3. a. The mean of a sample of 25 was calculated as =500. The sample was randomly drawnfrom a population with standard deviation of 15. Estimate the population mean with 99%confidence.b. Repeat part (a) changing the population standard deviation to 30c. Repeat part (a) changing the population standard deviation to 60d. Describe what happens to the confidence interval estimate when the standard deviationis increased

Answered: 3. a. The mean of a sample of 25 was…

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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COMPUTE FOR THE MARGIN OF ERROR OF THE FOLLOWING AND SHOW THE STEP-BY-STEP SOLUTION. 1. Confidence level = 99%, standard deviation (s) = 25, sample size (n) = 300 FILL IN THE TABLE WITH SOLUTIONS. STEPS SOLUTION STEP 1: STEP 2: STEP 3: STEP 4: STEP 5: Margin of Error: Conclusion:
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
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 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?
You are conducting an experiment to examine the anxiety level of a group of Design Technology students. The population standard deviation o=4.8. You compute the mean and standard deviation of your sample and find that sample mean = 25.9 and sample standard deviation s = 5.3. What is the standard error of the sample mean if your sample size is 36? Give your answer to 2 decimal places.
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?
10. A researcher claims that the mean monthly consumption of coffee per person is more than 19 cups. In a sample of 60 random selected people, the mean monthly consumption was 20. The standard deviation of the sample was 4 cups. Which is the parameter to be tested in this claim? A. sample of 60 randomly selected people B. mean consumption of 60 selected people C. the mean consumption of coffee per person D. the standard deviation of the sample which was 4 cups ATE aITATE tho hirth weight of the babies will increase. The average birth
A dentist wants to estimate the average number of patients coming into her clinic each day. She estimates the standard deviation is 6 patients per day. If she wants to use a random sample of previous days for her sample, how many days should she include to be 95% sure her estimate is off by no more than 0.3 patients per day?
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?
Q7 A researcher wants to estimate the mean income of all physicians in a city at a 95% confidence level. The standard deviation of the incomes of all physicians in this city is RM17,500. What sample size is required to obtain an estimate that is within RM5000 of the population mean?
Can someone explain the formulas used in these type of questions and where each number belongs in the formula The average size of a farm in Texas is 185 acres. The average size of a farm in Kansas is 220 acres. Assume that the data were obtained from two samples with standard deviations of 40 and 15 acres, respectively, and a sample size of 10 and 12, respectively. Can it be concluded with a=0.05 that the average size of the farms in the two states is different? Assume that the population is normally distributed.

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