A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts astate school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the populationstandard deviation is 36. At α = 0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).(a) Write the claim mathematically and identify H. and Ha. Choose the correct answer below.A. Ho: μ = 280 (claim)H₂:μ> 280D. Ho: μ≤280Ha: μ> 280 (claim)B. Ho: μ = 280Ha: μ> 280 (claim)E. Ho: μ≤280 (claim)Ha:μ>280C. Ho:μ ≥280 (claim)Hg: μ < 280F. Ho: μ< 280H₂:μ ≥280 (claim) Test the claim about the population mean µ at the level of significance a. Assume the population is normally distributed.Claim: μ<4915; α = 0.02 Sample statistics: x= 5017, s=5613, n = 54What are the null and alternative hypotheses?Ho:Ha:(Type integers or decimals. Do not round.)

Answer Given Mean =280Standard deviation =36sample size…

Answered: A random sample of 90 eighth grade…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 36. At α = 0.08, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and H₂. Choose the correct answer below. A. Ho: μ = 280 (claim) Ha:μ>280 Ho:μ≤280 Ha: μ> 280 (claim) B. Ho: μ = 280 P-value = (b) Find the standardized test statistic z. z = 2.11 (Round to two decimal places as needed.) (c) Find the P-value. E. Ho: μ≤280 (claim) Ha:μ>280 Ha: μ> 280 (claim) (Round to three decimal places as needed.) C. Ho: μ ≥280 (claim) Ha:μ< 280 F. Ho: μ< 280 H₂:μ ≥280 (claim)
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 47.6, with a standard deviation of 10.5. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. (a) According to Chebyshev's theorem, at least ▼(Choose one, 36%, 56%, 75%, 84%, or 89%) of the scores lie between 26.6 and 68.6. (b) According to Chebyshev's theorem, at least 36% of the scores lie between _ and _. (Round your answer to 1 decimal place.)
The mean score on a driving exam for a group of driver’s education students is 76 points, with a standard deviation of 6 points. Apply chebychev’s theorem to the data using K=2. Interpret, At least ___% of the exam score falls between ___and ____
Please explain in de
Claim: The mean systolic blood pressure of all healthy adults is less than 125 mm Hg. Sample data: For 261 healthy adults, the mean systolic blood pressure level is 121.18 mm Hg and the standard deviation is 15.97 mm Hg. a. Express the original claim in symbolic form. Let the parameter represent a value with respect to systolic blood pressure of a healthy adult. B. Identify the null and alternative hypotheses.
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80 . In a recent year, the national mean score for the writing section was 48.4 , with a standard deviation of 9.1 . Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. (a) According to Chebyshev's theorem, at least ?56%75%84%89% of the scores lie between 30.2 and 66.6 . (b) According to Chebyshev's theorem, at least 8/9 (about 89%) of the scores lie between and . (Round your answer to 1 decimal place.) (c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the scores lie between and . (d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ?68%75%95%99.7% of the scores lie between 30.2 and 66.6 .
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 47.4, with a standard deviation of 9.2. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. (a) According to Chebyshev's theorem, at least (Choose one) of the scores lie between 29.0 and 65.8. (b) According to Chebyshev's theorem, at least (Choose one) ▼ scores lie between 33.6 and 61.2. of the X 3 4
A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 278. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 34. At a = 0.15, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O C. Ho: µ2 270 (claim) Ha: H 270 O F. Ho: H= 270 Ha: H> 270 (claim) O E. Ho: us270 O D. Ho: H= 270 (claim) Ha: H> 270 Ha: µ> 270 (claim) (b) Find the standardized test statistic z, and its corresponding area. (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.)
A nationwide test taken by high school sophomores and juniors has three sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 50.2, with a standard deviation of 9.4. Based on this information, complete the following statements about the distribution of the scores on the writing section for the recent year. (a)According to Chebyshev's theorem, at least of the scores lie between 31.4and 69.0. (b)According to Chebyshev's theorem, at least ▼(Choose one) of the scores lie between 22 and 78.4. The answers will be one of these percents 36,56,75,84,89

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