EsSAT coaching: A sample of 10 students took a class designed to improve their SAT math scores. Following are their scores before and after the class.BeforeAfter383420334368378396467488470489473473440466481482459455399404Send data to ExcelPart: 0 / 2Part 1 of 2(a) Construct a 99% confidence interval for the mean increase in scores after the class. Let d represent the SAT score after taking the class minus the SATscore before. Use tables to find the critical value and round the answers to at least one decimal place.O<",

Given : After ,x :420 368 396 488 489 473 466 482 455 ,404 Before,y :…

Answered: Part 1 of 2 (a) Construct a 99%…

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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Why do we use a t-distribution to compute confidence intervals for population means?
One year, the mean age of an inmate on death row was 40.5 years. A sociologist wondered whether the mean age of a death-row inmate has changed since then. She randomly selects 32 death-row inmates and finds that their mean age is 39.4, with a standard deviation of 9.5. Construct a 95% confidence interval about the mean age. What does the interval imply? Question Help v E Click the icon to view the table of critical t-values. Choose the correct hypotheses. Ho: O Table of Critical t-Values %3D H: (Type integers or decimals. Do not round.) Area in vight tail -Distribution Area in Right Tail Degrees of Freedom 0.25 0.20 0.15 0.10 0.05 0.025 0.02 001 0.005 0.0025 0.001 0.0005 1.000 1.376 1.061 0.978 0.941 0.920 1.963 1.386 1.250 1190 1.156 3.078 1886 1638 1.533 1476 6.314 12.706 15.894 4849 3.482 2.999 2.757 2.612 2.517 2.449 2.398 2.359 2.328 2.303 2282 2.264 2.249 31821 63657 6.965 4.541 3.747 3.365 127321 318.309 636.619 22.327 10.215 Z173 5.893 5.208 4.785 4.501 4.297 4.144 2 0816 0.765…
You want to estimate the mean weight of quarters in circulation. A sample of 60 quarters has a mean weight of 5.682 grams and a standard deviation of 0.061 gram. Use a single value to estimate the mean weight of all quarters. Also, find the 95% confidence interval for the average weight of all quarters. The estimate for the mean weight of all quarters is (Round to three decimal places as needed.) grams. Find the 95% confidence interval for the mean weight of all quarters. grams < p< grams (Round to three decimal places as needed.)
A doctor tests a claim that an average adult above 50 consumes no more than 3-1/2 pills per day. Standard Dev is 0.7. A sample of 45 adults avg 3.72 per day. Test the claim. -Standard Dev of sample mean -Z-score for sample mean -P-Value
a. Use a = 0.10 to test for a statistically significantly difference between the population means for first- and fourth-round scores. What is the p-value? t-value (to 3 decimals) Degrees of freedom p-value is greater than 0.20 What is your conclusion? There is no significant difference between the mean scores for the first and final rounds. b. What is the point estimate of the difference between the two population means? (to 2 decimals) For which round is the population mean score lower? First round c. What is the margin of error for a 90% confidence interval estimate for the difference between the population means? (to 3 decimals) Could this confidence interval have been used to test the hypothesis in part (a)? Yes Explain. Use the point of the difference between the two population means and add and subtract this MOE. If zero is in the interval the difference is not statistically significant. If zero is not in the interval the difference is statistically significant.
I want to estimate the population mean number of times that adults eat breakfast in a week. I spoke with 12 coworkers, and the numbers were 7, 5, 5, 7, 2, 3, 7, 5, 1, 0, 7, 6. Calculate a 95% confidence interval for the population mean (round 3 decimal places).
You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly more than 0.52. You use a significance level of a = 0.05. Ho:p = 0.52 H1:p> 0.52 You obtain a sample of size n = 556 in which there are 308 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) a greater than a This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that. There is sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more than 0.52. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is more…
Salma claimed that the gas price in Blue Park neighborhood (mean of $3.65) is higher than that in Green Spring (mean of $3.59). She obtained the t-value of 2.223 after calculating data from 6 gas stations in Blue Park and 5 gas stations in Green Spring. Use the chart below and determine if Salma's claim is supported! Table 10-3. Critical values of "t" significance level p= 0.05 significance level p= 0.01 TP 1 12.706 63.657 2 4.303 9.925 3 3.182 5.841 2.776 4.604 5 2.571 4.032 6 2.447 3.707 7 2.365 3.499 2.306 3.355 9 2.262 3.250 10 2.228 3.169 11 2.201 3.106 Copy the following into your text box, fill in the blanks, and answer the questions A. The degree of freedom is: B. The t-calculated value is: and the t-critical value is : C. Comparison: t-calc t-crit (answer with ()) D. Is the null hypothesis accepted or rejected? Explain how you determined that! Also, explain what it means to reject or accept the hypothesis! E. Explain if Salma's claim is supported based on your t-value…
Match to the appropriate answer. You will not use all options and you may not use each option more than once. Dummy variable Coefficient (beta) Correlation coefficient Heteroscedasticity p-value R² + Residual A. Used with categorical variable B. Lower value means statistical significance at a higher confidence level. C. When the distribution of residuals does change as the independent variable changes. D. Higher value means statistical significance at a higher confidence level. E. Difference between the predicted and observed values. F. When the distribution of residuals does not change as the independent variable changes. G. Min=-1, Max=1 H. Min-0, Max=1 1. Used to determine how much dependent variables changes if independent variable changed.
Using the t-table, find the critical value for a left-tailed test with a significance level of 10% and a sample size of 25.
True or False A 95% confidence level in a mean number of minutes that it takes for an amublance to arrive after a 911 call is (4.2, 7.4). Then there is 95% chance that a randomly selected emergency will have an ambulance response time between 4.2 and 7.4 minutes.
The accompanying data represent the running times of files produced by two motion-picture companies. Assume that the running-time differences are approximately normally distributed. Construct a 90% confidence interval for 90% confidence interval for μ - μ were created, should it be assumed that o² = = If a Company | 106 96 105 Time (minutes) 91 99 II 101 78 123 89 171 89 120 Click here to view page 1 of the table of critical values of the F-distribution, for alpha = 0.05. Click here to view page 2 of the table of critical values of the F-distribution, for alpha = 0.05. The confidence interval is < (Round to three decimal places as needed.)

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