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Hello Dear Sir, I need help with following questions: 1- Assume that adults have IQ scores that are normally distributed with mean 100 and standard

Hello Dear Sir,

I need help with following questions:

1- Assume that adults have IQ scores that are normally distributed with mean 100 and standard deviation 15.Find the probability of the given SAT scores. ROUND YOUR ANSWERS TO 4 DECIMAL PLACES.

Find the probability of selecting a subject whose score is between 95 & 105.____________.

2- Find the indicated IQ scores given the Area = 0.9374 . The graph depicts normally distributed IQ scores with mean 100 and standard deviation 15.ROUND YOUR ANSWERS TO NEAREST WHOLE NUMBER.

x =____________

3- Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325.

ROUND YOUR ANSWERS TO 4 DECIMAL PLACES.

If 16 SAT scores are randomly selected, find the probability that they have a mean less than 1525.___________.

4- Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325.

ROUND YOUR ANSWERS TO 4 DECIMAL PLACES.

If 36 SAT scores are randomly selected, find the probability that they have a mean between 1501 and 1535.___________.

5- In a study of 1178 randomly selected medical malpractice lawsuits, it is found that 913 of them were later dropped or dismissed. Construct a 99% confidence interval for the proportion of medical malpractice lawsuits that are dropped of dismissed.

Please enterthe lower limitonly in the answer boxROUND TO 3 DECIMAL PLACES.

Hint: If you confidence interval is (0.123, 0.456) then the lower limit is 0.123.

6- You plan to conduct a survey to estimate the percentage of people who eat breakfast.Find the number of people who must be surveyed if you want to be 95% confident that the sample percentage is within three percentage points of the true population percentage. (For 95% confidence level use critical value 1.96).

Assume that nothing is known about the percentage to be estimated.(so p-hat is unknown)

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