A drug to reduce fever was given to a random saple of 8 patients who suffered from high fever. The tempertaure (in celsius) of each patient was measured just before the drug was administered and also measured four hours after the drug was administered. The data is presented in table below. Suppose we want to test at the 1% level of significance whether the drug is effective in lowering fever. Let μ1 denote the mean tempertaure of patients before taking the drug and let μ2 denote the mean temperature of patient four hours after taking the drug . Also let μD=μ1 - μ2. ASSUMING ALL assumption of this test are satisfied Patient 1 2 3 4 5 6 7 8 Before 39.2 38.5 39.7 40.2 38.6 40.4 39.8 39.9 After 40 37.9 39.8 37 38.9 39.1 40.2 37.8 a) what is the null and alternative hypothesis and level of signiifcance for this hypothesis test? b) What is the distribution of the test statisitic for this hypothesis test? c) What is the decision rule for this hypothesis test?
A drug to reduce fever was given to a random saple of 8 patients who suffered from high fever. The tempertaure (in celsius) of each patient was measured just before the drug was administered and also measured four hours after the drug was administered. The data is presented in table below. Suppose we want to test at the 1% level of significance whether the drug is effective in lowering fever. Let μ1 denote the mean tempertaure of patients before taking the drug and let μ2 denote the mean temperature of patient four hours after taking the drug . Also let μD=μ1 - μ2. ASSUMING ALL assumption of this test are satisfied
| Patient | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
| Before | 39.2 | 38.5 | 39.7 | 40.2 | 38.6 | 40.4 | 39.8 | 39.9 |
| After | 40 | 37.9 | 39.8 | 37 | 38.9 | 39.1 | 40.2 | 37.8 |
a) what is the null and alternative hypothesis and level of signiifcance for this hypothesis test?
b) What is the distribution of the test statisitic for this hypothesis test?
c) What is the decision rule for this hypothesis test?
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