The mean SAT score in mathematics, u, is 524. The standard deviation of these scores is 46. A special preparation course claims that its graduates will score higher, on average, than the mean score 524. A random sample of 100 students completed the course, and their mean SAT score in mathematics was 525. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 46. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H . Ho :0 Hị :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

The mean SAT score in mathematics, u, is 524. The standard deviation of these scores is 46. A special preparation course claims that its graduates will score higher, on average, than the mean score 524. A random sample of 100 students completed the course, and their mean SAT score in mathematics was 525. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course graduates is also 46. Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H . Ho :0 Hị :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O

Name: The mean SAT score in mathematics, µ, is 524. The standard deviation
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: The mean SAT score in mathematics, µ, is 524. The standard deviation of these scores is 46. A special preparation course claims that its graduates will scorehigher, on average, than the mean score 524. A random sample of 100 students completed the c

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

The tallest living man at one time had a height of 243 cm. The shortest living man at that time had a height of 127.5 cm. heights of men at that time had a mean of 170.52 cm and a standard deviation of 6.62. Which of these two men had the height that was more extreme? Use z scores
An IQ test has a mean of 96 and a standard deviation of 15. Which is more unusual, an IQ of 81 or an IQ of 120?
Two students were informed that they received standard z-scores of 0.9 and -0.5, respectively on a multiple-choice examination in Science. If their grades were 95 and 60, respectively, find the mean and standard deviation of the examination grades.
A survey reported that in a recent year, the mean serum cholesterol level in milligrams per deciliter for US adults was 204 with a standard deviation of 37. A random sample of 116 adults was chosen. Find the 33rd percentile of the sample mean.
A researcher believes the mean weight of males sulcata tortoises is more than 205 pounds. She samples 18 males sulcatas and find their mean to be 216.2 pounds with a standard deviation of 13.5pounds. Find the p-value p =
Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake isμ=19 inches. However, a survey reported that of a simple random sample of 38 fish caught, the mean length was 19.9 inches, with estimated standard deviation of 3.1 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is different from μ=19inches? Use α=0.001. What is the value of the test statistic? (Round your answer to two decimal places.)Find the P-value. (Round your answer to four decimal places.)
During 2003 gasoline prices reached record high prices in 16 states United States (The Wall Street Journal, March 7, 2003). Two of the states affected were California and Florida. The American Automobile Association foundas sample mean price per gallon $2.04 in California and $1.72 per gallon in Florida. Use 40 as the sample size for California and 35 as the sample size for Florida. Suppose that previous studies indicate that the population standard deviation in California it is 0.10 and in Florida 0.08.a) Test at the 10% level the null hypothesis that the population means of the gasoline prices are equal against the alternative hypothesis that, on average, Gasoline is more expensive in California than in Florida.b) Find the p-value of this test.
A local community college reported that the average SAT score of its students is 960 with a standard deviation of 82. If a student scored 975 on the SAT, what is the student's z score? Did the student do better or worse on the SAT compared to the average student in the college?
The mean weight of a Great Dane is 63.0 kg with a standard deviation of 2.3 kg. Suppose a researcher randomly samples 61 Great Danes and records the weights of the sampled dogs. Calculate the standard deviation of the mean, rounded to 2 decimal places
In the class of 2019, more than 1.6 million students took the SAT. The distribution of scores on the math section (out of 800) is approximately normal with a mean of 528 and standard deviation of 117. What proportion of students earned scores between 500 and 600 on the SAT math test?
The combined SAT scores for the students at a local high school are normally distributed with a mean of 1478 and a standard deviation of 292. The local college includes a minimum score of 689.6 in its admission requirements.What percentage of students from this school earn scores that satisfy the admission requirement?
A study of commuting times reports the travel times to work of a random sample of 1068 employed adults in Chicago. The mean is x = 54.0 minutes and the standard deviation is s = 60.9 minutes. What is the standard error of the mean?