5.14 SAT scores: SAT scores of students at an Ivy League college are distributed with a standard deviation of 250 points. Two statistics students, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 25 points. (a) Raina wants to use a 90% condence interval. How large a sample should she collect? Raina should sample at least реople. (b) Luke wants to use a 99% condence interval. Without calculating the actual sample size, determine whether his sample should be larger or smaller than Raina's, and explain your reasoning. | smaller because higher degrees of confidence require smaller margins of error | smaller since Luke has a higher level of confidence in his results than Raina larger higher degrees of confidence require larger margins of error (c) Calculate the minimum required sample size for Luke. Luke should sample at least реople.

5.14 SAT scores: SAT scores of students at an Ivy League college are distributed with a standard deviation of 250 points. Two statistics students, Raina and Luke, want to estimate the average SAT score of students at this college as part of a class project. They want their margin of error to be no more than 25 points. (a) Raina wants to use a 90% condence interval. How large a sample should she collect? Raina should sample at least реople. (b) Luke wants to use a 99% condence interval. Without calculating the actual sample size, determine whether his sample should be larger or smaller than Raina's, and explain your reasoning. | smaller because higher degrees of confidence require smaller margins of error | smaller since Luke has a higher level of confidence in his results than Raina larger higher degrees of confidence require larger margins of error (c) Calculate the minimum required sample size for Luke. Luke should sample at least реople.

Name: 5.14 SAT scores: SAT scores of students at an Ivy Leaguecollege are d
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: 5.14 SAT scores: SAT scores of students at an Ivy Leaguecollege are distributed with a standard deviation of 250points. Two statistics students, Raina and Luke, want toestimate the average SAT score of students at this collegeas part of a class proj

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

Find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The prices of photo printers on a website are normally distributed with a mean of $238 and a standard deviation of $67. Random samples of size 33 are drawn from this population and the mean of each sample is determined.
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score on the test was 450 and the standard deviation was 50. If the board wants to set the passing scores so that only the top 5% of all applicants pass, what should the passing score be? Assume that the scores are normally distributed.
Consider the following data: −10, −10, 0, 3, −10, 3, 3 Step 1 of 3: Calculate the value of the sample Variance. Round your answer to one decimal place. Step 2 of 3: Calculate the value of the sample deviation. Round your answer to one decimal place. Step 3 of 3: Calculate the value of the range.
On an intelligence test, the mean number of raw items correct is 236 and the standard deviation is 39. What are the raw (actual) scores on the test for people with IQs of (a) 119, (b) 81, and (c)100? To do this problem, first figure the Z score for the particular IQ score; then use that Z score to find the raw score. Note that IQ scores have a mean of 100 and a standard deviation of 15. (a) What is the raw (actual) score on the test for people with an IQ of 119?
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1539 and the standard deviation was 315. The test scores of four students selected at random are 1940, 1290, 2240, and 1420. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.) The Z-score for 1290 is. (Round to two decimal places as needed.) The Z-score for 2240 is. (Round to two decimal places as needed.) The Z-score for 1420 is. (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The unusual value(s) is/are. CD (Use a comma to separate answers as needed.) OB. None of the values are unusual.
A. Sam's times varied more over the season that Mike's times. B. Sam's times varied about the same over the season as Brett's times. C. Brett's times varied more over the season than Mike's times. D. Mike's times varied more over the season than Brett's times.
Deanna is the principal at a Midwestern middle school and wants to know the average IQ of all female, seventh grade students. She does not know anything about what the population distribution looks like. She took a simple random sample of 31 seventh-grade girls in her school and found the average IQ score in her sample was 105.8 and the standard deviation was 15. Using the sample standard deviation above to estimate the population standard deviation, what is the minimum sample size needed for a 99.5% confidence interval to have a margin of error of no more than 2.3?
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1458 and the standard deviation was 312. The test scores of four students selected at random are 1860, 1220, 2150, and 1340. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1860 is (Round to two decimal plaes as needed.)
In class A, Jamir got 85 for his first test. Jamir's class mean was 75 and the standard deviation was 5.In class B, Laurabelle got 80 in her first test. Laurabelle's class mean was 50 and the standard deviation was 10.In a fair comparison of the two students in two different classes, who did better in his or her test. (Compare Jamir and Laurabelle's standing in their classes.Note Z-score gives that information.) Jamir Laurabelle Both did the same none of the above
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1506 and the standard deviation was 317. The test scores of four students selected at random are 1940, 1230, 2190, and 1400. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.)
3 In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6℉ with a standard deviation of 0.72 ℉. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 ℉. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the standard error? (round to nearest hundredth) What is the Z obt? (round to the nearest tenth)