A random sample of 79 eighth-grade students' scores on a national mathematics assessment test has a mean score of 263. 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 260. Assume that the population standard deviation is 34. At α = 0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e).(a) Write the claim mathematically and identify \(H_0\) and \(H_a\). Choose the correct answer below.- A. \(H_0: \mu \geq 260\) (claim) \\ \(H_a: \mu < 260\)- B. \(H_0: \mu \leq 260\) \\ \(H_a: \mu > 260\) (claim)- C. \(H_0: \mu = 260\) (claim) \\ \(H_a: \mu > 260\)- D. \(H_0: \mu = 260\) \\ \(H_a: \mu > 260\) (claim)- E. \(H_0: \mu \leq 260\) \\ \(H_a: \mu > 260\)- F. \(H_0: \mu < 260\) \\ \(H_a: \mu \geq 260\) (claim)(b) Find the standardized test statistic \(z\), and its corresponding area.\(z = \_\_\_\_ \, \text{(Round to two decimal places as needed.)}\)(c) Find the P-value.P-value = \_\_\_\_ \, \text{(Round to three decimal places as needed.)}(d) Decide whether to reject or fail to reject the null hypothesis.- \( \bigcirc \) Fail to reject \(H_0\)- \( \bigcirc \) Reject \(H_0\)(e) Interpret your decision in the context of the original claim.At the 5% significance level, there \(\_\_\_\_\) enough evidence to \(\_\_\_\_\) the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.

Name: A random sample of 79 eighth-grade students' scores on a national mat
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: A random sample of 79 eighth-grade students' scores on a national mathematics assessment test has a mean score of 263. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam i

From the given information, let X be the eighth-grade students scores. Number of students are selected n = 79. Mean score selected students Population standard deviation Level of significance Claim: The mean score for the state’s eighth graders on this exam is more than 260. The null and alternative hypotheses are, Since, the alternative has greater than (>) symbol then it is a one tailed test (Right tailed test). Correct option: (E).Use the following formula to compute the test statistic:Compute the P-value.Decision rule: Reject the null hypothesis if the P-value is less than the level of significance. Conclusion: Since, the P-value, 0.218, is greater than the level of significance, 0.05. Thus, fail to reject the null hypothesis.At 5% significance level, there is not enough evidence to support the administrator’s claim that the mean score for the state’s eight graders on the exam is more than 260.

Math

Statistics

A random sample of 79 eighth grade students' scores on a national mathematics assessment test has a mean score of 263. 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 260. Assume that the population standard deviation is 34. At a = 0.05, 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. Ο Α. H : με 260 (claim) H:u< 260 O B. Ho: us260 (claim) H:p> 260 OC. Ho: = 260 (claim) H:u> 260 O E. Ho: us260 O D . H : μ 260 Ha:> 260 (claim) ΟΕ Hρ: μ< 260 H:u2 260 (claim) H:u> 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether reject or fail to reject the null hypothesis. O Fail to reject Ho O Reject Ho (e) Interpret your decision in the context of the original claim. At the 5% significance level, there V enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.

A random sample of 79 eighth grade students' scores on a national mathematics assessment test has a mean score of 263. 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 260. Assume that the population standard deviation is 34. At a = 0.05, 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. Ο Α. H : με 260 (claim) H:u< 260 O B. Ho: us260 (claim) H:p> 260 OC. Ho: = 260 (claim) H:u> 260 O E. Ho: us260 O D . H : μ 260 Ha:> 260 (claim) ΟΕ Hρ: μ< 260 H:u2 260 (claim) H:u> 260 (claim) (b) Find the standardized test statistic z, and its corresponding area. z= (Round to two decimal places as needed.) (c) Find the P-value. P-value = (Round to three decimal places as needed.) (d) Decide whether reject or fail to reject the null hypothesis. O Fail to reject Ho O Reject Ho (e) Interpret your decision in the context of the original claim. At the 5% significance level, there V enough evidence to V the administrator's claim that the mean score for the state's eighth graders on the exam is more than 260.

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

A group of students in experimental lab are wanting to see if the average psychology major at a university has the same level of psychological knowledge as the general population. They assess 31 psychology majors using an overall psychology assessment and calculate a mean score of 20.91 and a standard deviation of 1.63. They know the general population has a mean score on this test of 18.32. The students think that psychology majors will know more about psychology than the general population. Name the: 1) independent variable 2) scaling for independent variable 3) dependant variable 4) scaling for dependent variable Answer the following questions: 5) can random Selection be used, explain 6) can random assignment be used, explain 7) based on what you know what statistical test should the students use to examine their hypothesis? 8) why is that test most appropriate? 9) what are the assumptions of this test? 10) what is the Null and alternative hypothesis? 11) what is/are the…
A nationwide test taken by high school sophomores and juniors has 3 sections, each scored on a scale of 20 to 80. In a recent year, the national mean score for the writing section was 48.7, with a standard deviation of 10.6. Based on the information, complete the following statements about the distribution of the scores on the writing section for the recent year.
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is x = 71.0 beats per minute, and their standard deviation is s = 14.8 beats per minute. a. What is the difference between the pulse rate of 33 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 33 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 33 beats per minute significant? a. The difference is (Type an integer or a beats per minute. decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z = (Round to two decimal places as needed.) d. The lowest pulse rate is significantly high. significantly low. not significant. C
Miss Romero noted that the mean scores of a random sample of 15 Grade 8 students who had taken a special test was 80.5. If the standard deviation of the scores was 3.1, and the sample came from an approximately normal population, find the point and interval estimate of the population mean, using 95% confidence.
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 50.4with a standard deviation of 9.1 a. According to Chebyshev's theorem at least ? of the score lies between 3.2 and 68.6 b. According to Chebyshev's theorem at least 56% of the fares lies between ? and ? (Round your answer to 2 decimal places.)
3
part b please
.. .. ..
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats per minute, the mean of the listed pulse rates is x=73.0 beats per minute, and their standard deviation is s=20.5 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2and 2 to be neither significantly low nor significantly high, is the pulse rate of 37 beats per minute significant?
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 35 beats per minute, the mean of the listed pulse rates is x = 71.0 beats per minute, and their standard deviation is s= 14.2 beats per minute. a. What is the difference between the pulse rate of 35 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 35 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 35 beats per minute significant? a. The difference is beats per minute. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations, (Round to two decimal places as needed.) c. The z score is z=. (Round to two decimal places as needed.) d. The lowest pulse rate is
Use z scores to compare the given values. The tallest living man at one time had a height of 256cm. The shortest living man at that time had a height of 114.6 cm. Heights of men at that time had a mean of 174.87 cm and a standard deviation of 7.57 cm. Which of these two men had the height that was more extreme? Since the z score for the tallest man is z=____ and the z score for the shortest man is z=_____, the (Shortest/tallest) man had the height that was more extreme. (Round to two decimal places.)
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats perminute, the mean of the listed pulse rates is x=77.0 beats per minute, and their standard deviation is s=24.8 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 37 beats per minute significant?