The following data are from a study of the effect of a specific mutagen on polychromatophilic erythrocytes. 9 vials of cells were haphazardly taken from a "master" cell culture. Each vial was grown with one of two doses of the CY mutagen. 4 vials were randomly assigned to the control treatment, no mutagen. The other 5 vials were grown with 80 mg/ml of the mutagen. The number of microsatellite nuclei was counted in 100 cells from each vial. The data are: # 0 dose (control): 0, 0, 0, 0 # 80 mg/ml dose: 2, 3, 5, 11, 20 . Assume that the variables are normally distributed for each of the two treatment groups. Calculate a 95% two-sided confidence interval for the population mean of each treatment group
Hello Ephraim,
By chance, is this a class assignment problem? The 95% CI is pretty straightforward for the 5-vial batch, but will be more challenging for the 4-vial batch, since the variance = 0.
Here's a link that you may find helpful: ttps://sphweb.bumc.bu.edu/otlt/mph-modules/bs/bs704_confidence_intervals/bs704_confidence_intervals_print.html
Good luck with your work.
Thank you @David Morse, the 5 vial batch is indeed very straightforward. But the the 4 vial batch got me thinking since the variance is 0. I checked the link and it was very helpful.
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