3. Which of the following problem statements indicate the use of a double-sided hypothesis test?A. Suppose that a fabric is unsuitable for dyeing if its water pickup is less than 55%. Is the cottonfabric under consideration suitable for dyeing?B. A supplier claims that its products made from a graphite-epoxy composite material have a tensilestrength of 40. An experimenter may test this claim by collecting a random sample of products andmeasuring their tensile strengths.C. A manufacturer claims that its cars achieve an average of at least 35 miles per gallon in highwaydriving. A consumer interest group tests this claim by driving a random selection of the cars inhighway conditions and measuring their fuel efficiency.D. Suppose we are interested in the average online exposure time of students, a random variablethat can be described by a probability distribution. We are interested in deciding whether or not themean exposure time is now greater than lower than 8 hours per day average pre-COVID.

Any assumption about the parameter or probability function is known as hypothesis testing. for the…

Answered: 3. Which of the following problem…

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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Recall that Benford's Law clalms that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a v leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millons of numbers in a large computer data bank. You draw a random sample of n = 229 numbers from this file and r 85 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1. large data file, the probability of getting a number with "1" as the () Test the dalm that p is more than 0.301. Use a 0.10. (a) what is the level of signifcance? State the null and alternate hypotheses. O Hg: p = 0.301; H p> 0.301 O Hgi P = 0.301; Hip 0.301; Hp- 0.301 O Ho: P= 0.301; H: p- 0.301 (b) what sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The…
A. Find the ZSTAT B. Find the critical values C. What is the p-value
An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry out a fuel efficiency test. Six nonprofessional drivers were selected, and each one drove a car from Phoenix to Los Angeles. The resulting fuel efficiencies (in miles per gallon) are given below. 27.3 29.2 31.3 28.3 30.2 29.7 Assuming that fuel efficiency is normally distributed under these circumstances, do the data contradict the claim that true average fuel efficiency is (at least) 30 mpg? Test the appropriate hypotheses at significance level 0.05. Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to four decimal places.) t = P-value = State the conclusion in the context of the problem. O Fail to reject Ho. The data provide convincing evidence contradicting the manufacturers claim. O Fail to reject Ho. The data do not provide convincing evidence contradicting the…
Suppose that samples of polythene bags from two manufacturers A and B are tested by a prospective buyer for bursting pressure, with the following results: If the prices are the same, which manufacture’s bags would be preferred by the buyer? Why?
Refer to Exercise 8.S.6. Analyze these data using a Wilcoxon signed-rank test.
4.7 A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decided to use a randomized block design, with the bolts of cloth considered as blocks. She selects five bolts and applies all four chemicals in random order to each bolt. The resulting tensile strength follow. Analyze the data from this experiment (use a = 0.05) and draw appropriate conclusion. Bolt Chemical 1 2 3 4 5 1 73 68 74 71 67 2 73 67 75 72 70 3 75 68 78 73 68 4 73 71 75 75 69
An engineer wants to know if producing metal bars using a new experimental treatment rather than the conventional treatment makes a difference in the tensile strength of the bars (the ability to resist tearing when pulled lengthwise). At α=0.10, answer parts (a) through (e). Assume the population variances are equal and the samples are random. If convenient, use technology to solve the problem. Treatment Tensile strengths (newtons per square millimeter) Experimental 449 354 450 360 433 388 400 Conventional 370 376 374 424 378 450 438 404 352 376 (a) Identify the claim and state H0 and Ha. The claim is "The new treatment ▼ makes a difference does not make a difference in the tensile strength of the bars." What are H0 and Ha? The null hypothesis, H0, is ▼ mu 1 equals mu 2μ1=μ2 mu 1 less than or equals mu 2μ1≤μ2 mu 1 greater than or equals mu 2μ1≥μ2 . The alternative hypothesis, Ha,…
4. Which of the following is used in model fit comparisons? A. Alkaike Information Criterion test B. The R-squared adjusted C. The Bayesian Information Criterion D. All of the above 5. Dr. Musantu conducted an estimation between y (dependent variable) and x (independent variable) in Stata. He obtained 0.332 coefficient of x and standard error of 0.021. What is the value of the t-statistic? A. 14.809 01392 B. 15.809 C. 16.809 D. None of the above 6. Is the above regressor (in question 8) significant at 5% (which gives 1.96 critical values) level of significance? A. No B. Yes 7. In a log-log regression model, what does the slope coefficient measure? A. The elasticity or percentage change of y with respect to a percentage change in x. B. The change in y which the model predicts for a unit change in x. C. The change in x which the model predicts for a unit change in y. D. 100 multiplied by the ratio y/x. 0.021
10.1 am choosing for my experiment a post hoc test that will strictly limit my experiment-wise error rate at 1%. Which test could possible employ? A. Fisher's LSD B. ANOVA C. Tukey's method D. a and C
Researchers analyze a new portable radiocarbon dating machine and determine that the machine will correctly predict the age of an archaeological object within established tolerances 70% of the time. The machine's inventor wants to test this claim, believing that her machine correctly predicts age at a greater rate. Let p represent the proportion of times that the new portable radiocarbon dating machine correctly determines the age of an archaeological object to within the established tolerances. The inventor's null and alternative hypotheses are as follows. Но : р 0.70 На : р> 0.70 The inventor takes a random sample of n = 100 archaeological objects for which the age is already known and uses her machine to determine the age of each object. The machine correctly determines the age of 78 of the objects in the sample. What is the value of the standardized test statistic? (Round to 2 decimal places)

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