Aresearcher tests the effect of environmental condition on task performance. she uses a between subjects design and has participants complete a series of math problems under different temperatures (cold, warm, hot) and noise conditions (quiet, noisy). the number of correct problems for each participant is recorded. the most appropriate test to analyze the data would be a(n)

F test

Step-by-step explanation:

For any test using the F-distribution, a "F Test" is a capture-all word. In certain circumstances, as individuals speak about the F-Test, it is the F-Test to compare two variances that they actually talk about.

Moreover, in a multitude of tests, the f-statistics is used such as regression analysis, the Chow test and the Scheffe test (a post-hoc ANOVA test).

One should be using Excel, SPSS, Minitab or some other form of software to run the experiment if you are running a F test.

Steps include.

State the hypothesis of nullity and the counter hypothesis.Determine the value of F. The F value is determined using equation F = (SSE1 – SSE2/m)/SSE2/n-k, where SSE = square residual, m = number of constraints, and k = number of independent variables.Find the statistics for F (the critical value for the test). The F statistical formula is: F Statistics = group mean / mean variance of variances within the group.  The F Statistics can be found in the F-Table.  The Null Hypothesis is accepted or denied.

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.