A sample of 60 ball bearings are tested for roundness. Of the ball bearings tested, 15 of them are round enough to pass inspection. The probability of a ball bearing being round enough to pass inspection in the population is 0.25. What is the sample proportion of the ball bearings? What is the sample standard deviation of the ball bearings sample? The sample proportion has a sampling distribution that can be approximated by a normal distribution if which of the following requirements are met? (May be more than 1) -The sample proportion is obtained using a random sample. -The conditions of a binomial distribution are met. -The conditions of a geometric distribution are met. -The sample is large enough so that np>=5 and n(1-p)>=5   (I was told we were only allowed 3 subquestions to 1 problem so rest will be seperate)

MATLAB: An Introduction with Applications
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A sample of 60 ball bearings are tested for roundness. Of the ball bearings tested, 15 of them are round enough to pass inspection. The probability of a ball bearing being round enough to pass inspection in the population is 0.25.

What is the sample proportion of the ball bearings?

What is the sample standard deviation of the ball bearings sample?

The sample proportion has a sampling distribution that can be approximated by a normal distribution if which of the following requirements are met? (May be more than 1)

-The sample proportion is obtained using a random sample.

-The conditions of a binomial distribution are met.

-The conditions of a geometric distribution are met.

-The sample is large enough so that np>=5 and n(1-p)>=5

 

(I was told we were only allowed 3 subquestions to 1 problem so rest will be seperate)

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