In: Statistics and Probability
Scientists are now able to reprogram adult, fully differentiated cells into more naive cells with the capacity to differentiate into multiple cell types called induced pluripotent stem cells (IPSCs). There are four markers that become expressed when the cell transitions from terminally differentiated to an IPSC: Oct4, Sox2, Klf4 and c-Myc. The average expression level of Oct4 (sample mean) is 162 normalized copies (extra info: normalized to another gene—GADPH). The sample standard deviation is 22 normalized copies. The sample number is 32 dishes. In each problem, place the finding in the context of the problem.
What is the 95% CI for the true expression of Oct4 in iPSCs
What is the 95% CI for the true expression of Oct4 in iPSCs if the sample size is 9,264 dishes?
Assuming a z-distribution, what
percent of iPSCs express higher than to
150 normalized copies of Oct4?