-1 points Baldistat3 15 E 024 My Notes Ask Your Teacher The most important condi
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-1 points Baldistat3 15 E 024 My Notes Ask Your Teacher The most important condition for sound conclusions from statistical inference is usually which of the following? that no calculation errors are made in the confidence interval or test statistic that the data can be thought of as a random sample from the population of interest that the population distribution is exactly Normal -16 points My Notes Ask Your Teacher A new treatment for advanced melanoma involves genetically engineering white blood cells to better recognize and destroy cancer cells, then infusing these cells into patients. The subjects in a small initial study were 11 patients whose melanoma had not responded to existing treatments. A test is run for the presence of cells that trigger an immune response in the body and so may help fight cancer. The table below gives the counts of active cells per 100,000 cells before and after infusion for 11 subjects. The difference (after minus before) is the response variable. Before 140 20 After 41 7 1 215 20 700 13 530 35 92. 108 Difference 27 7 0 215 20 700 13 510 34 86 108 Do the data give convincing evidence that the count of active cells is higher after treatment? Use a 0.05.) Use 4 decimal places in your responses. Ho: Hd Hai ud P-value Conclusion Reject Ho. There is no evidence that the count of active cells is higher after treatment. Reject Ho. There is evidence that the count of active cells is higher after treatment. Fail to reject Ho. There is no evidence that the count of active cells is higher after treatment. Fail to reject Ho. There is evidence that the count of active cells is higher after treatment.Explanation / Answer
Solution:
1. b) that the data can be thought of as a random sample from the population of interest.
3. b) Confidence levels and P-values from the t procedures are quite accurate even if t population distribution is not exactly Normal.
5. b) H0: w = nw
Ha: w nw
6. e) xw-xnw
7. the test statistic is:
t = x1-x2/sqrt(s1^2/n1 + s2^2/n2)
substitute the values to get the following:
Of the 124 whites, the mean life span was 45.3 years with a standard deviation of 12.7 years. Of the 82 nonwhites, the mean life span was 34.1 years with a standard deviation of 15.6 years.t= x1-x2/sqrt(s1^2/n1 + s2^2/n2)
= 45.3-34.1/sqrt(12.7^2/124+15.6^2/82)
= 5.4209
use t table to calculate the p value is: 0.0000
8. d) No, the means appear to be different because the hypothesis test has a p-value less than 0.05
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