(7)Use the information in the following setting to answer questions a and b. Researchers are interested in determining if a weight loss drug is effective. 17 people were selected to participate in the study. Their initial weights were recorded and after 6 weeks, they were weighted once again. Descriptive statistics for the difference in weight (in pounds) are given in Output 1 below, where the difference was recorded as initial weight – weight after 6 weeks. Output 1: Descriptive Statistics (difference) Variable N Mean SE mean StDev Difference 17 3.353 1.105 4.554 Using a 0.05 significance level, perform a hypothesis test to see if the weight loss drug is effective. Suppose the weight loss drug will only go to market if it provides, on average, weight loss of a t least 3 pounds. What hypothesis would the researchers need to test in this case? (just state the hypothesis, no testing steps)
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
(7)Use the information in the following setting to answer questions a and b.
Researchers are interested in determining if a weight loss drug is effective. 17 people were selected to participate in the study. Their initial weights were recorded and after 6 weeks, they were weighted once again.
Output 1:
|
Descriptive Statistics (difference) |
||||
|
Variable |
N |
Mean |
SE mean |
StDev |
|
Difference |
17 |
3.353 |
1.105 |
4.554 |
- Using a 0.05 significance level, perform a hypothesis test to see if the weight loss drug is effective.
- Suppose the weight loss drug will only go to market if it provides, on average, weight loss of a t least 3 pounds. What hypothesis would the researchers need to test in this case? (just state the hypothesis, no testing steps)
(8)P(A) = 0.3, P(B) = 0.6, P(A and B) = 0.1
- P(A or B) = ?
- P(A|B) = ?
- P(B|A) = ?
- Are
event A and B are independent?
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