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Wittaler [7]
3 years ago
14

300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard

deviation of 4. How many students scored above a 24?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

Answer:

150 students

Step-by-step explanation:

According to statement we have the following information

number of juniors=n=300

mean score=24

standard deviation score=4

The number of students that score above 24 is determined by

Number of students score above 24=number of juniors* P(student score above 24)

P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.

Students score above 24=np=300*0.5=150

Hence there are 150 students scored above 24.

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3 years ago
The quality control manager of a light bulb factory needs to estimate the average life of a large shipment of light bulbs. The p
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Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given sample size 'n' = 64</em>

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<em>95% of confidence interval is determined by</em>

(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )

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