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alukav5142 [94]
2 years ago
12

The mean GPA for 127 residents of the local apartment complex is 1.6. What is the best point estimate for the mean GPA for all r

esidents of the local apartment complex
Mathematics
1 answer:
madam [21]2 years ago
4 0

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

The Central Limit Theorem established that, for a normally distributed random variable X, with mean and standard deviation, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean  and standard deviation ;

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The sample of 112 residents has a mean GPA of 1.7.

By the Central Limit Theorem, the best point estimate for the mean GPA for all residents of the local apartment complex is 1.7.

Learn more about Mean:

brainly.com/question/4313883

#SPJ4

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Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such
Harman [31]

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The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> <u>0.6-0.45)</u>

                                              √0.45*0.55/600

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Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

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Now, P(P>0.6)=P(<u>P-P</u>   >     <u>0.6-0.45)</u>

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=P(Z> <u>0.6-0.45)</u>

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