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A doctor wants to determine the relation that might exist between a child's height and head circumference. She randomly selects 11 three-year-old children and measures their height and head circumference and obtains the data.
Height (inches) Head Circumference27.75 17.524.5 17.125.5 17.126 17.325 16.927.75 17.626.5 17.327 17.526.75 17.326.75 17.527.5 17.5
If the doctor wants to use height to predict head circumference run a linear regression on the data.
a) Find the r-value and comment about it.b) Is the r-value significant at 99%?C) Write the equation for the best-fit lie.d) If height was 24, what would be the head circumference?e) Make a general statement about the results.
Explain the effect that changes in η and β have on the shape of the Weibull density and the effect that they have on γ3 and derive an expression for the coefficient of skewness for the Weibull distribution.
Develop a scatter diagram for the data and write a brief summary.
A polling company obtains an alphabetical list of names of voters in a precinct. They select every 20th person from the list until a sample of 100 is obtained.
A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students:
In a sample of 1,000 representing a survey from the entire population, 650 people were from Laketown, and the rest of the people were from River City.
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are between 40 and 48 cm in length?
The 90 percent confidence interval for the population mean is to (Round your answers to 3 decimal places.) Would it be reasonable to conclude that the population mean is 22 eggs? What about 24 eggs?
The results of a calculus exam are normally distributed with a mean of 76 and a standard deviation of 6. Find the percentage of students that scored above 70.
The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0. Assume 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 71.
Assume you are the manager of a paint manufacturing factory. Your company has received complaints from customers that the containers hold less than the amount printed on them.
Does thus data support the researchers' hypothesis? Test the relevant hypothesis using a = .1 by first calculating a p-value.
Use population distribution to determine expected juror frequencies. Test researcher's claim at a = 0.01.
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