A Researcher Believes a New Diet Should Improve Weight Gain

question 11

Multiple Choice

A researcher believes a new diet should improve weight gain. To test his hypothesis a random sample of 10 people on the old diet and an independent random sample of 10 people on the new diet were selected. The selected people on the old diet gain an average of 5 pounds with a standard deviation of 2 pounds, while the average gain for selected people on the new diet was 8 pounds with a standard deviation of 1.5 pounds. Assume that the values are normally distributed in each population and that the population variances are approximately equal. Using = 0.05, the critical t value used from the table for this is ___.

• A) -1.96
• B) -1.645
• C) -2.100
• D) -3.79
• E) -1.734

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Definitions:

Dependent Variable

The variable in an experiment or study that is expected to change in response to changes in the independent variable.

Regression Model

A statistical technique used to predict the value of a dependent variable based on one or more independent variables.

Intercept Term

A constant in a regression model that represents the value of the dependent variable when all independent variables are zero.

Statistically Significant

A term indicating that an observed effect in a study is unlikely to have occurred due to chance alone, according to a predetermined threshold for significance.