Listed below are the summaries of the scores of two basketball players comingfromtwo competing teams in the finals in the 20 games they played during theentire season.Who is more consistent?Player 1Player 2Mean2323Standard Deviation4.943.13The players are equally consistent since they have the same mean scores.Player 2 is more consistent than Player 1 since Player 2 has a lower standarddeviation.Player 1 is more consistent than Player 2 since Player 2 has a lower standarddeviation.Player 2 is more consistent than Player 1 since Player 1 has a lower standarddeviation. Listed below are the summaries of the scores of two basketball players comingfromtwo competing teams in the finals in the 20 games they played during theentire season.Who is the better player in terms of the scores?Player 1Player 2Mean2323Standard Deviation4.943.13No conclusion can be made on who scores better, since the mean scores are equal.Player 2 scores better than Player 1 since Player 1 has a higher standard deviation.Player 1 scores better than Player 2 since Player 1 has a higher standard deviation.Player 1 scores better than Player 2 since Player 2 has a lower standard deviation.

Given that For player 1 x̄ = 23 , ? = 4.94 For player 2 x̄ = 23 , ? =3.13

Answered: from two competing teams in the finals…

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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12 Kimberly and Alexis began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Kimberly took a test in Math and earned a 76.4, and Alexis took a test in Social Studies and earned a 63.2. Use the fact that all the students' test grades in the Math class had a mean of 76.8 and a standard deviation of 9.9, and all the students' test grades in Social Studies had a mean of 62.6 and a standard deviation of 9 to answer the following questions.a) Calculate the z-score for Kimberly's test grade.z= [Round your answer to two decimal places.]b) Calculate the z-score for Alexis's test grade.
Suppose Professor Alpha and Professor Omega each teach Introductory Biology. You need to decide which professor to take the class from and have just completed your Introductory Statistics course. Records obtained from past students indicate that students in Professor Alpha's class have a mean score of 80% with a standard deviation of 5%, while past students in Professor Omega's Class have a mean score of 80% with a standard deviation of 10%. Decide which instructor to take for Introductory Biology using a statistical argument.
Help with finding Pvalue & test statistic
12. (Two Samples) According to a survey, the mean price of gasoline in the United States was $1.20 per gallon in 1995 and $1.10 per gallon in 1994. (U.S. News & World Report, June 12, 1995). Suppose these means were based on random samples of 100 gasoline stations for 1995 and 120 gasoline stations for 1994. Also, assume that the sample standard deviations were $0.11 for 1995 and $0.10 for 1994. a. Construct a 98% confidence interval for the difference between the mean gasoline prices for 1995 & 1994. b. Test at the 1% significance level if the mean gasoline price was higher in 1995 than in 1994.
Team A: 6,6,7,7,6,5,6,5,4,5 Team B: 2,2,3,8,9,9,9,9,10,10 a. Compute the mean number of shots made for each team b. Compute the standard deviation for each team c. Compute a Z-score for the individual from team A that made 4 shots d. Compute a Z-score for the individual from team B who made 10 shots e. Using non-statistical language, write several sentences describing the difference in the free-throw shooting abilities between the two teams
Logan and Brian began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Logan took a test in Art History and earned a 76.8, and Brian took a test in English and earned a 68.9. Use the fact that all the students' test grades in the Art History class had a mean of 71.9 and a standard deviation of 11.6, and all the students' test grades in English had a mean of 61 and a standard deviation of 9.4 to answer the following questions.a) Calculate the z-score for Logan's test grade.z=z= [Round your answer to two decimal places.] b) Calculate the z-score for Brian's test grade.z=z= [Round your answer to two decimal places.]c) Which person did relatively better? Logan Brian They did equally well.
5: What is the variance of the following set of scores? 8, 8, 8, 8, 8
Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all recently took a statistics exam and the exam scores were normally distributed in each of their classes. • Lucille's class had an average grade of 78 and the standard deviation was 7. Lucille earned 83.95 on the exam. • Rocio's class had an average grade of 82 and the standard deviation was 3. Rocio earned 86.5 on the exam. • Cristina's class had an average grade of 76 and the standard deviation was 4. Cristina earmed 82.8 on the exam. Since some professors give harder exams than others, these students decided to use statistics to figure out who did the best on their exam. Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places. Hint • Lucille's score places her above % of her class. • Rocio's score places her above % of her class. • Cristina's score places her above % of her class.
An article in a local town newspaper discusses the results of state test scores in their town. The reporter headlines, "The students in this town don't have the necessary skills. The overall student population is less than what is reported at the state level" The state test says that a score of 261 or higher on its test reflects the student has the skills needed to graduate. A local town newspaper conducted a random sample of 200 students and found the mean to be 257 and a standard deviation of 41 points. a. State the null (H0) and alternative (Ha) hypotheses. b. Give the standard score for the data. c. Find the P-value for this significance test. e. Sketch your results on the standard Normal distribution f. Summarize the conclusion in the context of this problem.
Justin and Robbie are golfers. The distribution of Justin's golf scores has a mean of 225 and a standard deviation of 25. Robbie's golf score distribution has a mean of 240 and a standard deviation of 15. Both distributions are approximately normal and they are completely independent of each other. What is the closest probability that Justin will have a higher golf score than Robbie in a randomly selected golf round?
Two groups of students took the same test. Group A is having a mean of 60 marks and a standard deviation of 5 markS. Group B is having a mean of 60 marks and a standard deviation of 10 marks. Which of the statements below is correct? A. Group A students have a wider spread in performance than that in group B B. Group B students have a wider spread in performance than that in group A C. Group A students have the same spread in performance than that in group B D. None of the above A
Give two sets of five numbers that have the same mean but different standard deviations. OSet 1: 4, 5, 7, 8, 11 Set 2: 3, 6, 7, 9, 10 OSet 1: 2, 4, 6, 8, 10 Set 2: 3, 4, 5, 7, 11 OSet 1: 4, 6, 7, 8, 15 Set 2: 3, 6, 7, 10, 14 OSet 1: 2, 3, 7, 11, 12 Set 2: 5, 6, 7, 8, 9 CSet 1: 3, 4, 6, 9, 13 Set 2: 2, 5, 7, 8, 13 Give two sets of five numbers that have the same standard devlation but different means. OSet1: 2, 5, 7, 12, 14 Set2: 5, 6, 7, 8, 9 CSet 1: 2, 3, 4, 5, 6 Set 2: 4, 5, 6, 7, 8 CSeti: 2, 5, 6, 10, 12 Set2: 5, 6, 7, 10, 12 CSeti: 2, 3, 5, 7, 8 Set2: 4, 6, 7, 11, 12 CSet1: 4, 5, 6, 12, 13 Set2: 4, 5, 7, 9, 10

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