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1. (25pts) Obesity in children is a major concern because it puts them at risk for several serious medical problems. Some researchers believe that a

1. (25pts) Obesity in children is a major concern because it puts them at risk for several serious medical problems. Some researchers believe that a major issue related to this is that children these days spend too much time watching television and not enough time being active. Based on a sample of boys of roughly the same age and height, data were collected regarding hours of television watched per day and weight. A correlation coefficient is 0.98. Please test whether the correlation is statistically significant by answering the following questions.

Tv watching Weight

(Hr) (lb)

1.5 79

5.0 105

3.5 96

2.5 83

4.0 99

1.0 78

0.5 68

a) (2pts)What is unit of analysis in this dataset?

b) (4pts) State the null and research hypotheses.

c) (3pts) Which test should you use ? (Two Sample Independent t, ANOVA, Chi-square, or Correlation)?

d) (6 pts) Compute the appropriate test statistic (Note: please show all your work as much as you can)

e) (5pts) Please make a decision whether the null hypothesis is rejected when = .05 and one tailed test. Please include critical statistics from the correct distribution chart (e.g., Z distribution, T distribution, F distribution, or Chi-square distribution)

f) (5pts) Provide an interpretation with overall sentence about the conclusion reached

2. (12pts) You are working at the Behavioral Health Center in Kingsville, documenting the number of visits per year for each client. The mean is 16.5 visits per year and the standard deviation is 4.2.

(a) (4pts) What percent of people have greater than 20 visits per year?

(b) (4pts) Kendall visited the clinic 12 times. What percentile is she?

(c) (4pts) Your son visited the clinic last year. His number of visits was 3 standard deviations below the mean. How many times did he visit the clinic?

3. (20pt) Students in a large lecture class want to know if females have more Facebook friends than males do.

Sample size Mean Standard Deviation

Male 68 678.9 317.6

Female 91 616.1 330.6

a) (2pts) Which is the independent variable and which is the dependent variable?

b) (2pts) State the null and research hypotheses (Note: please make sure if it is an one-tailed or two-tailed test)

c) (3pts) Which test should you use ? (Two Sample Independent t, ANOVA, Chi-square, or Correlation)?

d) (6 pts) Compute the appropriate test statistic (Note: please show all your work as much as you can)

e) (4pts) Please make a decision whether the null hypothesis is rejected when = .05 and one tailed test. Please include critical statistics from the correct distribution chart (e.g., Z distribution, T distribution, F distribution, or Chi-square distribution)

f) (3pts) Provide an interpretation with overall sentence about the conclusion reached

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