Answer:
False
Explanation:
Let's analyze each statement:
1. Degrees of Freedom is a measure of center:
False. Degrees of Freedom is not a measure of center. In statistics, degrees of freedom refers to the number of values in a calculation that are free to vary. It determines the number of independent pieces of information available to calculate certain statistics or perform hypothesis tests.
2. T test statistic depends on the alpha level:
False. The T test statistic is calculated based on sample data and the hypotheses being tested, not on the alpha level. The alpha level is the predefined significance level chosen by the researcher to determine the threshold for rejecting or failing to reject a null hypothesis.
3. T critical value is always positive:
False. The T critical value depends on the desired level of significance (alpha level) and the degrees of freedom. It can be positive or negative, depending on whether testing a one-tailed or two-tailed hypothesis.
4. P-value can range between -1 and 1:
False. The p-value is a measure of the strength of evidence against the null hypothesis. It represents the probability of obtaining the observed data or more extreme results if the null hypothesis is true. The p-value always falls between 0 and 1, with values close to 0 indicating strong evidence against the null hypothesis.
5. If the correlation is statistically insignificant, a regression model should be found to predict y:
False. If the correlation is statistically insignificant, it means that there is not enough evidence to establish a linear relationship between the variables. In this case, it does not necessarily imply that a regression model should be found to predict y. Other factors should also be considered, such as the research question, the nature of the data, and the context of the study.