Hypothesis Testing with Two Groups and ANOVA -A4

Hypothesis Testing with Two Groups and ANOVA -A4

Answer questions associated with hypothesis testing with two groups and ANOVA.

Question 1

A researcher examines the results of two separate studies. In the first study, the difference between Group A and Group B is two points. However, the σM1-M2 is large, and the difference is not significant. In the second study, the difference between Group A and Group B is also two points. However, the σM1-M2 is small, and the difference is significant. What might be the reason for the difference in the σM1-M2 across the two studies?

Question 2

A researcher is examining the effects of a new anxiety drug. The σM for the experimental group (group receiving the antianxiety drug) is 1.4, while the σM for the control group is 1.22. Calculate the σM1 – M2 .

Question 5

Identify whether independent samples were used, repeated measures were used, or matched samples were used in the following scenarios:

  1. A researcher wants to know whether men or women spend more money at the movie concession stand. He asks the concession clerk to identify the customer as male or female on each saved receipt.
  2. A CPR instructor wants to know if her students are learning anything during her 90-minute training. She decides to quiz her students at the beginning of class and again at the end of class.

Question 9

Assume the within-group deviation is 108.45 and the between-group deviation is 48.68. Calculate the total deviation.

Question 10

Assume MSbet = 80 and MSwith = 20. What is F?

Question 11

Answer questions a–d using the following ANOVA summary table:

ANOVA Summary Table
SS df MS F
Between Groups 283.32 4 70.83 8.16
Within Groups 390.60 45 8.68
Total 673.92 49
  1. How many groups participated?
  2. How many participants were in each group (assuming equal number of participants per group)?
  3. What is the critical value of F (4,45) at the .01 level? Refer to the F-Table for Assessment 4 document linked in the Resources under the Required Resources heading.
  4. How confident are you (0–100 percent), given a significant result at the .01 level, that rejecting the null hypothesis is not due to chance? Additionally, what is the probability that you have made a Type 1 error?

Submission Requirements

  • Submit all answers in one Word document (do not submit multiple files).
  • Show your work for questions that require calculations.
  • Ensure your answer to each problem is clearly visible (you may want to highlight your answer, or use a different font color, to set it apart).