Exercises 8.1Find the critical values for each.1.za/2 for the 90% confidence interval2.za/2 for the 92% confidence interval3. Za/2 for the 95% confidence interval4. za/2 for the 98% confidence intervalAnswer the following.5. The dean of a large university wishes to estimate the average age of students presentlyenrolled. From past studies, the standard deviation is known to be 2 years. A sample of50 students is selected, and the mean is found to be 19.2 years. Find the 99% confidenceinterval of the population mean.6. A sample of 50 days showed that a fastfood restaurant served an average of 182 customersduring lunch (11:00 AM 2:00 PM). The standard deviation of the sample is 8. Find the95% confidence interval for the mean.

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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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suppose a random sample of 25 observation from a normal population with standard deviation 6. Also the sample mean is 20. Find 90% confidence interval for the population mean.
The ages of registered voters in Smith County are normally distributed with a population standard deviation of 3 years and an unknown population mean. A random sample of 18 voters is taken and results in a sample mean of 55 years. Find the margin of error for a 95% confidence interval for the population mean. z0.10z0.10 z0.05z0.05 z0.025z0.025 z0.01z0.01 z0.005z0.005 1.282 1.645 1.960 2.326 2.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.
Lexi of Arm End insurance ,was hired to estimate the proportion of patients that had paid their Bill's on time. She took a random sample of 100 such patients and found that 85 of them had paid their Bill's on time. Help her find 96% confidence interval for population proportion. 1. What is the X and is the "n" sample size? What is the point estimate for the population proportion? 2 Estimate the 96% confidence interval for the proportion of people that paid their bills on time . 3 What is the standard error for the population proportion ? 4 The margin of error for the population proportion, is 4%
100 students take a test in 2018. The average score was 75 and the standard deviation of the final exams scores was 5. The following year (2019), the professor changed her teaching style, and then taught the class to 90 students, gave the same exam, and found an average score of 80 and a standard deviation of 8.. Compute the 95% confidence interval for the final exam score in ECON 540 for 2018. Interpret the interval.
Look at the confidence intervals described in the four options below. Then, imagine that for each of these confidence intervals, someone was to do a matching hypothesis test with the test value shown. On which of the four options do you predict that the matching hypothesis test would REJECT H0? Group of answer choices A confidence interval of -1.2 < µ1 - µ2 < +4.2, and has a test value of µ1 - µ2 = 0 A confidence interval of -4.2 < µ1 - µ2 < -1.2, and has a test value of µ1 - µ2 = 0 A confidence interval of -4.2 < µ1 - µ2 < +1.2, and has a test value of µ1 - µ2 = 0 A confidence interval of -3.5 < µ1 - µ2 < +3.5, and has a test value of µ1 - µ2 = 0
Find the value for each ta/2 Prompts Submitted Answers n = 18 for the 99% confidence interval for the Choose a match mean. n = 10 for the 90% confidence interval for the Choose a match mean. n = 15 for the 98% confidence interval for the Choose a match mean.
A random sample of 5 students was taken on the midterm exam score. It was recorded as {37, 40, 55, 80 and 98}. Suppose that the population size is very large. Answer the following questions.(a) Find 80% confidence interval for the population mean.(b) A confidence interval for the population mean was calculated as [36.878 , 87.122]. Find the confidence level of the interval.
Why should a confidence interval for p fall between (0, 1) while it makes sense for a confidence interval for Pi - p2 to fall between (-1, 1)?
A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x=920 and the sample standard deviation is s=25. Use Appendix D to find the values of student's t
The interval [40 50] represents a 90% confidence interval for a population mean. Which of the following is most likely to be the corresponding 95% confidence interval? (Hint: in a normal distribution, close to 90% of the values are within 1.65 standard deviations of the mean and close to 95% of the values are within 2 standard deviations of the mean) O A. [42 48] В. [36 54] OC. [40 54] D. [30 60]
Calculate the point estimate.

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Find the critical values for each. 1. a/2 for the 90% confidence interval 2. =a/2 for the 92% confidence interval 3. Za/2 4. Za/2 for the 95% confidence interval for the 98% confidence interval