X~N(335, 50).
Find the z-score corresponding to an observation of 284.
-1.02
6.7
1.02
-6.7

Question

X~N(335, 50).   Find the z-score corresponding to an observation of 284.  -1.02  6.7  1.02  -6.7

usaho4w · Accepted Answer

given datas  μ=335    σ=50  X=284 now we have to find Z score    so from the formula the Z score corresponding to observation X=284 is we have  Z=X−μσ=284−33550=−1.02

Lindsey Gamble · Accepted Answer

Z score in statistics is computed with formula: z=(x-μ)/σ In given scenario, x=284, μ=335, σ=50 z= (284-335)/50 = -1.02 Results shows option B is correct.

nick1337 · Accepted Answer

Thanks! Both answers are good.

Jazz Frenia · Accepted Answer

To find the z-score corresponding to an observation of 284 from a normal distribution with a mean of 335 and a standard deviation of 50, we can use the formula:

z = \frac{X - μ}{σ}

where:
-

z

is the z-score
-

X

is the observed value
-

μ

is the mean of the distribution
-

σ

is the standard deviation of the distribution
In this case, we have:
-

X = 284

-

μ = 335

-

σ = 50

Substituting these values into the formula, we get:

z = \frac{284 - 335}{50}

Calculating the numerator:

284 - 335 = - 51

Substituting the numerator and the denominator back into the formula, we have:

z = \frac{- 51}{50}

Simplifying the fraction, we get:

z = - 1.02

Therefore, the z-score corresponding to an observation of 284 is -1.02.

fudzisako · Accepted Answer

Result:−1.02Solution:z=X−μσ where X is the observed value, μ is the mean, and σ is the standard deviation. Substituting the given values into the formula:z=284−33550Simplifying the equation:z=−5150Now, let&#039;s calculate the numerical value of the z-score:z≈−1.02Therefore, the z-score corresponding to an observation of 284 is approximately −1.02.

X~N(335, 50). Find the z-score corresponding to an observation of

Answered question

Answer & Explanation

New Questions in High school statistics