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sveticcg [70]
3 years ago
14

A school surveyed its

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

Answer:

12.5%

Step-by-step explanation:

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Step-by-step explanation:

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In a large lecture course, the scores on the final examination followed the normal curve closely. The average score was 60 point
Anna35 [415]

Answer:

The value is  \sigma = 31.35

Step-by-step explanation:

From the question we are told that

    The  average score is  \mu =  60

Generally the probability that  \frac{1}{4}  = 0.25  of the class score is between 50 and 70 points is mathematically represented as

    P(50 <  X <  70)= P(\frac{50 - 60 }{\sigma } <  \frac{X - \mu }{\sigma} < \frac{70 - 60}{\sigma }   ) = 0.25

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

So

       P(50 <  X <  70)= P(\frac{-10 }{\sigma } < Z < \frac{10}{\sigma }   ) = 0.25

=>   P(50 <  X <  70)= P(Z < \frac{10 }{\sigma }) -(Z < \frac{-10}{\sigma }  )= 0.25

=>  P(50 <  X <  70)= 2P(Z < \frac{10 }{\sigma }) = 0.25

From the normal distribution table the critical value of  0.25 for a two tailed test is z= 0.318

So

      \frac{10}{\sigma } =  0.319

=>  \sigma = 31.35

   

8 0
3 years ago
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