Statistics

Please response the two assignments every assignment have some questions to response, please response every question for separated and show the calculations please, there are additional documents for review supporting the question’s response please review all and response the questions

Assignment 1

This assignment is related to your Chapter 11 (Salkind) material. Please save your responses to this assignment, as you will need them for your discussion assignment this week!

Instructions: Do you recall the assignment we did a few weeks ago when we calculated the standard deviation and variance for the batting averages of 15 players on two baseball teams? Well, let’s revisit those data to figure out if there is a significant difference between the two teams. Our goal is to test if they are significantly different. (note this is the same as the data from your Assignment #6—you might want to look back at that assignment to see your means, SDs, and Variance calculations to save yourself some time on this assignment!).

Batting Averages for 15 LA Dodgers Players Batting Averages for 15 Houston Astros Players
0.249 0.277
0.278 0.278
0.258 0.294
0.264 0.279
0.297 0.319
0.254 0.257
0.306 0.27
0.254 0.172
0.165 0.311
0.338 0.235
0.27 0.259
0.242 0.26
0.215 0.211
0.215 0.304
0.169 0.176

1. What is the null hypothesis?
2. What is the alternative hypothesis?
3. What is the risk level?
Group of answer choices

.25

.05

.01

.5

4- What is the best statistical test to use?
Group of answer choices

ANOVA

t-Test for dependent samples

z-test

t-Test for independent samples

correlation test

5- Compute the test statistic. The formula is below for you. Also, remember to use the variance rather than the standard deviation in your calculation. You have already calculated the variance for your previous assignment, so that part is already done! Put your calculated t value below, round your answer to two decimal places:

6- Now it’s time to compare our obtained value (the one you just calculated) to the critical value. First, we’ll need the degrees of freedom. What are the degrees of freedom?
Group of answer choices

40

19

39

28

7- Should we use a “one tailed” or a “two tailed” test for this?

Hint: To figure this out, think about whether it is directional or non-directional. Take a look at your alternative hypothesis (above!), and think about the prompt for the assignment—did we expect a specific team to be better than the other (directional), or are we simply looking at whether the teams are different (non-directional)?

Group of answer choices

two tailed

one tailed

8- What is the critical value for this statistical test? (hint: you’ll need your answers to the previous two questions, as well as your “level of risk”; remember, if the exact degrees of freedom aren’t in the t-test table of critical values, you can choose the closest value that is there).
Group of answer choices

1.701

1.562

2.049

2.023

9- Write up your results as you would see it in a results section of an empirical research paper (in APA style). Make sure to include the means and SDs.

10- Based on your answer to the previous question, what is your decision?
Group of answer choices

Fail to reject the null hypothesis

Not enough information to decide

Reject the null hypothesis

11- Imagine that you also want to compare two other teams, The Red Sox and Yankees. After do anther t-test to compare the two teams and you writ the following write-up:

An independent samples t-Test comparing the average batting averages of the Red Sox and Yankees was significant, t(28) = 1.92, p < .05. The batting average for the Red Sox was significantly higher (M = 0.25, SD = 0.05) than the batting average for the Yankees (M = 0.210, SD = .05). Calculate the effect size for this new t-test, using the Pooled Variance Formula (Below). Round your answer to two decimal places. 12- What "size" is this effect size? Group of answer choices Medium There isn't enough information to answer this question. Large Small Assignment 2 This assignment is associated with Chapters 11 and 12 (Salkind). Always save a copy of your responses to the individual assignments before you submit them (either by taking a picture of your answers or by copying and pasting your answers into a word document). You will need them for you discussion assignment and you will not always have access to your responses after you submit them. Instructions: There are lots of techniques that we can use to try to calm down or relax when we are feeling anxious or tense. One strategy is deep breathing (see this link for some tips on deep breathing, https://www.uofmhealth.org/health-library/uz2255). A professor is interested in examining how deep breathing can influence feelings of anxiety. She recruits participants in her class right before the final exam, when their feelings of anxiety would be high. She measures their current levels of anxiety, instructs them to engage in 2 minutes of deep breathing, and then measures their anxiety again after they’ve completed the breathing. Below are the anxiety levels of each student before and after deep breathing. Your job is to determine if their anxiety levels significantly DECREASE after deep breathing. Data table Before Deep Breathing After Deep Breathing 15 10 10 8 11 5 14 10 12 8 4 3 7 2 Question 1 0.5 pts What's the null hypothesis for this research question? Group of answer choices Ha: Anxiety levels are significantly lower after deep breathing Ho: Anxiety levels before deep breathing ≤ ≤ anxiety levels after deep breathing Flag question: Question 2 Question 2 0.5 pts What's the alternative hypothesis for this research question? Group of answer choices Ho: Anxiety levels are the same before and after deep breathing Ha: Anxiety levels are significantly lower after deep breathing Flag question: Question 3 Question 3 1 pts What's the best statistical test to use to analyze this research question? Group of answer choices Correlation coefficient Independent sample t-test One way ANOVA One sample z-test Dependent samples t-test F statistic Flag question: Question 4 Question 4 1 pts The next step is to compute the test statistic. What is the t-statistic value (make sure you're using the t-test formula for the dependent samples t-test). Round your answer to two decimal places. Flag question: Question 5 Question 5 2 pts What are the degrees of freedom? Flag question: Question 6 Question 6 1 pts Should you do a one-tailed or two-tailed test here? Think about whether the hypothesis is directional or non-directional! Group of answer choices two tailed one tailed Flag question: Question 7 Question 7 2 pts What is the critical value? Flag question: Question 8 Question 8 1 pts Based on the t-value provided and the critical value, what is your decision about this research study? Group of answer choices There is not a significant decrease in anxiety before and after deep breathing. There is a significant decrease in anxiety after deep breathing Flag question: Question 9 Question 9 1 pts Write up your results as you would see them in an APA style write up. Don't forget to include your means and sds for the before and after data!