A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. Thistest result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is morethan 275. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator'sclaim? Complete parts (a) through (e)......(a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below.A. Ho: μ 275Ha: H> 275 (claim)B. Ho: µs275 (claim)Hạ: µ> 275c. H0: μ< 275Ha: µ2 275 (claim)D. Ho: µ= 275 (claim)Ha: µ> 275E. Ho: μ= 275Ha: µ > 275 (claim)F. Ho: µ2 275 (claim)Hai µ<275(b) Find the standardized test statistic z, and its corresponding area.(Round to two decimal places as needed.)

Answer - Given Sample size n = 88, sample mean x = 281 and The population…

Answered: A random sample of 88 eighth grade…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A statistics instructor claims that the mean score for all students on the first statistics exam is above 75. To test this claim, 20 students are selected at random. Their scores from the first exam had a mean of 78.2 with a standard deviation of 14.25. Test the claim that the mean score for all students on the first statistics exam is above 75. Use a = 0.01. Answer the following questions. a. Identify the claim and state the Ho and H1. b. Find the critical value. c. Calculate the test statistic. d. Make a decision to reject or fail to reject the Ho. e. Interpret the decision.
Assume that the test scores for biostatistics midterm examination are normally distributed with a mean of 74 and a standard deviation of 10. i. Suppose that you receive a score of 88. What percent of the class received scores higher than yours? ii. Suppose that the teacher wants to limit the number of A grades in the class to no more than 20%. What would be the lowest score for an A?
b. In a class of twenty-five 15-year old girls the average height is M = 62.60 inches. The national average for girls at this age is reported as follows: µ = 63.80 inches with a standard deviation, s = 2.66 inches. Compute z score
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?
2. Alfred scored 82 in a quiz in English for which the average Score of the class was 75 with a standard deviation of 10. He also took a quiz in Statistics and scored 70 for which the average score of the class was 55, and the standard deviation was 14. Relative to other students in the class, did Alfred do better in English or Statistics?
The president of a college wants to determine the mean number of units that college students take per semester. How large of a sample is required in order to be 99% sure that a sample mean will be off by no more than 1.25 units? An initial study suggested that the standard deviation is approximately 2.1 units.
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?
I gave a sample of college students a measure of anxiety. the distribution has a sample mean of 25 with a standard deviation of 8. a. what would viviana's z-score be if she scored 41? b. what would Kwame's score be if he scored 21? and What proportion of the distribution for this sample scored below Viviana's score?
On the PSAT test taken by about 1.5 million high school juniors each year, the mean score on the reading portion of the test was 46.9, with a standard deviation of 10.9. The scores are normally distributed. If a student needed a score on this portion of the test that put them in the top 5% of scores nationally to qualify for a particular scholarship, what is the minimum score they must achieve? 24.
According to the Annual survey of drugs expenditure in country X, the annual expenditure forprescription drugs is $838 per person in the Northeast region of the country. A sample of 60 individualsin the Midwest shows a per person expenditure for prescription drugs of $745. Further, it is given thatthe population standard deviation of $300 Make the final conclusion based on the analysis
A previous study found that the students' scores in a national examination in 2020 are normally distributed with mean 74 and standard deviation 3.5. a. What percentage of students got a score of at least 80? b. Given the total number of examinees is 2500, how many got a score of at least 80?
A statistics professor announces that 15% of the grades he gives are As. The results of the final examinations indicate that the mean score is 83, with a standard deviation of 6. What minimum score must a student get to receive an A?

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS