EVALUATE THIS PROBLEM: (SHOW YOUR SOLUTION)1. The score of 120 SHS students in their First Quarterly Exam inStatistics and Probability were analyzed and found to have amean of 54.5 and standard deviation of 7.5. Find the pointestimate and a 90% confidence interval.2. The average height of randomly chosen 45 female students was155 cm. with standard deviation of 3.5 cm Find the pointestimate and the 95% confidence interval.

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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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At a large university, data were collected on the number of sisters and brothers that each student had. Let therandom variable X represent the number of sisters and the random variable Y represent the number ofbrothers. The distribution of X has mean 1.00 and standard deviation 0.94. The distribution of Y has mean1.07 and standard deviation 1.04. What is the mean of the distribution of X+Y? WHAT IS THE CORRECT ANSWER A. 1.98 B. 2.01 C. 2.04 D. 2.0528 E. 2.07
3
The use of chemicals is considered to increase the resistance to scratches during a painting process. The average durability was found to be 7.5 br and the standard deviation was found to be 1.5 br for the 15 parts painted using item A. The average durability was found to be 8.8 br and the standard deviation was found to be 1.2 br for the 12 parts painted using item B. What is the value of the test statistic calculated in the test that will be performed to determine which substance to choose? Determine it at the 99% confidence level with the assumption that the anacuttle variances are equal.Answer options group A)- 1,21 B) -4.68 C)- 3.26 D)-2.44
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
A quiz related to digital knowledge was conducted. The quiz had 10 questions and covered topics such as the purpose of browser cookies, phishing scams, and privacy policies. The survey was given to 50 people. The mean score is 4.1 with a standard deviation of 2.6. We want to know if the data provide evidence that the mean score in the population is lower than 5. We will use alpha = 0.05 to make our decision. part a. Is this a one-sided or two-sided test? part b. What is the standard error for this problem? part c. How many degrees of freedom do we have for this problem? part d. What is the test statistic, t, for this problem? Based on your test statistic and degrees of freedom, the p-value will be between what two values? (If you cannot find the exact df in the table, round down to be safe. So if you have 38 df, round down to 30df.) Group of answer choices The p-value is between .1 and .05 The p-value is between .05 and .025 The p-value is between .025 and .01 The p-value…
If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, what percent of the trees are above 82 cm? Select one: a. 0.3% O b. 82 O c. 3% O d. 0.15% Students at Roseville High School took an IQ test with a mean of 100 and a standard deviation of 15. Approximately, what percent of the students scored above 100? Answer: o represents the
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?
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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?
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?
B. Solve the following problems. 1. The mean number of hours a Filipino worker spends on the computer is 3.1 hours per workday. Assume the standard deviation is 0.5 hour and is normally distributed, how long does a worker spend on the computer if his z-score is 1.2? 2. Each month, a Filipino household generates an average of 28 pounds of newspaper for garbage or recycling. Assume the standard deviation is 2 pounds. Determine the z-score of a household that generates 22 pounds of newspaper. 3. The Candelaria Automobile Association reports that the average time it takes to respond to an emergency call is 30 minutes. Assume the variable is normally distributed and the standard deviation is 4.5 minutes. How long will a call be responded if it has a z-score of 0.75? d 4. The average monthly salary for newly - hired teachers is P21,945. If the distribution is approximately normal with a standard deviation of P3250. How much will a teacher earn in a month if his salary has a z-score of 1.15?

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