Question

1. The CD4 T cell counts (x10 /I) at baseline for a sample of 13 patients follows. 230 205 313 207 227 245 173 58 103 181 105 301 169 a) (10 pts) Draw a boxplot of the data and comment on the skewness of the distribution. b) (5 pts) Determine a point estimate for the population mean CD4 T cell count. c) (10 pts) Determine a 90% confidence interval for the population mean CD4 T cell count (assume the counts are normally distributed). d) (20 pts) Suppose researchers believe the average CD4 T cell count in the population is 210 (x106 / 1) . Based on the confidence interval from part (c), at a 10% significance level, do the sample data support this belief? Perform an appropriate hypothesis test.

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50 100 150 200250300x=c (230,205, 313,207,227,245,173, 58,103,181,105,301, 169) 3 > x [1 230 205 313 207 227 245 173 58 103 181 105 301 l169 > ##ATE IAor plat shows data atf popualon man χ 186 . 6423 sid dis s 86.7202 Sample sizn 13 shaws data 143.615 V 133-6154 1-7823

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