ZuoTi.Pro
Question

22. You are looking at the CGA exam and want to assess whether or not there are different success rates with students from di
(a) Calculate the grand overall) mean. (b) Use the table below to calculate SSB. School Mean 53 70.6 55 SSB (c) Use the table
(c) Use the tables below to determine SSW. Fill out the rest of the table for School 1. School 1 School 2 School 3 45 18 - 54
(d) Calculate the sum of squares total (SST) Answer: (e) Fill out the ANOVA table below: Source of Variation Ftest P-value Fr
math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

(a) G = (53 + 70.6 + 55)/3 = 59.53

(b)

School Mean n n*(x - xgrand)²
53 4 170.7378
70.6 5 612.3556
55 5 102.7556
SSB 882.8

(c)

School 1 School 2 School 3
45 51 41 64 384.16 196
48 64 46 25 43.56 81
54 76 53 1 29.16 4
65 78 63 144 54.76 64
84 72 179.56 289
Total 234 691.2 634

SSW = 1559.2

(d) SST = 882.8 + 1559.2 = 2442

(e)

Source SS    df MS F    p-value F crit
Treatment 882.80 2 441.400 3.11 .0848 3.98
Error 1,559.20 11 141.745
Total 2,442.00 13

(f) The hypothesis being tested is:

H0: µ1 = µ2 = µ3

Ha: Not all means are equal

The p-value is 0.0848.

Since the p-value (0.0848) is greater than the significance level (0.05), we fail to reject the null hypothesis.

Therefore, we cannot conclude that there is a different success rates with students from different schools.

0 0
Add a comment
Know the answer?
Add Answer to:
22. You are looking at the CGA exam and want to assess whether or not there...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • The statistics lecture room is divided into three sections: front, middle, and back. The instructor noticed...

    The statistics lecture room is divided into three sections: front, middle, and back. The instructor noticed that the further the students were from her, the more likely they were to miss class, arrive late or text during class. She wanted to see if the students who sit further away did worse on tests so she took a random sample of students from each section and recorded their percentage mark on the second test. Percentage Mark on Second Test Front Middle...

  • Suppose you want to know if different dosages of caffeine affect students’ performance on a test....

    Suppose you want to know if different dosages of caffeine affect students’ performance on a test. We randomly sampled 15 college students and randomly assigned them to three conditions. Group 1: Very large dose of caffeine Group 2: Moderate dose of caffeine Group 3: Placebo (no caffeine) The table below displays these 15 students’ scores. Group1 Group 2 Group 3 15 26 10 16 25 9 14 23 9 13 20 6 12 21 6 Calculate SSB, SSW, SST, MSB,...

  • A principal of a middle school wants to investigate whether student performance on a math test...

    A principal of a middle school wants to investigate whether student performance on a math test depends on instructor of the class. She selects 18 random students and assigns each of them randomly to one of three different instructors. The test scores are given below. Is there sufficient evidence to conclude that student performance differs between instructors? Use significance level 0.1 Note that the numbers in this problem have been manufactured such that all of the group means and the...

  • A principal of a middle school wants to investigate whether student performance on a math test...

    A principal of a middle school wants to investigate whether student performance on a math test depends on instructor of the class. She selects 18 random students and assigns each of them randomly to one of three different instructors. The test scores are given below. Is there sufficient evidence to conclude that student performance differs between instructors? Use significance level 0.1 Note that the numbers in this problem have been manufactured such that all of the group means and the...

  • 4. (Four parts; 13 marks in total) A study was conducted to assess the effect of...

    4. (Four parts; 13 marks in total) A study was conducted to assess the effect of gender on average math SAT scores for students applying to a particular math department. The "effect" of gender (or the gender effect) on average math SAT score is defined as the difference in average math SAT score between males and females (um -up). Assume all the required assumptions are satisfied. a) (2 marks) Referring to the output in Tables 1 and 2 below, is...

  • 6. You are interested in buying a car that gives good gas mileage. You have narrowed...

    6. You are interested in buying a car that gives good gas mileage. You have narrowed down the choices to 3 types of car models: C1, C2 and C3. You wish to test the following: Ho: H = H2 = H3 Hy: at least two of the means differ The gas mileage for each model CI, C2 and C3, from a sample of 5 cars for each model is given below. Column 1 represents the index i, for each observation....

  • Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample...

    Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample 3 a) Calculate the total sum of squares (SST) and partition the SST into its two components, the sum of squares between (SSB) and the sum of squares within (SS) b) Use these values to construct a one-way ANOVA table c) using α-0.05, what conclusions can be made concerning the population means? 14 Click the lcon to view a table of critical F-scores for...

  • A clinical trial is run to assess the effects of different forms of regular exercise on HDL level...

    A clinical trial is run to assess the effects of different forms of regular exercise on HDL levels in a sample of healthy men between the ages of 18 and 29. Participants in the study were randomly assigned to either one of three exercise groups (Weight training, Aerobic exercise or Yoga) or to a control group in which they were assigned to a regular exercise program. Participants were instructed to follow the program for 8 weeks. Their HDL levels were...

  • The mean exam score for 44 male high school students is 20.1 and the population standard...

    The mean exam score for 44 male high school students is 20.1 and the population standard deviation is 4.7. The mean exam score for 58 female high school students is 19.6 and the population standard deviation is 4.1. At a = 0.01, can you reject the claim that male and female high school students have equal exam scores? Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page...

  • Falls/ does not fall, Reject/do not reject, Provide/do not provide Consider the data in the table...

    Falls/ does not fall, Reject/do not reject, Provide/do not provide Consider the data in the table collected from three independent populations. Sample 1 Sample 2 Sample 3 III a) Calculate the total sum of squares (SST) and partition the SST into its two components, the sum of squares between (SSB) and the sum of squares within (SSW) b) Use these values to construct a one- way ANOVA table c) Using a 0.05, what conclusions can be made concerning the population...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT