What is the correlation between cholesterol levels and the risk of suffering a heart attack?

/in /by

Scenario 5:

The data in the following table show the relationship of cholesterol level in men to the risk of a heart attack. The data are summarized in the table below.

  • What is the slope and intercept of the regression line?

Answer: ___________

  • What type of statistical test would you use to determine if there is an association between cholesterol levels and the risk of a heart attack?

A     Multiple linear Regression
B     ANOVA
C     Pearson Product-Moment Correlation Coefficient
D     Spearman Rank Correlation Coefficient

Answer:  ___________

  • Is the correlation positive or negative?
    Answer: ___________
  • What is the correlation between cholesterol levels and the risk of suffering a heart attack?

Answer: ___________

  • What is the coefficient of determination for the value in the previous question? Round to the thousandths place.

Answer: ___________

Do you accept or reject the null hypothesis that there is no relationship between BMI and the ratio of good bacteria in the digestive tract at the significance level P=0.05? Please paste your data output file in the space below.

/in /by

Scenario 4:
Have you noticed the abundance of television ads for yogurt that contain probiotics? Probiotics are live micro-organisms which, when administered in adequate amounts, confer a health benefit on the host. Your body needs to have a healthy amount of ”good” bacteria in the digestive tract. Many yogurts are made using active, good bacteria. A diabetes researcher hypothesized that ratio good bacteria in the digestive tract would be decreased in people that are overweight. The results are summarized in the table below.

  • What type of statistical test would you use to determine if there is an association between the ratio of good bacteria and BMI?
  1. Multiple linear Regression
  2. ANOVA
  3. Pearson Product-Moment Correlation Coefficient
  4. Spearman Rank Correlation Coefficient

Answer:  ___________

  • Do you accept or reject the null hypothesis that there is no relationship between BMI and the ratio of good bacteria in the digestive tract at the significance level P=0.05? Please paste your data output file in the space below.

Answer: ___________

What is the correlation coefficient?

/in /by

Scenario 3.
An insurance company is interested in determining if the severity of a burn increases the length of hospitalization for burn patients. Their data is summarized in the table below.

Patient #Burn Severity
(Percent of body burnt x the degree of burn)		Burn
Rank		Length of Hospital Stay (hours)Hospital Stay
Rank
11.33174.12
21.25274.21
31.22373.53
41.11472.54
51.1572.15
60.996586
70.957567
80.888488
90.8938.19
100.71032.210
110.561128.211
120.4122512
130.351324.513
140.321424.614
150.3152415
  • What statistical test would be appropriate to establish a relationship between burn severity [Burn degree (1stdegree, 2nd degree, and 3rd degree) x percent of body burned] and the duration of hospitalization expressed by the number of days?

A     Pearson Product-Moment Correlation coefficient

B     Multiple Regression

C     ANOVA

D     Spearman Rank Correlation coefficient.
Answer:  ___________

  • What is the correlation coefficient?
    Answer: ____________
    Please paste your data output file in the space below.
  • Is the correlation positive or negative?
    Answer: ___________

What is the null hypothesis equation for this experiment?

/in /by

To determine the effectiveness of a new anti-hypothyroid drug, circulating thyroid stimulating hormone (TSH) levels were measured in 20 men (with hypothyroid levels) and compared to 20 men (with hypothyroid levels) that received current standard therapy as control. The data are summarized in the table below.

  1. What is the null hypothesis equation for this experiment? Answer: ___________
  2. Based on the statistical test that you chose, do you accept or reject the null hypothesis at P=0.05?

Answer: ___________

  1. What is the 95% confidence intervals for this 2 sample t-test?

Answer: ___________

  1. What is the difference of Means?

Answer: ___________

  1. What is the expected standard deviation (s) within groups?
    s = Round to the thousandths place.

Answer: ___________

  1. What is the Power of this test? Please paste your data output file in the area below.
    Answer: ___________
  1. Assuming that the difference of means and expected standard deviation within groups remain the same, how many samples are needed to achieve a power of 0.80? Alpha=0.05.

Answer: ___________