21.32 Coaching and SAT Scores. Coaching companies claim thattheir courses can raise the SAT scores of high school students. Ofcourse, students who retake the SAT without paying for coachinggenerally raise their scores, too. A random sample of studentswho took the SAT twice found 427 who were coached and 2733who were uncoached.20 Looking at their Math scores on the firstand second tries, we have these summary statistics:CoachedUncoachedn427x521Try 1S100T561Try 22733 505 101 527S10010140Gain58The summary statistics for Gain are based on the changes in thescores of the individual students. Let's first ask if students whoare coached increased their scores significantly.a. You could use the information on the Coached line tocarry out either a two-sample t test comparing Try 1 withTry 2 for coached students or a matched pairs t test usingGain. Which is the correct test? Why?b. Carry out the proper test. What do you conclude?c. Give a 99% confidence interval for the mean gain of allstudents who are coached.

Given,the data on coached and uncoached students.To,tell the test type,carry the hypothesis, and99%…

Answered: sign a. You could use the information…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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c. this test statistic for data = d. the p-value for this sample =
South Dakota prices vary $350,000: $400,000:$400,000:$425,000:$429,000: $440,000: $560,000: $585,000,: $585,000: $785,000 : $1,300,000. We found the following Mean = 569000 SD = 272703.1353 T score = .7113 P Value = .4932 CI: 385795.5409,752204.4591 If you had a margin of error of $13,000 how large of sample would you need with a 90% confidence interval using the given tscore.
You collect data on number of hours spent studying, on average, throughout the Fall 2019 semester for all Stonehill students. You have a colleague at the College of the Holy Cross in Worcester, MA who collects the same data at Holy Cross. You want to compare the average number of hours spent studying during the Fall 2019 semester for male students at Stonehill, female students at Stonehill, male students at Holy Cross and female students at Holy Cross. Which statistical test would you use to compare the students at Stonehill and Holy Cross to look for significant differences in study time? a. one sample t test b. two sample t test c. repeated measures t test d. ANOVA
Caden then performs a significance test. First, he performs 100 simulations. For each simulation, he randomly reorganizes the subjects into two groups, A and B, of size 10. In the simulations, group A plays the role of the treatment group and group B plays the role of the control group. After each simulation, he subtracts the average for group B from the average for group A. The distribution of the differences for all 100 simulations is shown in the histogram. 30 28 26 24 22 12 10 6. 2 Group A avg. - Group B avg. In the original experiment, the average for the treatment group was 0.8 higher than the average for the control group. Based on the 100 simulations, are the results of the experiment significant at the 5% level? yes no Number of simulations [-2.7, -2.2) [-2.2, -1.7) [-1.7, -1.2) [-1.2, -0.7) [-0.7, -0.2) [-0.2, 0.3) [0.3, 0.8) [0.8, 1.3) [1.3, 1.8) [1.8, 2.3) [2.3, 2.8)
Lynn University wants to examine whether students display better academic performance in class versus online. They have collected GPAs of two different samples of students, a sample from classes that take place in-person and a sample from classes that take place online. The data set is below. They predict that in-class students perform better than online students. GPA's In Class GPA Online GPA 4.0 4.0 3.5 2.2 3.7 3.3 3.5 3.7 2.0 2.5 3.2 3.8 3.3 3.8 What type of t-test should we use for this research question? Group of answer choices a) One sample b) Independent samples c) Paired Samples
The average house has 15 paintings on its walls. Is the mean larger for houses owned by teachers? The data show the results of a survey of 16 teachers who were asked how many paintings they have in their houses. Assume that the distribution of the population is normal. 18, 15, 17, 14, 16, 17, 18, 15, 15, 14, 14, 14, 15, 15, 16, 18 What can be concluded at the a = 0.05 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Но: Select an answer v H1: Select an answer v c. The test statistic ? v = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? va f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly more than 15 at a = 0.05, so there is sufficient evidence to conclude that the population mean number of paintings that are in…
A sample of 5 students were asked how much money they were carrying. These were their answers: $75, $2, $5, $0, $5. Why is the median more informative than the mean? The median is higher than the mean. O The mean is skewed by the outlier $75. O The mean is higher than the median. O The mean is skewed by the outlier $0.
The floor exercise is a commonly shared event between the Women’s and Men’s Artistic Gymnastics programs. Let’s compare the floor exercise scores of the female gymnasts and male gymnasts. To do this, we will consider the 2007, 2011, and 2015 results as sample data. Part B: Apparatus Finals Let’s now look at the floor exercise scores in the Female Apparatus Finals and in the Male Apparatus Finals. Female Apparatus Finals Score Male Apparatus Finals Score 15.25 14.35 14.85 14.05 14.2 14.05 13.95 13.95 13.65 13.85 13.3 13.4 12.7 12.8 0 11.55 14.6 13.6 14.45 13.4 14.2 13.35 13.55 13.1 13.25 13.1 12.85 13.05 11.8 12.7 11.25 12.4 15 13 14.9 12.7 14.45 12.65 14.3 12.65 13.7 12.6 13.55 12.25 13.45 12.15 13.15 12.05 i. Find the sample mean and sample standard deviation for the floor exercise scores in the Female Apparatus Finals. ii. Find the sample mean and sample standard deviation for the floor exercise scores in the Male Apparatus…
To study how well rats can learn, behavioral scientists used a sample of rats in a maze experiment. Each rat had to find itway through a maze to reach a treat at the end. The rat was timed on its first trial run and again on its tenth eighth trial run. The difference in the times was recorded for each rat. Which of the following is the most appropriate procedure for the scientists to use? A- A matched pair t-interval for a mean diffderence B- A two sample t interval for a difference between means C- a one sample t interval for a sample difference D-A one sample z interval for a population proportion E- A two sample z interval for a difference between proportions
The director of student services at Oxnard College is interested in whether women are less likely to attend orientation than men before they begin their coursework. Arandom sample of freshmen at Oxnard College were asked what their gender is and whether they attended orientation. The results of the survey are shown below: Data for Gender vs. Orientation Attendance Women Men Yes 335 No 314 392 344 What can be concluded at the a = 0.10 level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Select an answer Select an answer v (please enter a decimal and note that Họ: Select an answer p1 and ul represent the proportion and mean for women and p2 and µ2 represent the proportion and mean for men.) H1: Select an answer Select an answer Select an answer | (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ?a e. Based on this, we should Select an answer f.…
In each part, give the value of the standardized statistic (z-score) for the sample mean. 100, σ = 8, n = 4 (a) x = 88, μ = Z = (b) x = 88, μ = 100, σ = 8, n = 64 Z = (c) x = 10.63, μ = 10.0, σ = 7, n = 10,000 z =
Which of the measures of central tendency do you think you would use the most? Provide one (1) example. Explain what is meant by positive bias and negative bias in relation to the mean, mode, and median. If you were given a choice between the mean, median, or mode to calculate measures to make a decision about a set of data, which of the three measures would you use, and why?

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