I need help with a few stat problems.Please see attached

#4) What is the decision at a 0.05 level of significance for each of the following tests? Hint: Find the critical value for each test; then make a decision. (Round your critical values to two decimal places.)

• Part (b)

F(5, 17) = 2.60

Fcrit = 

• Part (c)

F(2, 12) = 3.84

Fcrit = 

• Part (d)

F(4, 37) = 2.67

Fcrit = 

#6) The following is an incomplete F-table summarizing the results of a study of the variance of life satisfaction scores among unemployed, retired, part-time, and full-time employees.

(a) Complete the F-table. (Round your values for mean squares and F to two decimal places.)

(b) Compute omega-squared 

(ω2). ?

 (Round your answer to two decimal places.)
ω2 =  

#7) Iconic memory is a type of memory that holds visual information for about half a second (0.5 seconds). To demonstrate this type of memory, participants were shown three rows of four letters for 50 milliseconds. They were then asked to recall as many letters as possible, with a 0-, 0.5-, or 1.0-second delay before responding. Researchers hypothesized that longer delays would result in poorer recall. The number of letters correctly recalled is given in the table.

(a) Complete the F-table. (Round your values for MS and F to two decimal places.)

(b) Compute Tukey's HSD post hoc test and interpret the results. (Assume alpha equal to 0.05. Round your answer to two decimal places.)

The critical value is  for each pairwise comparison.

Which of the comparisons had significant differences? (Select all that apply.)

Recall following no delay was significantly different from recall following a half second delay

Recall following a half second delay was significantly different from recall following a one second delay

Recall following no delay was significantly different from recall following a one second delay

.The null hypothesis of no difference should be retained because none of the pairwise comparisons demonstrate a significant difference.

8) To test whether students in a higher grade level will be less disruptive in class, a school psychologist records the number of documented interruptions during one day of classes from nine local high schools. The sample consisted of nine 

(n = 9)

freshman, sophomore, junior, and senior high school classes. The data for each high school class are given in the table.

(a) Complete the F-table. (Round your answers to two decimal places.)

(b) Is it necessary to compute a post hoc test? Explain. (Assume alpha equal to 0.05.)

Yes, post hoc analyses are appropriate because the ANOVA is significant

No, post hoc analyses are not appropriate because the ANOVA is not significant.

14) Given the following information for the one-way within-subjects ANOVA, state the number of participants observed in each group.

(b)    

dfBG = 3, dfE = 15

? participants

17) A study investigated the effects of physical fatigue on the performance of professional tennis players. Researchers measured the number of unforced errors committed by a random sample of 12 professional tennis players during the first three sets of a match. They hypothesized that increased fatigue would be associated with a greater number of errors. The following is an F-table for this hypothetical study using the one-way within-subjects ANOVA.

(a) Complete the F-table.

(b) Estimate effect size using partial omega-squared: ωP2. (Round your answer to two decimal places.)
ωP2 = 

18) Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air traffic controllers work long hours with little sleep. Researchers wanted to test their ability to make basic decisions as they become increasingly sleep deprived. To test their abilities, a sample of 6 air traffic controllers is selected and given a decision-making skills test following 12-hour, 24-hour, and 48-hour sleep deprivation. Higher scores indicate better decision-making skills. The table lists the hypothetical results of this study.

(a) Complete the F-table. (Round your answers to two decimal places.)

(b) Compute a Bonferroni procedure and interpret the results. (Assume experimentwise alpha equal to 0.05. Select all that apply.)

There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions

There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions

There is a significant difference in decision making for the 12-hour and 24-hour sleep deprivation conditions.

There are no significant differences between any of the groups.

19) Some studies show that people who think they are intoxicated will show signs of intoxication, even if they did not consume alcohol. To test whether this is true, researchers had a group of five adults consume nonalcoholic drinks, which they were told contained alcohol. The participants completed a standard driving test before drinking and then after one nonalcoholic drink and after five nonalcoholic drinks. A standard driving test was conducted in a school parking lot where the participants had to maneuver through traffic cones. The number of cones knocked over during each test was recorded. The following table lists the data for this hypothetical study.

(a) Complete the F-table. (Round your answers to two decimal places.)

(b) Compute a Bonferroni procedure and interpret the results. (Assume experimentwise alpha equal to 0.05. Select all that apply.)

There were no significant differences between any of the groups.

Students knocked over significantly more cones after 5 nonalcoholic drinks compared with the driving test prior to drinking.

Students knocked over significantly more cones after 5 nonalcoholic drinks compared with the driving test after 1 nonalcoholic drink.

Students knocked over significantly more cones after 1 nonalcoholic drink compared with the driving test prior to drinking.

27) Seasonal affective disorder (SAD) is a type of depression during seasons with less daylight (e.g., winter months). One therapy for SAD is phototherapy, which is increased exposure to light used to improve mood. A researcher tests this therapy by exposing a sample of SAD patients to different intensities of light (low, medium, high) in a light box, either in the morning or at night (these are the times thought to be most effective for light therapy). All participants rated their mood following this therapy on a scale from 1 (poor mood) to 9 (improved mood). The hypothetical results are given in the following table.

(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Round your answers to two decimal places. Assume experimentwise alpha equal to 0.05.)

(b) Compute Tukey's HSD to analyze the significant main effect.

The critical value is ? for each pairwise comparison.

Summarize the results for this test using APA format.

28) To test the relationship between gender and ratings of a promiscuous partner, a group of men and women was given a vignette describing a person of the opposite sex who was in a dating relationship with one, two, or three partners. Participants rated how positively they felt about the individual described in the vignette, with higher ratings indicating more positive feelings.

(a) Complete the F-table and make a decision to retain or reject the null hypothesis for each hypothesis test. (Assume experimentwise alpha equal to 0.05.)

State the decision for the main effect of gender.

Retain the null hypothesis

Reject the null hypothesis.    

State the decision for the main effect of promiscuity.

Retain the null hypothesis

Reject the null hypothesis.    

State the decision for the interaction effect.

Retain the null hypothesis

.Reject the null hypothesis.    

(b) Based on the results you obtained, what is the next step?

Compute pairwise comparisons for the gender factor

.Compute pairwise comparisons for the promiscuity factor.     

No further analysis is needed, because none of the effects are significant

.Compute simple main effect tests for the significant interaction.