Learn Comparing two groups with Plainmath's Expert Help and Detailed Explanations

If you have been asked to sample 60 people from a chosen population for an observational study. You need to ask a question that separates the sample into two groups, so that you can compare results of another question across the two groups. Therefore, your survey will only be two questions: two numerical data questions or one numerical and one categorical question.

List the assumptions necessary for each of the following inferential techniques: a. Large-sample inferences about the difference ${\displaystyle ({\mu }_1-{\mu }_2)}$ between population means using a two-sample z-statistic b. Small-sample inferences about ${\displaystyle ({\mu }_1-{\mu }_2)}$ using an independent samples design and a two-sample t-statistic c. Small-sample inferences about ${\displaystyle ({\mu }_1-{\mu }_2)}$ using a paired difference design and a single-sample t-statistic to analyze the differences d. Large-sample inferences about the differences ${\displaystyle ({\mu }_1-{\mu }_2)}$ between binomial proportions using a two sample z-statistic e. Inferences about the ratio ${\displaystyle \frac{{\sigma }_1^2}{{\sigma }_2^2}}$ of two population variances using an F-test.

What would be an example of an exposure ratio threshold?

Multiple answers may be possible (partial credit added for correct answers, partial credit deducted for incorrect answers. You can't get a negative overall score for this question):
Which of the following are similarities of t-tests and ANOVA?

Given Vallias' value for ${\int }_0^{\sqrt{a}}{x}^{2}dx$,
calculate his value for ${\int }_0^a\sqrt{x}dx,$ using graph.

Why does the df value decrease in SPSS if we did not pass Leuven's test example?

Parameters and Statistics: Prove that is of Describe the population and the sample, respectively. Give a full and correct your answer for this question

To describe: The reason for the name "gravity model".

Consider a group of 8 people. Among them, there is one pair of twins. These 8 people are taken into two different rooms, Room A and Room B, with four people to each room. If all groups of four people are equally likely, find the probability that the twins will be sent into the same room.

State in detail under what conditions it is possible to make a causal inference from a comparison of means between two or more groups of individuals.

Write the Different Ways of Measuring Angles The custom of measuring angles using degrees, with ${\displaystyle {360}^{\circ }}$ in a circle, dates back to the ancient
Babylonians, who used a number system based on groups of 60. Another system of measuring angles divides the circle into 400 units, called grads. In this system a right angle is 100 grad, so this fits in with our base 10 number system.
Write a short essay comparing the advantages and disadvantages of these two systems and the radian system of measuring angles. Which system do you prefer?
Why?

Give a ffull answer its true or false: When an ANOVA comparing the means of 3 groups indicates that at least one group is different from the others, a common follow-up analysis to determine which group(s) is (are) different is pairwise two-sample t-tests each assessed using i) the pooled standard deviation when calculating the standard error for the difference in means and ii) a Bonferonni-corrected alpha level of 0.0167 to control the type I error rate for the overall inference to 5%

The given polynomial $x^2-22x+72$ and factors by multiplying.

Give the correct answer for this question: The Dunkers of Pennsylvania are members of a religious sect, about 50 of whom emigrated from Germany in the early 1700s.

For each of the following test, outline a research scenario and use any hypothetical data to show how the test is conducted.
i. One sample t-test
ii. Independent two-sample t-test
iii. Paired two-sample t-test
iv. Analysis of variance
v. Chi-square for goodness-of-fit test
vi. Chi-square test for independence

The sampling distribution of $\frac{S_1^2}{S_2^2}$ is the ${\chi }^2$ distribution. Give a correct answer true or false inference for two population variances is done through their difference.

Give a full and correct answer for this questions: a.What is the null hypothesis? b.Copy and paste the data into the Group 1 and Group 2 data boxes. Do the distributions look different to you? c.Record the p-value of the hypothesis test. How do you interpret this result?

Solve the following problems applying Polya’s Four-Step Problem-Solving strategy.
If six people greet each other at a meeting by shaking hands with one another, how many handshakes take place?

Identify the appropriate hypothesis test for each of the following research situations using the options: The null hypothesis, The Test Statistics, The Sample Statistic, The Standard Error, and The Alpha Level.
A researcher conducts a cross-sectional developmental study to determine whether there is a significant difference in vocabulary skills between 8-year-old and 10-year-old children. A researcher determines that 8% of the males enrolled in Introductory Psychology have some form of color blindness, compared to only 2% of the females. Is there a significant relationship between color blindness and gender?
A researcher records the daily sugar consumption and the activity level for each of 20 children enrolled in a summer camp program. The researcher would like to determine whether there is a significant relationship between sugar consumption and activity level.
A researcher would like to determine whether a 4-week therapy program produces significant changes in behavior. A group of 25 participants is measured before therapy, at the end of therapy, and again 3 months after therapy.
A researcher would like to determine whether a new program for teaching mathematics is significantly better than the old program. It is suspected that the new program will be very effective for small-group instruction but probably will not work well with large classes. The research study involves comparing four groups of students: a small class taught by the new method, a large class taught by the new method, a small class taught by the old method, and a large class taught by the old method.