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sergejj [24]
2 years ago
15

IQ scores are normally distributed with a mean of 100 and a

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
7 0

Answer:

33.2%

Step-by-step explanation:

Calculate the z-scores.

z = (x − μ) / σ

z₁ = (82 − 100) / 15

z₁ = -1.2

z₂ = (98 − 100) / 15

z₂ = -0.133

Use a chart or calculate to find the probability.

P(-1.2 < Z < -0.133) = P(Z < -0.133) − P(Z < -1.2)

P(-1.2 < Z < -0.133) = 0.4470 − 0.1151

P(-1.2 < Z < -0.133) = 0.3319

Rounded to the nearest tenth, the percentage is 33.2%.

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Step-by-step explanation:

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Answer:

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }  

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

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Given data

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<u><em>Step(ii):-</em></u>

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<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }<em></em>

<em>              </em>t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }<em></em>

<em>            t =  1.076</em>

<em>Critical value </em>

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<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>

<em></em>

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