A sample of 37 students enroll in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE). The participants take a mock GRE test before the program begins and again at the end to measure their improvement The mean number of points improved wa $\bar { x } = 19$. Assume the standard deviation is $\sigma = 58$ and let $\mu$ be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses $H _ { 0 } : \mu = 0$ versus $H _ { 1 } : \mu 0$.
i). Compute the value of the test statistic.
ii). Compute the $P$-value.
iii). Do you reject $H _ { 0 }$ at the $\alpha = 0.05$ level?

Question

A sample of 37 students enroll in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE). The participants take a mock GRE test before the program begins and again at the end to measure their improvement The mean number of points improved wa $\bar { x } = 19$. Assume the standard deviation is $\sigma = 58$ and let $\mu$ be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses $H _ { 0 } : \mu = 0$ versus $H _ { 1 } : \mu > 0$.
i). Compute the value of the test statistic.
ii). Compute the $P$-value.
iii). Do you reject $H _ { 0 }$ at the $\alpha = 0.05$ level?

Quizplus · Accepted Answer

The Answer of A sample of 37 students enroll in a program that claims to improve scores on the quantitative reasoning portion of the Graduate Record Examination (GRE). The participants take a mock GRE test before the program begins and again at the end to measure their improvement The mean number of points improved wa $\bar { x } = 19$. Assume the standard deviation is $\sigma = 58$ and let $\mu$ be the population mean number of points improved. To determine whether the program is effective, a test is made of the hypotheses $H _ { 0 } : \mu = 0$ versus $H _ { 1 } : \mu > 0$.
i). Compute the value of the test statistic.
ii). Compute the $P$-value.
iii). Do you reject $H _ { 0 }$ at the $\alpha = 0.05$ level?

A Sample of 37 Students Enroll in a Program That xˉ=19\bar { x } = 19xˉ=19

A Sample of 37 Students Enroll in a Program That $\bar { x } = 19$