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Please explain how to get this result, and show all work/calculations. Thanks! F

ID: 3222550 • Letter: P

Question

Please explain how to get this result, and show all work/calculations. Thanks!

Forkhead box protein P2 (FOXP2) is a protein that, in humans, is encoded by the FOXP2 gene. This gene is expressed at a different level in different tissue types. Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression in 10 different samples of lung tissue, and obtains these data: The scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,765. Calculate the Z-score associated with a test to see if the average expression of FOXP in her lung tissue samples is different from the levels she measured from brain tissue, (answer to 3 decimals)

Explanation / Answer

Data:   

n = 10

= 6765

s = 1777

x-bar = 2425.6

Hypotheses:

Ho: = 6765

Ha: 6765

Decision Rule:

= 0.05

Lower Critical z- score = -1.959963985

Upper Critical z- score = 1.959963985

Reject Ho if |z| > 1.959963985

Test Statistic:

SE = s/n = 1777/10 = 561.9367402

z = (x-bar - )/SE = (2425.6 - 6765)/561.936740211921 = -7.722