Final answer:
The values in the range of the function graphed below are 2 and -4.
The possible F statistics values are A (2.47), B (5.95), D (7.28), and E (0.97) because F statistics cannot be negative. They represent the ratio of variances from an F-test used in ANOVA, which are always positive.
Step-by-step explanation:
The values that are in the range of the function graphed below are:
2
-4
To determine whether a value is in the range of a function, we look at the y-values on the graph. If a y-value has a corresponding point on the graph, then it is in the range. Looking at the graph, we can see that there are points at y = 2 and y = -4, so these values are in the range of the function.
The possible F statistics values are A (2.47), B (5.95), D (7.28), and E (0.97) because F statistics cannot be negative. They represent the ratio of variances from an F-test used in ANOVA, which are always positive.
The question pertains to the possible values of F statistics. F statistics are derived from an F-test used in analysis of variance or ANOVA, which compares the variances of different groups to see if they are significantly different. One important property of F statistics is that they can never be negative, as they represent a ratio of variances, which are always positive quantities.
The correct numbers that are possible F statistics from the given options are A (2.47), B (5.95), D (7.28), and E (0.97). These are all positive numbers and hence can represent F statistics. Choice C, -3.61, is not a possible F statistic because it is a negative number and that contradicts the rule that F statistics are always non-negative.
When considering F distributions, as the degrees of freedom increase, the distribution becomes more normal. This is why, based on the histograms provided, we can determine which sample came from which population. The sample that resulted in a more normal distribution would be the one with higher degrees of freedom.