The nicotine content in miligrams of two samples of tobacco were found to be asJAllows:25262127Sample ASample B24312236302827Can it be said that iwo samples come from normal populations having the same mean ?

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Answered: The nicotine content in miligrams of…

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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Let uss. HMS: HLS, Hsuv and HMV represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDS, and minivans respectively. What are the hypotheses for this test? O A. Ho: Hss HMs = HLS = HSUV = HMv H: Not all the means are equal. O B. Ho: Hss= HMs HLS HSUV = Hmv H2: Hss HMS HLs Hsuv HMV O C. Ho: Hss HMS HLS HSUV HMV H: Hss = HMS = PLs = Hsuv = PMv O D. Ho: Not all the means are equal. H Hss = HMS PLs=Hsuv = PMv
3. The amount of time (in minutes) it took each individual in a sample of athletes to run a mile was recorded. In this particular sample, most of the athletes were able to run the mile quickly, but there were a small number of athletes who were not fast runners and needed more time to complete the mile. Two measures of center were computed for this sample: 12.9 minutes and 9.5 minutes. One of these measures is the mean and one is the median. Which measure must be the mean? A. The mean is 9.5 minutes because the distribution of running times would be skewed to the left. B. The mean is 9.5 minutes because the distribution of running times would be skewed to the right. c. The mean is 12.9 minutes because the distribution of running times would be skewed to the left. D. The mean is 12.9 minutes because the distribution running times would be skewed to the right.
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, a chemical company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 19 29 21 26 26 19 24 32 24 27 25 16 (a) Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3 H0: ?1 = ?2 = ?3Ha: Not all the population means are equal.H0: At least two of the population means are equal.Ha: At least two of the population means are different.H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient…
n = 6 n = 6 n = 6 N = 18 M = 1 M = 2 M = 6 G = 54 SS = 60 SS = 65 SS = 40 ∑X² = 411 Calculate the sample variance for each of the three samples.
3) A firm in Lebanon has developed a chemical solution that can be added to car gasolinewhich they believe will increase the miles per gallon that cars will get. The owners areinterested in estimating the difference between mean mpg for cars using the chemicalsolution versus those that are not using the solution. The following data represent the mpgfor independent random samples of cars from each population.with Solution without Solution______________________________n1 = 36 n2 = 42 x1 = 25.45 x2 = 24.1 _______________________________Assume that the populations are normally distributed and the population standarddeviations are known to be σ1 = 3.95 (with solution) and σ2 = 3.09 (without solution).Given this data, can the owners believe that there is a difference between mean mpg forcars using the chemical solution versus those that are not using the solution? Test using analpha level equal to 0.05.4) Given the following null and alternative hypothesis:H0: σ 2 ≤ 52HA : σ 2 > 52and the…
According to a dietary study. high sodium in take may be related to ucers. stomach cancer. and migraine headaches. The human requirement for salt is only 220 milligrams per day. which is surpassed in most single servings of ready-to-eat cereals. If a random sample of 20 similar servings of a certain cereal has a mean sodium content of 244 milligrams and a standard devlation of 24.5 miligrams, does this suggest at 0.05 level of significance that the average sodlum content for a single serving of such cereal is greater than 220 milligrams? The p-value of the test statistic in 6 decimal places and the critical value in two decimal places is: example answer: 0.123456 and 1.23
. Suppose a researcher has heard that children watch an average of ten hours of TV per day. The researcher believes this is wrong but has no theory about whether it's an overestimate or an underestimate of the truth. If the researcher wants to do a z-test of one population mean, what will the researcher's alternative hypothesis be?
Suppose the graduate teaching assistant for Intro Stat at the University of Florida also collected data on whether the students sat in the front of the class, middle of the class or back of the lecture hall. How much of the variance in the percentage grade is explained by the study hours and the sitting position?
A medical researcher randomly assigns 100 high-risk heart patients into two groups. One group will get open heart surgery and the other groups will get a transcatheter aortic valve replacement. She will compare the two groups to see how long they live after their procedures. What statistical test should she use to analyze the data? a. Chi Square Goodness of Fit Test b. Correlation c. One sample t-test d. Independent Samples t-test e. Factorial ANOVA
2. Metal Tags on Penguins and Survival. Data were collected over a 10-year timespan from a sample of 100 penguins that were randomly given either metal or electronic tags. One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged penguins survived, compared to 18 of the 50 electronic tagged penguins. Test whether the survival rate is lower among metal- tagged penguins than among electronic-tagged penguins. Use subscripts E for Electronic and M for Metal. a. State hypotheses. b. Calculate the sample statistic PE - PM c. Use Normal distribution methods to calculate a z-test statistic, given SE = 0.0898. d. Find the p-value and draw a Normal curve with z-statistic and appropriate shaded region. Normal curve: p-value: e. State the conclusion of the test in context, using nontechnical language. f. Find a 90% confidence interval to three decimal places for this difference in proportions, given SE= 0.08836. Show your…
A researcher samples 5 colony of Species of K and 5 colonies of Species L, measures their sizes as:Species K Species L4.7 5.35.2 4.66.1 4.15.8 4.85.2 4.2a. Test if mean colony size of Species K and Species L are different from each other? Report a p-value.(You may need to do an additional test to decide which test to apply for comparing the means)b. What is the power of the test in part a?c. The researcher would like to design a new experiment which will allow a two tailed hypothesis testwith significance 0.05 and power 0.90. What should be the sample sizes nK and nL for Species K and Species L (usek = 1)
What is the variance for the following set of scores? 4, 4, 4, 4, 4 Lütfen birini seçin: A. 2 B. 5 C. 0 D. 4

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The nicotine content in miligrams of two samples of tobacco were found to be as Lallows: 25 26 21 27 Sample A Sample B 24 31 22 36 30 28 27 Can it be said that two samples come from normal populations having the same mean ?