1. What is the quantile for significance level 0.1 and0.01 in both two and one tailed test?2. A principal at a school claims that the studentsin his school are above average intelligence. Arandom sample of thirty students' IQ scores have amean score of 112.5. Is there sufficient evidence tosupport the principal's claim? The average IQis 100 with a standard deviation of 15. Use a = 0.05

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Answered: 2. A principal at a school claims that…

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 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?
The weights for newborn babies is approx normally distributed with a mean of 6.1 pounds and a standard deviation of 1.8 pounds. use the cumulative Z-score table to answer the following questions. Write your answers rounded to the nearest whole number. consider a group of 1700 newborn babies: How many would you expect to weigh between 7.36 and 8.62 pounds? How many would you expect to weigh less than 3.76 pounds? How many would you expect to weight more than 5.65 pounds? How many would you expect to weight between 6.1 and 7 pounds?
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 mean score for first exam in your first organic chemistry class (section A) was 60, with a standard deviation of 5. Your score on the exam was 70. A. How many standard deviations above the mean is your score?
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.
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?
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation 19.3. Find the first quartile Q1,which is the IQ score separating the bottom 25% from the top 75%. The first quartile is?
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?
Use z scores to compare the given values. The tallest living man at one time had a height of 245 cm. The shortest living man at that time had a height of 60.8 cm. Heights of men at that time had a mean of 173.94 cm and a standard deviation of 6.92 cm. Which of these two men had the height that was more extreme?

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