>:   > 3.50 C)  H<sub>0</sub>: μ ≥ 3.50, H<sub>A</sub>: μ < 3.50 D)  H<sub>0</sub>:   ≥ 3.50, H<sub>A</sub>:   < 3.50 > 3.50
C) H0: μ ≥ 3.50, HA: μ < 3.50
D) H0: A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.60. The population standard deviation is assumed to equal 0.40. To establish whether the mean GPA exceeds 3.50, the appropriate hypotheses are ________. A)  H<sub>0</sub>: μ ≤ 3.50, H<sub>A</sub>: μ > 3.50 B)  H<sub>0</sub>:   ≤ 3.50, H<sub>A</sub>:   > 3.50 C)  H<sub>0</sub>: μ ≥ 3.50, H<sub>A</sub>: μ < 3.50 D)  H<sub>0</sub>:   ≥ 3.50, H<sub>A</sub>:   < 3.50 ≥ 3.50, HA: A university is interested in promoting graduates of its honors program by establishing that the mean GPA of these graduates exceeds 3.50. A sample of 36 honors students is taken and is found to have a mean GPA equal to 3.60. The population standard deviation is assumed to equal 0.40. To establish whether the mean GPA exceeds 3.50, the appropriate hypotheses are ________. A)  H<sub>0</sub>: μ ≤ 3.50, H<sub>A</sub>: μ > 3.50 B)  H<sub>0</sub>:   ≤ 3.50, H<sub>A</sub>:   > 3.50 C)  H<sub>0</sub>: μ ≥ 3.50, H<sub>A</sub>: μ < 3.50 D)  H<sub>0</sub>:   ≥ 3.50, H<sub>A</sub>:   < 3.50 < 3.50

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