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- A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below. Height Head Circumference 27 17.5 25 17 26.5 17.2 25.5 17 27.75 17.4 26.25 17.4 26 17.1 27.25 17.4 data table 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374…A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below. Height Head Circumference 27 17.5 25 17 26.5 17.2 25.5 17 27.75 17.4 26.25 17.4 26 17.1 27.25 17.4 data table n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 compute the linear correlation coefficient between the height and head circumference of a child. r = ____ (round to three decimal places as…A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children from her practice, measures their height and head circumference and obtains the data shown below. Height Head Circumference 27 17.5 25 17 26.5 17.2 25.5 17 27.75 17.4 26 17.1 27.25 17.4 n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 e) Convert the data to centimeters (1 inch = 2.54 cm) and recompute the linear correlation coefficient. What i effect did the…
- 2) A researcher is interested in studying if male smokers and female smokers smoke a different number of cigarettes each day. She takes a sample of 10 male smokers and 10 female smokers from a nearby motorcycle club by asking the first 10 smokers of each gender she encountered. Their results are recorded below. Male 18 25 30 16 24 32 15 27 19 15 Female 12 15 36 30 12 18 34 22 10 12 Answer the following: a. Create appropriate graph(s) that can be used to compare the samples. Using the graph(s) to explain: does it appear that the number of cigarettes smoked by each gender are different? b. To run a formal test, which test will you run and which distribution will you use? Explain why for each. Are there any concerns you have about using the results of this test? c. Write the following hypothesis in symbols: Null Hypothesis: The average number of cigarettes smoked by male and female smokers is the same. H0: ________________________…C) Yes, there appears to be a high outlier in the Meters On data D) No, there does not appear to be any outliersAlice has accumulated $260,557 in savings and wishes to invest this money sensibly. The types of investments and their corresponding percentages, recommended by a financial advisor, are shown in the following circle graph. Recommended Categories of Investment: stocks 13.73% mutual funds 51% real estate 10% annuities10% bonds 15.27% Find the amount of money that Alice should invest in stocks, mutual funds, real estate, annuities, and bonds. Round your answer to the nearest hundredth, if necessary.