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Using a sequencing method called "RNAseq," a researcher determines the level of FOXP2 expression

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The Z-score is 2.306 to three decimal places. However, the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis [tex]\mathbf{H_o}[/tex]

What is the Z-score of a test statistic?

A z-score is a measurement of how often standard deviations the score obtained from a z-test is beyond or under the mean population.

From the given data information, let us find the mean and the standard deviation.

[tex]\mathbf{Mean (\bar x) = \dfrac{1154+5998+1007+...3987+4187+887}{10}}[/tex]

[tex]\mathbf{Mean (\bar x) = \dfrac{24256}{10}}[/tex]

Mean (x) = 2425.6

The hypothesis testing can be computed as:

[tex]\mathbf{H_o: \mu = 2425.6}[/tex]

[tex]\mathbf{H_1: \mu \ne 2425.6}[/tex]

The standard deviation (σ) is:

[tex]\mathbf{=\mathbf{ \sqrt{\dfrac{(1154-2425.6)^2+....+(887-2425.6)^2}{10-1}}}}[/tex]

[tex]\mathbf{= \sqrt{3199489}}[/tex]

= 1788.71

Now, the Z-test statistic is determined using the formula:

[tex]\mathbf{|Z| = |\dfrac{\bar x - \mu }{\sigma}| }[/tex]

[tex]\mathbf{|Z| = |\dfrac{2425.6 -6550 }{1788.71}| }[/tex]

[tex]\mathbf{|Z| = |-2.3058| }[/tex]

Z ≅ 2.306  

Therefore, at a 0.05 level of significance, the Z-critical value is 2.306. However, since the Z-test statistic value shows that it is greater than the Z-critical value, so we reject the null hypothesis [tex]\mathbf{H_o}[/tex]

The complete question is given as:

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:

  • 1154 5998 1007 2501 1000 988 2547 3987 4187 887

Scientist has previously determined that FOXP2 is expressed in brain tissue at a level of 6,550. 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.

Learn more about calculating the Z-score of a test statistics here:

https://brainly.com/question/15569214

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