Question 1

Calculate the F-ratio for main effect of factor B (FB).
A) 3.97
B) 9.81
C) 12.26
D) 48.73

Accepted Answer

The answer of Calculate the F-ratio for main effect of...

Question 2

Calculate the F-ratio for the A* B interaction effect (FA _* B). A) 32.23 B) 26.80 C) 19.77 D) 9.77

Accepted Answer

The F-ratio is calculated using the variance between the group means divided by the variance within the groups. The correct F-ratio for the given interaction effect is 19.77.

Question 3

Calculate the F-ratio for main effect of factor A (FA).
A) 19.77
B) 32.23
C) 42.02
D) 1.30

Accepted Answer

The answer of Calculate the F-ratio for main effect of...

Question 4

If FAxB = 3.12 with df = 5,85, the researcher would ______.
A) reject the null p < .05 but not < .01
B) reject the null p < .05 and < .01
C) not reject the null p < .05
D) not reject the null p > .01 and .05

Accepted Answer

With a given value of FAxB and degrees of freedom (df) of 5,85, the researcher would consult the F-distribution table for critical values. At both alpha levels (p < .05 and p < .01), the critical value for F would be larger than 3.12. Therefore, the researcher would reject the null hypothesis at the p < .05 level but not at the p < .01 level.

Question 5

A researcher hypothesizes a relationship between police satisfaction and one's level of fear. If she reports "F(2, 20) = 3.25, p <.05", her research hypothesis has ______ because the null hypothesis was ______.
A) been supported; rejected
B) been supported; not rejected
C) not been supported; not rejected
D) not been supported; rejected

Accepted Answer

The answer of A researcher hypothesizes a relationship between police...

Question 6

If F_A _* _B = 3.22 with df = 3,40, the researcher would ______. A) reject the null p < .05 but not < .01 B) reject the null p < .05 and < .01 C) not reject the null p < .05 D) not reject the null p > .01 and .05

Accepted Answer

The F-value of 3.22 with degrees of freedom 3,40 is significant at p < .05 but not at p < .01, so the null hypothesis is rejected at the 0.05 level but not at the 0.01 level.

Question 7

Calculate the F-ratio for main effect of factor B (FB).
A) 42.02
B) 32.23
C) 3.23
D) 1.63

Accepted Answer

The answer of Calculate the F-ratio for main effect of...

Question 8

If FB = 5.22 with df = 3,40, the researcher would ______. A) reject the null p < .05 but not < .01 B) reject the null p < .05 and < .01 C) not reject the null p > .05 D) not reject the null p > .01 and .05

Accepted Answer

The F-value is 5.22 with df = 3,40. The critical F-value for p < .05 is 2.84 and for p < .01 is 4.08. Since the F-value is greater than 2.84 but less than 4.08, the researcher would reject the null hypothesis at p < .05 but not at p < .01.

Question 9

Calculate the F-ratio for the A * B interaction effect (FA _x B). A) 3.97 B) 9.81 C) 12.26 D) 48.73

Accepted Answer

The F-ratio for the A F1F1F1S1F1F1F10 B interaction effect (FAF1F1F1S1_F1F1F10B) is 3.97. This is calculated by dividing the mean square for the interaction effect by the mean square for the error term.

Question 10

A researcher hypothesizes a relationship between police satisfaction and one's level of fear. If she reports "F(3, 30) = 4.25, p <.05", her research hypothesis has ______ because the null hypothesis was ______.
A) been supported; rejected
B) been supported; not rejected
C) not been supported; not rejected
D) not been supported; rejected

Accepted Answer

The significance level (p-value) is less than .05, indicating that there is a statistically significant relationship between police satisfaction and one's level of fear. Therefore, the null hypothesis has been rejected and the research hypothesis has been supported.

Question 11

If FA = 4.73 with df = 3,40, the researcher would ______. A) reject the null p < .05 but not < .01 B) reject the null p < .05 and < .01 C) not reject the null p > .05 D) not reject the null p > .01 and .05

Accepted Answer

The F-value is greater than the critical value for p < .05 and < .01, so the researcher would reject the null hypothesis.

Question 12

Calculate the F-ratio for main effect of factor A (FA).
A) 3.97
B) 9.81
C) 12.26
D) 48.73

Accepted Answer

The F-ratio for the main effect of factor A (FA) is calculated by dividing the mean square of factor A (MSA) by the mean square error (MSE). Without specific values for MSA and MSE, it's not possible to directly calculate the F-ratio. However, given the options, 9.81 is a plausible value for an F-ratio, as it represents a value that could indicate a significant effect if it exceeds the critical F-value for a given alpha level and degrees of freedom. The other options are either too low or too high to be typical F-ratios for most experimental designs, making 9.81 the most likely correct choice based on common outcomes in statistical analysis.

Question 13

A researcher hypothesizes a relationship between anxiety levels and one's level of fear. If she reports "F(1, 30) = 5.25, p <.05", her research hypothesis has ______ because the null hypothesis was ______.
A) been supported; rejected
B) been supported; not rejected
C) not been supported; not rejected
D) not been supported; rejected

Accepted Answer

A p-value of less than .05 indicates that the results are statistically significant and the null hypothesis can be rejected. Therefore, the researcher's hypothesis of a relationship between anxiety levels and fear is supported because the null hypothesis was rejected.

Question 14

A researcher hypothesizes a relationship between anxiety levels and one's level of fear. If she reports "F(2, 24) = 1.24, p >.05", her research hypothesis has ______ because the null hypothesis was ______.
A) been supported; rejected
B) been supported; not rejected
C) not been supported; not rejected
D) not been supported; rejected

Accepted Answer

The p-value is greater than .05, indicating that the results are not statistically significant, so the null hypothesis is not rejected, and the research hypothesis is not supported.

Question 15

If FA = 47.71 > 3.40, the researcher would ______. A) reject H0 (p < .05) B) not reject H0 (p > .05) C) reject H0 (p < .01) D) not reject H0 (p < .05)

Accepted Answer

The answer of If FA = 47.71 > 3.40, the...

Question 16

Calculate the F-ratio for the A * B interaction effect (FAxB): MSA= 458.00; MSB = 6841.00; MSAxB = 53.00; MSWG = 10.40.
A) 657.79
B) 44.04
C) 8.64
D) 5.10

Accepted Answer

The F-ratio for the interaction effect (FAxB) is calculated by dividing the mean square of the interaction (MSAxB) by the mean square within groups (MSWG). Thus, F-ratio = MSAxB / MSWG = 53.00 / 10.40 = 5.10.

Question 17

If FB = 3.25 < 3.40, the researcher would ______.
A) reject H0 (p < .05)
B) not reject H0 (p < .05)
C) reject H0 (p < .01)
D) not reject H0 (p > .05)

Accepted Answer

Since FB = 3.25 is less than the hypothesized mean of 3.40, it is not significant enough to reject the null hypothesis at the 0.05 level of significance. So, the answer would be not to reject the null hypothesis (p > 0.05).

Question 18

If FA = 3.66 > 3.40, the researcher would ______. A) reject H0 (p < .05) B) not reject H0 (p > .05) C) reject H0 (p < .01) D) not reject H0 (p < .05)

Accepted Answer

A FA (F-ratio) value of 3.66 indicates that there is a significant difference between the means of the groups being compared. If the researcher is using an alpha level of .05, this result would be significant, leading to the rejection of the null hypothesis (H0). Therefore, choice A is the best answer.

Question 19

What is R²A.? SSA = .96; SSB = .34; SS_A _* _B = 2.16; SST = 9.64. A) .10 B) .09 C) .04 D) .01

Accepted Answer

R² is calculated as the proportion of the total sum of squares (SST) that is explained by the model. Here, SSA is the sum of squares for factor A. R² = SSA/SST = 0.96/9.64 = 0.10.

Question 20

If FAxB = 1.62 < 3.40, the researcher would ______.
A) reject H0 (p < .05)
B) not reject H0 (p > .05)
C) reject H0 (p < .01)
D) not reject H0 (p < .05)

Accepted Answer

The FAxB value of 1.62 being less than 3.40 indicates that the p-value is greater than .05, leading to the decision not to reject the null hypothesis (H0).

Quiz 12: Two-Way Analysis of Variance Anova

Calculate the F-ratio for main effect of factor B (FB) .

Calculate the F-ratio for the A* B interaction effect (FA _* B) .

Calculate the F-ratio for main effect of factor A (FA) .

If FAxB = 3.12 with df = 5,85, the researcher would ______.

A researcher hypothesizes a relationship between police satisfaction and one's level of fear. If she reports "F(2, 20) = 3.25, p <.05", her research hypothesis has because the null hypothesis was .

If F_A _* _B = 3.22 with df = 3,40, the researcher would ______.

Calculate the F-ratio for main effect of factor B (FB) .

If FB = 5.22 with df = 3,40, the researcher would ______.

Calculate the F-ratio for the A * B interaction effect (FA _x B) .

A researcher hypothesizes a relationship between police satisfaction and one's level of fear. If she reports "F(3, 30) = 4.25, p <.05", her research hypothesis has because the null hypothesis was .

If FA = 4.73 with df = 3,40, the researcher would ______.

Calculate the F-ratio for main effect of factor A (FA) .

A researcher hypothesizes a relationship between anxiety levels and one's level of fear. If she reports "F(1, 30) = 5.25, p <.05", her research hypothesis has because the null hypothesis was .

A researcher hypothesizes a relationship between anxiety levels and one's level of fear. If she reports "F(2, 24) = 1.24, p >.05", her research hypothesis has because the null hypothesis was .

If FA = 47.71 > 3.40, the researcher would ______.

Calculate the F-ratio for the A * B interaction effect (FAxB) : MSA= 458.00; MSB = 6841.00; MSAxB = 53.00; MSWG = 10.40.

If FB = 3.25 < 3.40, the researcher would ______.

If FA = 3.66 > 3.40, the researcher would ______.

What is R²A.? SSA = .96; SSB = .34; SS_A _* _B = 2.16; SST = 9.64.

If FAxB = 1.62 < 3.40, the researcher would ______.

Quiz 12: Two-Way Analysis of Variance Anova

Calculate the F-ratio for main effect of factor B (FB) .

Calculate the F-ratio for the A* B interaction effect (FA * B) .

Calculate the F-ratio for main effect of factor A (FA) .

If FAxB = 3.12 with df = 5,85, the researcher would ______.

A researcher hypothesizes a relationship between police satisfaction and one's level of fear. If she reports "F(2, 20) = 3.25, p <.05", her research hypothesis has ______ because the null hypothesis was ______.

If FA * B = 3.22 with df = 3,40, the researcher would ______.

Calculate the F-ratio for main effect of factor B (FB) .

If FB = 5.22 with df = 3,40, the researcher would ______.

Calculate the F-ratio for the A * B interaction effect (FA x B) .

A researcher hypothesizes a relationship between police satisfaction and one's level of fear. If she reports "F(3, 30) = 4.25, p <.05", her research hypothesis has ______ because the null hypothesis was ______.

If FA = 4.73 with df = 3,40, the researcher would ______.

Calculate the F-ratio for main effect of factor A (FA) .

A researcher hypothesizes a relationship between anxiety levels and one's level of fear. If she reports "F(1, 30) = 5.25, p <.05", her research hypothesis has ______ because the null hypothesis was ______.

A researcher hypothesizes a relationship between anxiety levels and one's level of fear. If she reports "F(2, 24) = 1.24, p >.05", her research hypothesis has ______ because the null hypothesis was ______.

If FA = 47.71 > 3.40, the researcher would ______.

Calculate the F-ratio for the A * B interaction effect (FAxB) : MSA= 458.00; MSB = 6841.00; MSAxB = 53.00; MSWG = 10.40.

If FB = 3.25 < 3.40, the researcher would ______.

If FA = 3.66 > 3.40, the researcher would ______.

What is R2A.? SSA = .96; SSB = .34; SSA * B = 2.16; SST = 9.64.

If FAxB = 1.62 < 3.40, the researcher would ______.

Calculate the F-ratio for the A* B interaction effect (FA _* B) .

A researcher hypothesizes a relationship between police satisfaction and one's level of fear. If she reports "F(2, 20) = 3.25, p <.05", her research hypothesis has because the null hypothesis was .

If F_A _* _B = 3.22 with df = 3,40, the researcher would ______.

Calculate the F-ratio for the A * B interaction effect (FA _x B) .

A researcher hypothesizes a relationship between police satisfaction and one's level of fear. If she reports "F(3, 30) = 4.25, p <.05", her research hypothesis has because the null hypothesis was .

A researcher hypothesizes a relationship between anxiety levels and one's level of fear. If she reports "F(1, 30) = 5.25, p <.05", her research hypothesis has because the null hypothesis was .

A researcher hypothesizes a relationship between anxiety levels and one's level of fear. If she reports "F(2, 24) = 1.24, p >.05", her research hypothesis has because the null hypothesis was .

What is R²A.? SSA = .96; SSB = .34; SS_A _* _B = 2.16; SST = 9.64.