Please Solve In 15mins I will Thumbs-up Question 12 of 20View PolichsCurrent Attempt in ProgressStandard Error from a Formula and a Bootstrap DistributionUse Statkey or other technology to generate a bootstrap distribution of sample proportions and find the standard error for thatdistribution. Compare the result to the standard error given by the Central Limit Theorem, using the sample proportion as an estimateof the population proportion pProportion of peanuts in mixed nuts, withn = 90 and p = 0.56.Click here to acces Statkey.Round your answer for the bootstrap SE to two decimal places, and your answer for the formula SE to three decimal places.Bootstrap SE =Formula SE=eTextbook and Media

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question 19 A manufacture makes light-weight sneakers, and claim that the average weight of one sneaker is no bigger than 2 pounds. To verify this claim, a sample of 9 sneakers are weighed, and the sample mean is 2.4 pounds with the sample variance of 0.25 pounds^2. Assuming the weights of sneakers are normally distributed, we would like to test the claim of the manufacture at 10% level of significance. Please select the correct statement from below:
Question 2. A random sample of 22 values was selected from a population and the sample standarddeviation was computed to be 340. Based on this sample result, compute a 90% confidenceinterval estimate for the true population standard deviation. Question 3. Two samples of sizes 15 and 16 are drawn from two normally distributed populations havingmeans of 16 and 11, respectively. If the sample variances are 6 and 5, determine whether the firstsample has significantly lower variance than the second sample at 0.025 significance level
QUESTION 5 Two different hardening processes, namely saltwater quenching and oil quenching are used onsamples of a particular type of metal alloy. The hardness (in N/mn2) results are shown in Table 4.Assume that hardness is normally distributed. Calculate the 98% confidence interval for the ratioof two population variances for two different hardening processes saltwater quenching and oilquenching. Interpret the result. Table 4Saltwater Quenching Oil Quenching145 152150 150153 147148 155141 140152 146146 158154 152139 151148 143
Question # 19. With individual lines at its various windows, a post office finds that the standard deviation for waiting times for customers on Friday afternoon is 7.2 minutes. The post office experiments with a single, main waiting line and finds that for a random sample of 25 customers, the waiting times for customers have a standard deviation of 3.5 minutes on a Friday afternoon. With a significance level of 5%, test the claim that a single line causes lower variation among waiting times for customers
Question 18 A quality-assurance inspector periodically examines the output of a machine to determine whether it is properly adjusted. When set properly, the machine produces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. If the null and alternative hypotheses can be used to conclude that the machine is adjusted properly, at 15% level of significance, what is your conclusion? There is enough evidence to support the claim There is no enough evidence to support the claim There is enough evidence to reject the claim There is no enough evidence to reject the claim
Question 1In 2002, the average duration of incoming telephone calls to a furniture store was 9.4minutes. The manager wants to perform a test to determine whether this average durationof incoming calls has changed. Twenty calls to the store was randomly selected and themean duration was 10.2 minutes with standard deviation 4.8 minutes. Assuming that theduration of incoming telephone calls to a furniture store is normally distributed,a) Using a 1% level of significance, test whether the mean duration of incoming calls tothe store had changed. b) Construct the 95% confidence interval for the population mean duration of theincoming calls to the furniture store.
Question 2. The number of computer malfunctions per day is recorded for 600 as follows:# of malfunctions Frequency0 1501 502 1503 or more 250 total Test the goodness of fit for an appropriate model that could be Poisson distributed with a meanof 1.5 malfunctions per day. Conduct the appropriate hypothesis test using a significance levelequal to 0.05. Interpret the results
Question 21 A quality-assurance inspector periodically examines the output of a machine to determine whether it is properly adjusted. When set properly, the machine produces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. If the null and alternative hypotheses can be used to conclude that the machine is adjusted properly, at 15% level of significance, do you reject or fail reject H0? Reject H0 because Z-statistic is greater than z-critical Reject H0 because Z-critical is more than 1.435 Reject H0 because Z-critical is less than -1.435 Reject H0 because Z-critical lies between 1.435 and -1.435
Experiment 3: Fifteen female CSCC students and 10 male CSCC students are randomly selected to determine if the mean time studying for females is significantly more than the mean study time for males. It can be assumed that all study times are normally distributed. Are these samples independent or dependent? Find the null and alternative hypothesis. H0: Ha:
QUESTION 1 Suppose that a survey was commissioned by the Ministry of Finance in order to determine the income of local vendors as part of their project aimed at investigating the feasibility of the presumptive tax. A sample of 26 local vendors was selected and their sample mean monthly income and variance was found to be $ 7 600 and $1 250 ($ squared), respectively. a) A representative of the local vendors argues that the local vendors‘ average monthly income is not more than $ 7 500. Conduct a hypothesis test at a 2.5% level of significance to determine the validity of the claim made by the local vendors’ representative? b) If the hypothesis test in (a) was to be conducted at a level of significance greater than 2.5%, what will be the conclusion? c) Explain the reasons for hypothesis testing using a practical example?
QUESTION 2 In 2003, Major League Baseball took steps to speed up the paly of baseball games and make games a more consistent duration. In a sample of 41 games in 2002, the average duration of a game was 2 hours and 58 minutes with a standard deviation of 30 minutes. A similar survey in 2003 of 31 games found that the average duration was 2 hours and 40 minutes with a standard deviation of 22 minutes. When testing the hypothesis (at the 10% level of significance) that the variance has been reduced, what is the critical value? (please round your answer to 2 decimal places)
Suppose that it is known that in a certain community 30% of the households have a micro-wave ovens. Fora a simple random sample of 19 households selected from this population find the standard deviation.

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