A travel magazine conducts an annual survey where readers rate their favorite cruise ship. Ships are rated on a10 point scale, with higher values indicating better service. A sample of 55 ships that carry fewer than 500passengers resulted in a average rating of 6.36 with standard deviation 0.88. A sample of 35 ships that carrymore than 500 passengers resulted in an average rating of 6.65 with standard deviation 0.69.Give a 99.9% confidence interval of the difference between the population mean ratings for smaller ships andthe population mean ratings for larger ships. (Note, the order of subtraction matters...look at the wordingcarefully.)HRounded to 2 decimal places.Interpret the meaning of the interval within context.

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Answered: A travel magazine conducts an annual…

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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The police department estimated the average speed of cars along boul. St. Jean. With hidden radar, the speed of a random selection of 44 cars was measured. It yielded a sample mean of 53 km per/hr and a sample standard deviation of 5.9 km per/hr. What is the 99.9% confidence interval for the average speed of all cars driving on boul. St. Jean?
On the Stanford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 92 and a standard deviation of 6.92. What is the standard error of the 90% confidence interval of the average IQ of the kindergarten pupils?
A study of 96 bolts of carpet showed that their average length was 77.5 yards. The standard deviation of the population is 1.6 yards. Which of the following is the 90% confidence interval for the mean length per bolt of carpet?
An farmer is convinced that the weighing instrument for palay had a variability measured by standard deviation equal to 2. He recorded the measurements 4.1, 6.5, 5.2 and 10.2. Do these data confirm or disprove his assertion? Use a 95% confidence level.
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers provides a mean of 6.34 and a standard deviation of 2.163. Develop a 95% confidence interval estimate of the population mean rating for Miami.
In a sample of 10 randomly selected black bears from northeast Pennsylvania, the sample mean was 214.1 pounds and the sample standard deviation was 51.1 pounds. Construct a 99% confidence interval estimate for the population standard deviation of all black bears in this region.
A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company. Find the minimum sample size needed in order to construct a 95% confidence interval for the mean weight of such salmon, to within 0.30 pounds. Assume that the standard deviation of 3.10.
A sample of 12 suburban hotels showed that the mean revenue is $1117. It is known that the standard deviation is $121.8. Construct the 90% confidence interval for the true average revenue of all suburban hotels.
in a test of the effectiveness of garlic for lowering cholesterol, 43 subjects were treated with garlic in a processed tablet form. Cholesterol levels were measured before and after the treatment. The changes in their levels of LDL cholesterol have a mean of 5.7 and a standard deviation of 17.7. Construct a 99% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment. What does the confidence interval suggest about the effectiveness of garlic and reducing LDL cholesterol?
A statistician selected sample of 16 accounts reviewable and determined the mean of the sample to be $5,000 with a standard deviation of $400. She reported that the sample information indicated the mean of the population ranges from $4,739.80 to $5,260.20. She did not report what confidence coefficient she has used. Based on the above information, determine the confidence coefficient that was used.
A hospital is trying to cut down on emergency room wait times. An investigation committee randomly surveyed 72 patients. The sample mean was 1.8 hours with a sample standard deviation of 0.51 hours. Construct a 90% confidence interval for the time spent waiting.
After a sewer spill into a lake, an environmentalist wanted to test to see if the water was safe (mean bacteria count per unit volume of water is less than 200). Ten samples along different locations of the lake resulted in a sample mean of 192.7 and a sample standard deviation of 10.81. 2. a. Construct a 95% confidence interval for the mean.

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