It is generally agreed that a certain standard treatment yields a mean survival period of 4.2 years for cancer patient. A new treatment is administered to 60 patients and their duration of survival is recorded. The sample mean and standard deviation of the duration is 4.5 years and 0.8 years, respectively. The rejection region at significance level 0.01 is closest to
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- Null hypothesis (H0): The mean survival period for the new treatment is equal to the standard treatment, i.e., μ = 4.2 years. - Alternative hypothesis (H1): The mean survival period for the new treatment is greater than the standard treatment, i.e., μ > 4.2 Show more…
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In the past, it is generally agreed that a certain standard treatment yields a mean survival period of 4.2 years for certain cancer patients. Recently, a new treatment is administered to 36 patients and their duration of survival is recorded. The sample mean and standard deviation of the duration is 4.5 years and 0.8 years, respectively. (a) Set up the null and alternative hypotheses to test whether the new treatment increases the mean survival period. (b) Propose a test statistic and calculate its value.
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It is generally agreed that a certain standard treatment yields a mean survival period of 4.2 years for cancer patients. A new treatment is administered to 60 patients and their duration of survival is recorded. The sample mean and standard deviation of the duration are 4.5 years and 0.8 years, respectively. Find the P-value for the test and state your conclusion at α = 0.01. Consider testing H0: μ = 12 vs H1: μ ≠ 12.
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