3.37 In 2003, the average combined SAT score (math and verbal) for college-bound students in the United States was 1026. Suppose that approximately 45% of all high school graduates took this test and that 100 high school graduates are randomly selected from among all high school grads in the United States. Which of the following random variables has a distribution that can be approximated by a binomial distribution? Whenever possible, give the values for n and p. a The number of students who took the SAT b The scores of the 100 students in the sample c The number of students in the sample who scored above average on the SAT d The amount of time required by each student to complete the SAT e The number of female high school grads in the sample

3.37 In 2003, the average combined SAT score (math and verbal) for college-bound students in the United States was 1026. Suppose that approximately 45% of all high school graduates took this test and that 100 high school graduates are randomly selected from among all high school grads in the United States. Which of the following random variables has a distribution that can be approximated by a binomial distribution? Whenever possible, give the values for n and p. a The number of students who took the SAT b The scores of the 100 students in the sample c The number of students in the sample who scored above average on the SAT d The amount of time required by each student to complete the SAT e The number of female high school grads in the sample

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

Q3 A box contains 6 balls. Two are numbered 4, two are numbered 5, and two are numbered 6. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is repeated many times, find the variance (02) and standard deviation (o) of the numbers on the balls.
A travel company is investigating whether the average cost of a hotel stay in a certain city has increased over the past year. The company recorded the cost of a one-night stay for a Friday night in January of the current year and in the previous year for 31 hotels selected at random. The difference in cost (current year minus previous year) was calculated for each hotel. Which of the following is the appropriate test for the company’s investigation? A one-sample zz-test for a population mean A A one-sample tt-test for a sample mean B A one-sample zz-test for a population proportion C A matched-pairs tt-test for a mean difference D A two-sample tt-test for a difference between means E
You are interested in which job has the highest average salary. You decide to test if accountants, engineers, and lawyers have the same average starting salary. The collected data, in terms of thousands of dollars, is summarized in the table below. Accountants Engineers Lawyers ?n 37 27 41 ?⎯⎯⎯x¯ 76 81 58 ?s 4 3 2 Assume that we have independent simple random samples from each group and that the groups are normally distributed. (a) What is the appropriate test to use? (b) What are the null and alternative hypotheses? (c) What is the distribution of the test statistic?
Give the percent of scores between the mean and the z-value of normally distributed random variable. a 1) 1.25
A2
In a survey of 175 females who recently completed high school, 76% were enrolled in college. In a survey of 150 males who recently completed high school, 72% were enrolled in college. At a = 0.05, can you reject the claim that there is no difference in the proportion of college enrollees between the two groups? Assume the random samples are independent. Complete parts (a) through (e). O A. Ho: P1 #P2 Ha: P1 = P2 O B. Ho: P1 P2 OF. Ho: P1 = P2 O D. Ho: P1 > P2 Ha: P1 SP2 Ha: P1 O B. z 1.96 O D.
Problem Solving. Solve the following problems. No immediate rounding. Round off final answers to three decimal places. A protective enchantment which alerts the Charms professor when a death eater attacks a magical school is designed to have a 90% reliability rate. Suppose that the nine magical schools equipped with this enchantment experienced an attack from the death eaters. Define the random variable X as the number of Charms professors alerted out of nine. Assuming that protective enchantment alerts are independent 1. Write down the associated PMF of X. 2. Compute for the probability of alerting at least 7 Charms professors.
Which one of these variables is a continuous random variable? Oa. The number of tattoos a randomly selected person has. Ob. The number of correct guesses on a multiple choice test. The time it takes a randomly selected student to complete an exam. Od. The number of women taller than 68 inches in a random sample of 5 women O . None of these
Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.† An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 16 6 8 9 10 18 14 13 9 10 25 18 13 8 14 3 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hail. Assume that x has a normal distribution and σ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use ? = 0.01. (a) What is the level of significance? Compute the z value of the sample test statistic. (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
The number of automobiles sold by a dealership in a day is an example of The binomial random variable. b. A continuous random variable. c. The normal random variable. d. A discrete random variable.
Write about the role of box-and-plots in statistical random experiments. The double whisker plots of the homework time (in minutes) per night with TV time per night of the same group of the students are: a) What percent of the students work on homework for at least 48 minutes per night? b) What percent of the students watch TV for at least 15minutes per night? c) Is it more common for the students at this university to spend more than 1 hour on homework and more than 1 hour on watching TV also? Explain.