### Statistical Analysis of a Computerized Mathematics Curriculum in GeorgiaThe state of Georgia is considering spending $350 million on a computerized mathematics curriculum for grades 3 through 10. To evaluate the program’s effectiveness, they piloted the program with 250 students in grades 5 and 6. The end-of-course test scores of these students were compared to the state average score of 150.---**Hypotheses:**- Null Hypothesis (H₀): μ = 150- Alternative Hypothesis (Hₐ): μ > 150### Understanding Type I and Type II Errors**Type I Error (False Positive):**Occurs when the null hypothesis (H₀) is true, but we incorrectly reject it. In this context, a Type I error would mean that the pilot program for the computerized mathematics curriculum is deemed effective (i.e., the mean score is higher than 150) when, in reality, it is not.**Type II Error (False Negative):**Occurs when the null hypothesis (H₀) is false, but we fail to reject it. In this context, a Type II error would mean that the pilot program is not deemed effective (i.e., the mean score is not higher than 150) when, in fact, it is effective.### Contextual Implications:Understanding errors in hypothesis testing is crucial for educational policy decisions:- A **Type I error** could lead to the unnecessary expenditure of $350 million on an ineffective program.- A **Type II error** might result in the dismissal of a potentially beneficial educational tool.These errors provide insight into the risks associated with making incorrect conclusions based on statistical tests and the importance of choosing appropriate significance levels.---By comprehending Type I and Type II errors within this framework, educators and policymakers can make more informed decisions regarding the implementation of new educational technologies and programs.

Name: ### Statistical Analysis of a Computerized Mathematics Curriculum in
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ### Statistical Analysis of a Computerized Mathematics Curriculum in GeorgiaThe state of Georgia is considering spending $350 million on a computerized mathematics curriculum for grades 3 through 10. To evaluate the program’s effectiveness, they pil

Answered: Image /qna-images/answer/2723d463-1074-4189-a209-063641baed4b.jpg

Math

Statistics

4. The state of Georgia is considering spending $350 million on a computerized mathematics curriculum that for grades 3 – 10. They pilot the program with 250 students in grades 5 and 6 whose end-of-course test scores are compared to the state average score of 150 to see whether the program has been effective. If we are testing Ho:H = 150 vs HaiH> 150, State the Type I error and Type II error in context of the problem. Туре I error: Туре I error:

4. The state of Georgia is considering spending $350 million on a computerized mathematics curriculum that for grades 3 – 10. They pilot the program with 250 students in grades 5 and 6 whose end-of-course test scores are compared to the state average score of 150 to see whether the program has been effective. If we are testing Ho:H = 150 vs HaiH> 150, State the Type I error and Type II error in context of the problem. Туре I error: Туре I error:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Look at the table that lists SAT scores before and after a sample of five students took a prep class and explain a Type I error and Type II error pertaining to the problem. Ho: u=0 Ha:u>0 Student 1 2 3 4 5 SAT score before class 700 840 830 860 600 SAT score after class 720 840 820 900 700
A social worker is interested in examining how people who have higher levels of psychological resiliency respond after a natural disaster. She obtained anxiety scores, which were measured on a scale of 1–12 with higher numbers meaning more anxiety, from eight individuals who had experienced a natural disaster. She collected these scores 3 weeks after the disaster (M=7.13, s=2.03) and 6 months after the disaster (M=3.5, s=1.6). She expected that the anxiety scores at 6 months would be much lower than at 3 weeks. If sD = 1.30 and you use a two-tailed test with an alpha of .05, is there a difference? Perform the 4 steps of hypothesis testing. Anxiety at 3 weeks Anxiety at 6 months: 9 610 55 24…
Amit Almor, a psychology researcher at the University of South Carolina, conducted a series of experiments on conversation and attention level. He found that subjects were four times more distracted while preparing to speak or speaking than when they were listening. This research has many implications, including those for the issue of using cell phones while driving. You decide to explore this issue by having three different groups try tracking a fast-moving target on a computer screen. The first group is preparing to speak, the second group is speaking, and the third group is listening to a conversation. The sample mean and sum of squares of the scores for each of the three groups are presented in the following table. Group Sample Mean Sum of Squares Preparing to speak 98.3 7,2810.0900 Speaking 101.5 6,6156.8100 Listening 103.2 70,277.7600 After collecting the data, you analyze the data using an ANOVA. The results of your analysis are presented in the following…
I need help with these two questions?
Assume that both populations are normally distributed. (a) Test whether μ₁ µ₂ at the α = 0.01 level of significance for the given sample data. (b) Construct a 99% confidence interval about μ₁ - H₂. (a) Test whether μ₁ μ₂ at the α = 0.01 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. OA. Holl #U2 H₁ H1 H2 OB. Ho H₁ H₂ H₁:1₁ > H₂ O C. Ho H₁ = μ¹2 H₁ H₁ > H₂ O D. Ho H₁ H2 H₁ H1 H₂ n X S Population 1 Population 2 18 18 19.2 23.4 5.3 4.3
2) Parts A B a. b. C
A New York Times article titled For Runners, Soft Ground Can Be Hard on the Body considered two perspectives on whether runners should stick to hard surfaces or soft surfaces following an injury. One position supported running on soft surfaces to relieve joints that were in recovery from injury. The second position supported running on hard surfaces since soft surfaces can be uneven, which may make worse those injuries a soft surface was intended to help. Suppose we are given sufficient funds to run an experiment to study this topic. With no studies to support either position, which of the following hypotheses would be appropriate? The first position is more sensible, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the second position. The second position makes the more sense, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the first position. Because we would be interested in any…
Do only question 3
Suppose a researcher wants to see if the proportion of college educated adults is higher in New York compared to Florida. The researcher randomly samples 500 adults in New York and found that 196 had a college education, while a random sample of 600 adults in Florida found that 227 had a college education.At the 0.05 level of significance, does the data provide evidence to suggest the proportion of college educated adults is higher in New York than Florida? Step 1: Define the parameter & setup the testStep 2: State the Level of SignificanceStep 3: Find the value of the Test StatisticsStep 4: Find P-Value OR Find Critical ValueStep 5: State Conclusion and why
Dr. S. Oberman has the research hypothesis that drivers who have consumed one drink are actually slightly better (score higher on a driving test) than drivers who have had no alcohol. (One drink, she believes, makes them relaxed and not as nervous.) She tests this by having subjects take a standard driving test. We know that completely sober, college-student drivers score an average of 75 on this test, where high scores mean better driving. Dr. S. Oberman's null hypothesis is: [note: Ho means mu, the population mean according to the null hypothesis] Ho is equal to 0 Po is less than 0 Po is not known, nor can it be known Ho is equal to (or less than) 75 Po is greater than 75
We want to know if students with bronchitis at 5 years have more cough symptoms when they grow up. Out of 290 children with Bronchitis at Age 5, 32 of them has cough symptoms at Age 12. Out of 970 children with no Bronchitis at Age 5, 43 of them has cough symptoms at Age 12. Is the cough symptom equally prevalent in both populations?
A pharmaceutical company wanted to study the effectiveness of a new hair growth product in women. It recruited 1100 random women from the L.A. area and measured the length of their hair. They gave 500 women the new product in unmarked bottles to use over a 6-month period. The other 600 women received unmarked bottles with mostly water and fragrance to use over a 6-month period. None of the women knew which product they received. They found that 450 out of 500 women that received the new product showed hair growth of 1-2 inches. Only 90 out of 600 women that used the water/fragrance combination showed hair growth of 1-2 inches. What percentage of women that received the treatment showed hair growth of 1-2 inches? Answer: 450/ 500= 0.9= 90%