9.The means and standard deviations of room rates for 50 billing statements fromeach of the computer database of the Marriot and Westin hotels are given in thefollowing table.MarriotWestinSample means16515030Sample standard deviations35Find a 98% confidence interval for the difference in the average room rates forthe Marriot and the Westin Hotels. Is there a possibility of no difference in theaverage room rates?(-30.19, 0.19); Yes(-30.19, 0.19); No(-27.78, -2.22); No(-31.82, 1.82); YesABCDA.B.C.D.

Given,For Marriot :sample size (n1) = 50sample mean (x̄1) = 150sample standard deviation (s1) =…

Answered: each of the computer database of the…

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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2. The Vice-Chancellor of a university is concerned that illicit drug use on campus is higher than the 5% acceptable level. A random sample of 140 students revealed that 5 of them had used illicit drug during the last 12 months. Construct a 90% confidence interval to estimate the true proportion of students who use illicit drug. Should the Vice-Chancellor be concerned?
The president of an all-female school wants to know if the students at her school studied more or less, on average, than the students at a neighboring all-male school. To find out, she conducted a study. Accordingly, samples were taken at each school with the following results: All female: sample size = 43, mean study time ( hours) = 18.56, standard deviation (hours) = 4.35 All male: sample size = 38, mean study time (hours) =17.95, standard deviation (hours) = 4.87 Calculate the 95% confidence interval for the differences between population means. Use brackets write the final answer [x.xx, x.xx]
If n = 340 and ˆpp^ (p-hat) = 0.6, construct a 95% confidence interval. According to the Oxnard College Student Success Committee report in the previous year, we believe that 21% of students struggle in their classes because they don't spend more than 8 hours studying independently outside of a 4-unit class. For this year, you would like to obtain a new sample to estimate the proportiton of all Oxnard students who struggle in their classes because they don't study enough outside of the classrooms. You would like to be 99% confident that your estimate is within 5% of the true population proportion. How large of a sample size is required? Do not round mid-calculation.
John randomly selects five students from the BMS 200 class, and collects data on the number of hours of sleep they got last night. From these data, he computes a 95% confidence interval as 6.42 + 2. i) What may he conclude from this interval?ii) In (i) above, what did John obtain as the sample mean and the sample standard deviation for his five data points?
4) a) The mean amount of time a random sample of 43 Americans 16 and older spent watching television each day is 3.2 hours and it is known the population standard deviation is 0.75 hour. Construct a 99% confidence interval for the population mean amount of time Americans 16 or older watch television. Interpret your result. b) If in the above scenario, a claim is made that the population mean number of hours Americans age 16 and older watch television is 3 hours per day. Would this claim be valid or invalid, based on the results in part (a)?
3. An educator wants to construct a 95% confidence interval for the proportion of elementary school children in Nevada who are proficient in reading. The results of a recent statewide test suggested that the proportion is 0.73. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error 0.05.
Suppose an economist wishes to estimate the mean commute time of workers in Westchester County. The economist obtains a random sample of 31 commutes in Westchester County and finds the sample mean to be 31.2 minutes and the sample standard deviation to be 12.1 minutes. Construct and interpret a 90% confidence interval for the mean commute time in Westchester County. Construct and interpret a 95% confidence interval for the mean commute time in Westchester County.
8. A mayor of a large city wants to know how long it takes the police in his city to respond to a call for service. In a random sample of 19 citizens who called the police for service, the mayor's research director found that the average response time was 440 seconds, with a standard deviation of 35 seconds. Construct a 97% confidence interval around your point estimate. What would you say to your mayor? 11.
Suppose that in a recent poll, 550 of the 915 randomly selected U.S. adults agreed with the statement “social media sites like Facebook and Twitter do more to divide the country” (as opposed to unite the country, or neither). a. Use this information to construct a 90% confidence interval.
A researcher constructed a 95 percent confidence interval for the mean number of alfalfa weevils on an alfalfa plantwithin a field. Based on 80 randomly selected alfalfa plants, the researcher found an average of 2.5 alfalfa weevilsper plant and computed the 95 percent confidence interval to be 1.50 to 3.50. Which of the following statements is acorrect interpretation of the 95 percent confidence level? (A)Approximately 95 percent of alfalfa fields sampled will have an average of 1.50 to 3.50 alfalfa weevilsper plant, but nothing can be said about the sample mean number of alfalfa weevils for this or any otherfield.(B)Approximately 95 percent of alfalfa fields sampled will have an average of 1.50 to 3.50 alfalfa weevilsper plant. The sample mean for this field was 2.50 alfalfa weevils per plant, but the sample means forother fields may be different.(C)If we repeatedly sampled this field, taking samples of 80 plants and constructing 95% confidenceintervals, then, approximately 95…
The Indian River County Economic Development Board needs to estimate the proportion of all county residents who have earned at least a bachelor's degree. A random sample conducted by the Indian River County Economic Development Board found that 28.7% of all county residents held at least a bachelor's degree. Find three different confidence intervals - one with sample size 387, one with sample size 556, and one with sample size 854. Assume that 28.7% of the county residents in each sample have earned at least a bachelor's degree. Notice how the sample size affects the margin of error and the width of the interval. Report confidence interval solutions using interval notation. Report all solutions in percent form, rounded to two decimal places, if necessary. When n=387 the margin of error for a 99% confidence interval is given by =When n=387, a 99% confidence interval is given by = When n=556, the margin of error for a 99% confidence interval is given by =When n=556, a 99% confidence…
Suppose that a random sample of eighteen recently sold houses ina certain city has a mean sales price of $295,000, with a standard deviation of $6000. Under the assumption that house prices are normally distributed, find the 95% confidence interval for the mean sales price of all houses in this community. Complete the following: A. What is the lower limit of the confidence interval? $ B. What is the upper limit of the confidence interval? $

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