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andrezito [222]
3 years ago
14

Thirty percent of the fifth grade students in a large school district read below grade level. The distribution of sample proport

ions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?
Mathematics
1 answer:
fredd [130]3 years ago
7 0

Answer: 0.9088  

Step-by-step explanation:

Given : \mu=0.30

\sigma=0.045  

Let x be a random available that represents the proportion of students that reads below grade level .

Using z=\dfrac{x-\mu}{\sigma , for x= 0.36 , we have

z=\dfrac{0.36-0.30}{0.045}=1.33333

Using standard normal z-value table,

P-value = P(

P(z [Rounded yo the nearest 4 decimal places.]

Hence, the probability that a second sample would be selected with a proportion less than 0.36 = 0.9088  

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