Calculus and Above

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1.) Suppose we wish to...

1.) Suppose we wish to estimate the mean of the property tax on houses in a certain area from a sample of 32 houses. The point estimate of the the population of houses in the area is 8688.44 Assuming the standard deviation is 3300, (A) establish a 95% confidence interval on population mean and (B) establish a 99% confidence interval on population mean.

2.) In a random sample of 106 people, the measurements of body temperature reavealed an average of 98.20 F, and the standard deviation was 062 F. Use this sample to find the best point estimate of the population mean of all body temperatures.

3.) If the standard deviation of the IQ of the population of Science professors is known to be 15 and we want to estimate the mean IQ score for the population of science professors. How many science professors must be randomly selected for IQ tests if we want confidence that the sample mean is within 2 IQ points of the population mean? Use a 95% confidence.

4.) Suppose that a random sample of 22 students was selected to evaluate their grades. the sample mean is 78% and the standard deviation is 7%. Find the 95% confidence interval for the mean grade of students assuming that student grade is approximately normally distrubuted.

5.) A metal rod manufacturer wishes to investigate the consistency in the diameter of the rods. A sample of 20 rods taken randomly revealed a sample mean of 0.30 inch with a standard deviation of 0.06 inch.

(A) construct a 95% confidence interval for the population mean.

(B) construct a 99% confidence interval for the population mean.

(C) compare the two answers and discuss

6.) For these problems, draw a sketch of the normal distrubution and find the probability of each reading:

(A) between -3.0 and -1.0

(B) less than 3.55

(C) greater than -1.75

(D) greater than 2.22

(E) less than -1.5

(F) less than 1.23

(G) between 0.50 and 1.00

(H) between -1.20 and 1.95

(I) between -2.50 and 5.00

(J) greater than 0

2.) In a random sample of 106 people, the measurements of body temperature reavealed an average of 98.20 F, and the standard deviation was 062 F. Use this sample to find the best point estimate of the population mean of all body temperatures.

3.) If the standard deviation of the IQ of the population of Science professors is known to be 15 and we want to estimate the mean IQ score for the population of science professors. How many science professors must be randomly selected for IQ tests if we want confidence that the sample mean is within 2 IQ points of the population mean? Use a 95% confidence.

4.) Suppose that a random sample of 22 students was selected to evaluate their grades. the sample mean is 78% and the standard deviation is 7%. Find the 95% confidence interval for the mean grade of students assuming that student grade is approximately normally distrubuted.

5.) A metal rod manufacturer wishes to investigate the consistency in the diameter of the rods. A sample of 20 rods taken randomly revealed a sample mean of 0.30 inch with a standard deviation of 0.06 inch.

(A) construct a 95% confidence interval for the population mean.

(B) construct a 99% confidence interval for the population mean.

(C) compare the two answers and discuss

6.) For these problems, draw a sketch of the normal distrubution and find the probability of each reading:

(A) between -3.0 and -1.0

(B) less than 3.55

(C) greater than -1.75

(D) greater than 2.22

(E) less than -1.5

(F) less than 1.23

(G) between 0.50 and 1.00

(H) between -1.20 and 1.95

(I) between -2.50 and 5.00

(J) greater than 0

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