Standard error of the mean for the difference scores

Assignment Help Mathematics
Reference no: EM13293383

One sample has n = 16 with a SS = 1200 and a second sample has n = 24 and a SS = 1460.

a. Calculate the pooled variance for the two samples

b. Calculate the Estimated Standard of the Mean

Calculate the "t" for both of the following questions using the above data and determine if you Reject Ho or Fail to Reject Ho. Assume a two-tail test, alpha = .05 for both questions below.

c. If the sample mean difference is 4 points, is this enough to reject the null hypothesis? Calculate the t, set the critical boundary, make a decision.

d. If the sample mean difference is 8 points, is this enough to reject the null hypothesis? Calculate the t, set the critical boundary, make a decision.

Calculate the pooled variance for the two samples

Calculate the Estimated Standard of the Mean

If the sample mean difference is 4 points, what is the critical value set for the critical region?

If the sample mean difference is 4 points, what is the calculated t?

If the sample mean difference is 4 points, is this enough to reject the null hypothesis?

If the sample mean difference is 8 points, what is the critical value set for the critical region?

If the sample mean difference is 8 points, what is the calculated t?

If the sample mean difference is 8 points, is this enough to reject the null hypothesis?

A sample of difference scores from a repeated-measures experiment has a mean of MD = 6 with a variance of s2 = 72.

a. If n = 10, is the sample sufficient to reject the null hypothesis using a two-tailed test with alpha = .01?

b. if n = 36, is the sample sufficient to reject the null hypothesis using a two-tailed test with alpha = .01?

If n = 10, what is the standard error of the mean?

If n = 10, what are the critical boundaries for the critical region?

If n = 10, what is the calculated t?

If n = 10, is this sample sufficient to reject the null hypothesis?

If n = 36, what is the standard error of the mean?

If n = 36, what are the boundaries set for the critical region?

If n = 36, what is the calculated t?

If n = 36, is the sample sufficient to reject the null hypothesis?

A researcher would like to demonstrate how different schedules of reinforcement can influence behavior. Two separate groups of rats are trained to press a bar in order to receive a food pellet. One group is trained using a fixed ratio schedule where they receive one pellet for every 10 presses of the bar. The second group is trained using a fixed interval schedule where they receive one pellet for the first bar press that occurs within a 30 second interval. Note that the second group must wait 30 seconds before another pellet is possible no matter how many times the bar is pressed. After 4 days of training, the researcher records the response rate (number of presses per minute) for each rat. The results are summarized as follows:

Fixed Ratio Fixed Interval
n = 10 n = 10
M = 32 M = 26
SS = 90 SS = 110

Do these data indicate that there is a significant difference in responding behavior for these two reinforcement schedules? Test at the .05 level of significance using a two-tail test.

You will use the information in this question to write the Decision in a following question. Please make note of your answers to this question as they are important parts of the Decision.

What is the Independent Variable?

What is the Dependent Variable?

What is the Null Hypothesis?

What is the Alternative Hypothesis?

What are the degrees of freedom for this test?

What are the critical boundaries?

What is the sample standard deviation for the Fixed Ratio group?

What is the sample standard deviation for the Fixed Interval group?

What is the pooled variance?

What is the Estimated Standard Error of the Mean?

What is the calculated t?

What is the decision?

For the first scenario regarding fixed ration/fixed interval reinforcment schedules, what is the decision? Utilizing APA format, please write the brief conclusion paragraph

The following data represent the results from a repeated-measures study comparing two treatment conditions. (IV: treatment; DV: scores)

Treatment

Participant Before Treatment After Treatment D D2

#1 7 13
#2 9 14
#3 11 11
#4 7 14
#5 8 13
#6 10 16

Sample Mean 8.67 13.5

Sample Std. Deviation 1.63 1.64

Do the results indicate a significant difference between the two treatments? Use a two-tailed test with α = .01.

Please make note of your results from this question as you will need the information to prepare the Decision in a subsequent question.

What is the independent variable?

What is the dependent variable?

What is the Null Hypothesis?

What is the Alternative Hypothesis?

What are the degrees of freedom for this test?

What are the critical boundaries?

What is the Mean Difference?

What is the Sum of Squares for the difference scores?

What is the sample variance for the difference scores?

What is the Estimated Standard Error of the Mean for the difference scores?

What is the calcuated t?

Is this sufficient to Reject the Null Hypothesis?

Reference no: EM13293383

Questions Cloud

Explain what is the charge above and below physiological ph : what is the charge of the carboxyl group in an amino acid at physiological pH. Please explain the charge. Also what is the charge above and below physiological pH
How does the bandwidth of the pci bus compare firewire : The PCI bus found in many desktop computers transmits 64 bits perclock cycle at a 33MHz clock rate. How does the bandwidth of the PCI bus compare to the serial firewire (IEEE 1394) serial busspecification, which is 400Mbits/s
The e1 or e2 reaction is exothermic or endothermic overall : How do I know if an E1 or E2 reaction is exothermic or endothermic overall. Can it ever be endothermic? If so, when. All the examples I've seen are exothermic.
Explain sets of quantum numbers are valid for an electron : Identify which sets of quantum numbers are valid for an electron. Each set is ordered (n,\ell,m_\ell,m_s).
Standard error of the mean for the difference scores : What is the Mean Difference and what is the Sum of Squares for the difference scores - what is the Estimated Standard Error of the Mean for the difference scores?
Explain the label for the orbital here indicates : What is the label for the orbital shown here that indicates the type of orbital and its orientation in space
What is the potential energy of this set of charges : Three protons are at the vertices of an equilateral triangle 0.800nm on each side. What is the potential energy of this set of charges
Find the ground reaction force acting on weightlifter feet : An 80 kg weightlifter is standing holding a bar weighing 981 N directly over his head. What is the GRF (ground reaction force) acting on the weightlifter's feet
Describe the capm and the apt : Describe the CAPM and the APT and identify the factor(s) that determines returns in each?

Reviews

Write a Review

Mathematics Questions & Answers

  What percent of the time will the product be an odd number

Two standarddice are rolled and the resulting numbers are multiplied together. What percent of the time will the product be an odd number?

  Determin the annual rate for a car loan from a bank

determin the annual rate for a car loan from a bank.reduce this rate by 1%.this is r

  Which of the expressions below are equal to the one in box

Which of the expressions below are equal to the one in the box? Check all that apply.

  What was the annual interest

What was the annual interest?

  Find both the width of the square dining room

an architect has allocated a rectangular space of 377 sq ft for a square dining room and a 16 ft wide kitchen. Find both the width of the square dining room and the length of the entire rectangular space.

  Find what is the probability of getting at least one

What is the probability of getting at least 1 diamond in a 5-card hand dealt from a standard 52-card deck? 2. In a family with 3 children, excluding multiple births, what is the probability of having 2 boys and 1 girl, in any order? Assume that a b..

  Find the surface area of a rectangular prism

How do you find the surface area of a rectangular prism if the top is 5 the side is x+6 and the bottom is 2x-1?

  Describe the state space of this process

Describe the state space of this process. Explain why Xn forms a Markov chain and its transition probabilities.

  Find the number of hits for each player

Two miner league baseball players got a total of 220 hits washington had 16 more than sanchez find the number of hits for each player.

  What is the authority score of a node after one iteration

what is the hub/authority score of a node after one iteration?

  What is the maximum area of each pasture

A rancher has 30,000 linear feet of fencing and wants to enclose a rectangular field and then divide into four equal pastures with three internal fences parallel to one of the rectangular sides. What is the maximum area of each pasture?

  How fast the angle formed by the ladder and the ground

a ladder 13 feet long is leaning against the side of a building.if the foot of the ladder is pulled away from the building at the rate of 0.1foot per second how fast the angle formed by the ladder and the ground changing at the instant ,solution.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd