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mandilynn22
04.11.2020 •
Mathematics
A bottle maker believes that 11% of his bottles are defective. If the bottle maker is right, what is the probability that the proportion of defective bottles in a sample of 529529 bottles would be less than 9%9%
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Ответ:
The value is![P( X < 0.09) = 0.070781](/tpl/images/0866/6824/95c63.png)
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.11
The sample size is n = 529
Generally given that the sample size is large enough (i.e n > 30), then the mean of this sampling distribution is mathematically represented as
Generally the standard deviation of this sampling distribution is
=>![\sigma = \sqrt{ \frac{ 0.11 (1 - 0.11 )}{529} }](/tpl/images/0866/6824/d83b5.png)
=>![\sigma = 0.01360](/tpl/images/0866/6824/bb32c.png)
Generally the probability that the proportion of defective bottles in a sample of 529 bottles would be less than 9% (0.09) is mathematically represented as
Generally from the z table the area under the normal curve to the left corresponding to -1.47 is
So
Ответ:
97
Step-by-step explanation:
hope this helps :)