Question

2) An undergraduate psychology student has been told that the hours she spends readying for the verbal part of the GRE (a standardized test) will likely help predict how she will do on the exam. Her advisor tells her that the more hours she spends studying, the higher her grade will probably be. To test this, her advisor has comprised information from 10 psye students in past who have also taken the GRE and submitted the amount of study hours along with their score. the Hopeful Grad Student 2 Hours of Study 10 45 33 15 3 4 5 GRE Score 280 300 287 270 270 260 337 300 6 7 8 25 20 95 65 9 10 20 30 270 329 a. What is the independent variable? b. What is the dependent variable? C. What test did you use to analyze the data? d. Is the test significant? How do you know? e. Write the statistical notation in APA style f. Report the findings in 1-3 sentences. Make sure to include the independent variable, the dependent variable, all relevant statistics and a summary.
ill give thukps up - andwer questions

Answer 1

1)Independent variable: Hours of study (The hours of study is independent as it is not associated with any dependency)
2)Dependent variable:GRE score (This variable is changing with the hours of study , thus dependent on the hours devoted for studying)

3) T test was applied to analyze the data.

4)Yes the test is significant, Following is the calculation:

The output of this calculator is pretty straightforward. The values of t and p appear at the bottom of the page. If the text is blue, your result is significant; if it's red, it's not. The only thing that might catch you out is the way that we've rounded the data. The data you see in front of you, apart from the t and p values at the page bottom, has been rounded to 2 significant figures. However, we did not round when actually calculating the values of t and p. This means if you try to calculate these values on the basis of the summary data provided here, you're likely going to end up with a different, less accurate, result. This is especially the case if you're dealing with numbers that are fractions of 1.

Treatment 1 (X)

10
45
33
15
25
20
95
65
20
20

• Diff (X - M)

  -24.80
  10.20
  -1.80
  -19.80
  -9.80
  -14.80
  60.20
  30.20
  -14.80
  -14.80

  M: 34.80

• Sq. Diff (X - M)²

  615.04
  104.04
  3.24
  392.04
  96.04
  219.04
  3624.04
  912.04
  219.04
  219.04

  SS: 6403.60

• Treatment 2 (X)
• 280
• 300
  287
  270
  270
  260
  337
  300
  270
  329
•    Diff (X - M)

  -10.30
  9.70
  -3.30
  -20.30
  -20.30
  -30.30
  46.70
  9.70
  -20.30
  38.70

  M: 290.30

• Sq. Diff (X - M)²

• 106.09
  94.09
  10.89
  412.09
  412.09
  918.09
  2180.89
  94.09
  412.09
  1497.69

  SS: 6138.10

Difference Scores Calculations

Treatment 1

N₁: 10
df₁ = N - 1 = 10 - 1 = 9
M₁: 34.8
SS₁: 6403.6
s²₁ = SS₁/(N - 1) = 6403.6/(10-1) = 711.51


Treatment 2

N₂: 10
df₂ = N - 1 = 10 - 1 = 9
M₂: 290.3
SS₂: 6138.1
s²₂ = SS₂/(N - 1) = 6138.1/(10-1) = 682.01


T-value Calculation

s²_p = ((df₁/(df₁ + df₂)) * s²₁) + ((df₂/(df₂ + df₂)) * s²₂) = ((9/18) * 711.51) + ((9/18) * 682.01) = 696.76

s²_M1 = s²_p/N₁ = 696.76/10 = 69.68
s²_M2 = s²_p/N₂ = 696.76/10 = 69.68

t = (M₁ - M₂)/√(s²_M1 + s²_M2) = -255.5/√139.35 = -21.64

The t-value is -21.64382. The p-value is < .00001. The result is significant at p < .05.

There was significant increase in the GRE score ( (M = 290.70) when hours of study increased (M=34).

Good Luck!