A random sample of a-18 winter sport competition participants yielding a sample standarddievations=5 lar soares on a game in the first dayAssuming the scores are normally distributed, construct the 90% confidence interval for thepopulation variance

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.4 hours. Because of school closures due to COVID-19, the College Board offered an at-home test for the 2020 AP Statistics Exam. A teacher feels that students, on average, will have a different completion time for the at-home exam. They take a random sample of 25 students that took the exam and their mean time was 2.74 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 5% level of significance. Give answers to at least 4 decimal places. What are the correct hypotheses? Ho: M H₁: P Based on the hypotheses, find the following: Test Statistic t = Critical-Value t = ± 2.4 #v 2.4 o hours hours
A study was conducted that measured the total brain volume (TBV) (in mm³) of patients that had schizophrenia and patients that are considered normal. The first table contains the TBV of the non- schizophrenic patients and the second table contains the TBV of schizophrenia patients. Compute a 99% confidence interval for the difference in TBV of non-schizophrenic patients and patients with Schizophrenia. Prior studies say nothing about the equality of variances. Round to the nearest whole number. Total Brain Volume (in mm³) of Non-Schizophrenic Patients 1487997 1611227 1527495 1409812 1297379 1400278 1724615 1249097 1309037 1546157 1352710 1620645 1446958 1540957 1535216 1303042 1363737 1318121 1460479 1602502 1353583 1292976 1558222 1474289 1541397 1373993 1398046 1282528 1516312 1567897 1532468 1381812 Total Brain Volume (in mm³) of Schizophrenia Patients 1653156 1037545 1063003 1287704 1262253 1455977 1438274 1280706 1451005 1283081 1214368 1536994 1082431 1372061 1096716 1699683…
The mean time it takes a crew to restart an aluminum rolling mill after a failure is of interest. The crew was observed over 25 occasions, and the results were mean = 26 minutes and variance = 12 minutes. If repair time is normally distributed, (a) Find a 95% confidence interval on the true but unknown mean repair time. (b) Test the hypothesis that the true mean repair time is 30 minutes.
A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. After treatment with the drug, 16 subjects had a mean wake time of 94.6 min and a standard deviation of 44.4 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a90% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. Does the result indicate whether the treatment is effective?
Two groups of individuals were compared with respect to a high carbohydrate low- fat diet (LF) and a high-fat low carbohydrate diet (LC). Mood was assessed using a total mood disturbance score where a lower score is associated with a less negative mood. Assuming that the random samples come from independent normal distributions with a common but unknown variance, construct a 95% confidence interval for the difference between the two population means, LC less LF. Group LC LF 28+22.37 28+18.56 28+22.30 28±8.96 n 12 13 mean 47.3 19.3 standard deviation 28.3 25.8
The time to complete the Advanced Placement (AP) Statistics Exam in previous years is normally distributed with an average time of 2.6 hours. Because of school closures due to COVID-19, the College Board offered an at-home test for the 2020 AP Statistics Exam. A teacher feels that students, on average, will have a different completion time for the at-home exam. They take a random sample of 26 students that took the exam and their mean time was 2.73 hours with a standard deviation of 0.25 hours. Test to see if the mean time has significantly changed using a 5% level of significance. Give answers to at least 4 decimal places. What are the correct hypotheses? Ho: Select an answer ✓ H₁: Select an answer ✓ Test Statistic t = ? ✓ Critical-Value t = ± ? ✓ hours Based on the hypotheses, find the following: hours Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after…
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, 16 subjects had a mean wake time of 105.0 min. After treatment, the 16 subjects had a mean wake time of 95.3 min and a standard deviation of 23.5 min. Assume that the 16 sample values appear to be from a normally distributed population and construct a 99% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time of 105.0 min before the treatment? Does the drug appear to be effective?
From her firm's computer telephone log, an executive found that the mean length of 69 telephone calls during July was 4.91 minutes with a standard deviation of 5.93 minutes. She vowed to make an effort to reduce the length of calls. The August phone log showed 47 telephone calls whose mean was 2.868 minutes with a standard deviation of 2.840 minutes. (b-1) Obtain a test statistic tcalc and p-value assuming unequal variances. (Use the quick rule to determine degrees of freedom. Round your answers to 3 decimal places.) tcalc p-value
The maximum weights (in kilograms) for which one repetition of a half squat can be performed and the times (in seconds) to run a 10-meter sprint for 12 international soccer players are shown in the attached data table with a sample correlation coefficient r of -0.971. A 13th data point was added to the end of the data set for an international soccer player who can perform the half squat with a maximum of 210 kilograms and can sprint 10 meters in 2.01 seconds. Describe how this affects the correlation coefficient r. Use technology. Click the icon to view the data set. The new correlation coefficient r going from -0.971 to (Round to three decimal places a gets stronger, gets weaker, stays the same,

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A random sample of 18 winter sport competition participants yielding a sample standard dievation's=5 for soares on a game in the first day Assuming the scores are normally distributed, construct the 90% confidence interval for the population variance