Knowee
Questions
Features
Study Tools

Suppose X ~ N(5, 6). Suppose x = 12. Calculate the value of Z (2 marks). Z = (x-µ)/σ

Question

Suppose X ~ N(5, 6). Suppose x = 12. Calculate the value of Z (2 marks).

Z = x−μσ \frac{x - \mu}{\sigma}

🧐 Not the exact question you are looking for?Go ask a question

Solution

Sure, let's calculate the Z value step by step.

Step 1: Identify the given values. Here, the mean (µ) is 5, the standard deviation (σ) is the square root of the variance, so σ = sqrt(6), and x = 12.

Step 2: Substitute these values into the Z formula. The Z score formula is Z = (x - µ) / σ.

Step 3: Calculate the Z score. Substituting the given values into the formula, we get Z = (12 - 5) / sqrt(6) = 7 / sqrt(6).

Step 4: Simplify the result. This gives us approximately 2.86.

So, the Z score for x = 12 is approximately 2.86.

This problem has been solved

Similar Questions

A sample of n = 5 scores has a mean of M = 12. What is Σ X for this sample?​Group of answer choices​52=25​5/12 = 0.417​5(12) = 60​12/5 = 2.40

A population with a mean of µ = 6 has Σ X = 42. How many scores are in the population?​Group of answer choices​N=42​N = 42/6 = 7​N = 6*42 = 252​N = 6/42 = 1/7

Suppose X∼N(16.5,2) , and x=18.5 . Find and interpret the z -score of the standardized normal random variable.

If we have a dataset with mean 9 and standard deviation 6, then what is the z-score for the data point 2? (Give your answer to 1 dp)

What is the formula of the Kth percentile of X when the z-score is known?Question 1Answera.k=μ+σb.k=μ-σc.k=μ+z*σ

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.