The director of an obesity clinic in a large northwestern city believes that drinking soft drinks contribute to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following pilot study. Eight- 12-year-old male volunteers are randomly selected from children attending a local junior high school. Parents of the children are asked to monitor the number of soft drinks consumed by their child over a one week period. The children are weighed at the end of the week and their weights converted into body mass index (BMI) values. The BMI is a common index used to measure obesity and takes into account both height and weight. An individual is considered obese if they have a BMI value 30. The following data or collected: child. # of soft drinks consumed BMI 1 3 20 2 1 18 3 14 32 4 7 24 5 21 35 6 5 19 7 25 38 8 9 30 what is the the alternative and null hypotheses? what is the mean and standard deviation for each group? what is the result and conclusion? clear indication of the hypothesis test being conducted and statistic?

Name: The director of an obesity clinic in a large northwestern city believe
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Description: The director of an obesity clinic in a large northwestern city believes that drinking soft drinks contribute to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following pilot study. Eight

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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The director of an obesity clinic in a large northwestern city believes that drinking soft drinks contribute to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following pilot study. Eight- 12-year-old male volunteers are randomly selected from children attending a local junior high school. Parents of the children are asked to monitor the number of soft drinks consumed by their child over a one week period. The children are weighed at the end of the week and their weights converted into body mass index (BMI) values. The BMI is a common index used to measure obesity and takes into account both height and weight. An individual is considered obese if they have a BMI value 30. The following data or collected:

child. # of soft drinks consumed BMI

1 3 20

2 1 18

3 14 32

4 7 24

5 21 35

6 5 19

7 25 38

8 9 30

what is the the alternative and null hypotheses?
what is the mean and standard deviation for each group?

what is the result and conclusion?

clear indication of the hypothesis test being conducted and statistic?

Expert Solution

Step 1

Use the given data to form excel table:

	X	Y	X*Y	X*X	Y*Y
	3	20	60	9	400
	1	18	18	1	324
	14	32	448	196	1024
	7	24	168	49	576
	21	35	735	441	1225
	5	19	95	25	361
	25	38	950	625	1444
	9	30	270	81	900
Sum	85	216	2744	1427	6254
Average	10.625	27
S.D	8.6510	7.7644

$\begin{array}{rcl} Mean (X) & = & \frac{\sum x}{n} \\ = & \frac{85}{8} \\ = & 10.625 \end{array}$

$\begin{array}{rcl} Mean (Y) & = & \frac{\sum y}{n} \\ = & \frac{216}{8} \\ = & 27 \end{array}$

$\begin{array}{rcl} S . D (X) & = & \sqrt{\frac{{(x - \bar{x})}^{2}}{n - 1}} \\ = & 8.6510 \end{array}$

$\begin{array}{rcl} S . D (Y) & = & \sqrt{\frac{{(y - \bar{y})}^{2}}{n - 1}} \\ = & 7.7644 \end{array}$

The correlation for the given data is given as:

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