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In: Statistics and Probability

Consider the levels of GHB for control patients and patients under treatment: control: 0.7, 0.5, 0.6,...

Consider the levels of GHB for control patients and patients under treatment:

control:

0.7, 0.5, 0.6, 0.8, 0.8, 1.1, 0.5, 0.4, 0.6, 0.7, 0.5, 1.0, 1.5, 1.4, 0.7, 0.9, 0.6, 0.8, 0.9, 1.0, 0.7, 0.7, 0.7, 0.8, 1.0, 0.6, 1.2, 0.7, 0.9, 0.9

treatment:

0.7, 0.8, 0.7, 0.6, 1.0, 0.9, 1.4, 1.4, 1.0, 0.8, 0.6, 1.3, 0.4, 0.5, 0.9, 1.0, 1.0, 0.5, 0.7, 1.0, 1.2, 1.3, 0.6, 1.0, 0.8, 1.4, 0.8, 1.0, 1.3, 1.4

a. Do a 95% hypothesis test to test if:

(H0) the mean CONTROL level is greater than 0.89 vs. (Ha) he mean CONTROL level is less than 0.89.

Report the p-value:

Reject Null hypothesis at the 95% level of confidence?

yes OR no    

b. Do a 95% hypothesis test to test if:

(H0) the mean of the CONTROL is equal to the mean of the TREATMENT vs. (Ha) the mean of the CONTROL is not equal to the mean of the TREATMENT.

Report the p-value:

Reject Null hypothesis at the 95% level of confidence?

yes OR no    

c. Do a 95% hypothesis test to test if:

(H0) the mean of the CONTROL is less than the mean of the TREATMENT vs. (Ha) the mean of the CONTROL is greater than the mean of the TREATMENT (Ha).

Report the p-value: .

Reject Null hypothesis at the 95% level of confidence?

yes OR no    

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