Which of the following statements is the FALSE statement for one-way ANOVA?A. The null hypothesis is failed to reject if at least one of the means is significantlydifferent.o; =o; = 0; = oB. If there are four populations, we assumeC. The samples taken from the populations must be normally distributed.D. The samples are not depending on each other.AвDAnswer cholesterol medication. The company randomly selects 5 subjects and assigned toeach of three treatment groups. Within each treament group, subjects receive adifferent dose of the new medication. After 30 days, doctors measure the cholesterollevel of each subject. The within groups degrees of freedom is:A. 5В. 2С. 12D. 14AВAnswerC.

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Which of the following statements is the FALSE statement for one-way ANOVA? A. The null hypothesis is failed to reject if at least one of the means is significantly different. B. If there are four populations, we assume i =o =o =o}. C. The samples taken from the populations must be normally distributed. D. The samples are not depending on each other. A B D Answer

Which of the following statements is the FALSE statement for one-way ANOVA? A. The null hypothesis is failed to reject if at least one of the means is significantly different. B. If there are four populations, we assume i =o =o =o}. C. The samples taken from the populations must be normally distributed. D. The samples are not depending on each other. A B D Answer

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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When two births are randomly selected, the sample space for genders is bb, bg. gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion an unbiased estimator of a population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is , and this is not affected by how many boys or girls have previously been born. 2 Determine the probabilities of each sample proportion. Probability Sample proportion of girls Tune intanare or cimnlifiad frartinne
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1. Tim Hortons wanted to estimate the difference in the mean amounts of caffeine in two brands of coffee. They took a sample of 18-lbs jars of Brand I and another sample of 13-lbs jars of Brand II coffee. The following summary data (sample statistics) are collected? nį = 10 x, = 23 S1 = 3 Brand I Brand II n2 = 12 x2 = 25 S2 = 4 Assume that the two populations are normally distributed. A. Test at 5 % level of significance, whether there is a difference in the mean amounts of caffeine between the 2 brands of coffee. B. Construct a 95% Confidence Interval to estimate the difference in the mean amounts of caffeine in 2 brands of coffee. C. Does the result in part b) confirm your findings from part a)?
Suppose we are interested in the relationship between individuals’ place of residence (rural versus urban) and their political affiliation (Republican versus Democrat). A random sample of 100 individuals yields the following crosstabulation: Political Affiliation Place of Residence Republican Democrat Rural 21 29 Urban 14 36 a) In words, what is the null hypothesis to be tested? b) Is the relationship between place of residence and political affiliation statistically significant at the .05 level? (Be sure to show the statistics that lead to your decision.) c) Compute and interpret an appropriate measure of association for the relationship between these two variables.
9. An article in the Philippine Daily Inquirer discusses the dangers of obesity. The article claims that in the middle managerial positions, obese people get (on average) smaller paychecks than non-obese people. Suppose that you want to test this claim, and you have obtained the following two random samples of employees (data are in thousands of pesos per month): Obese: 45 54 39 67 33 62 39 50 48 51 37 61 70 35 42 40 Non-obese: 54 69 36 77 56 30 72 80 44 73 55 60 49 Test the hypothesis using the 0.05 level of significance.
1. What is the pooled variance for the following two samples? Sample 1: n - 8 and SS = 168 Sample 2: n = 6 and SS = 120 2. An independent-measures study comparing two treatment conditions produces a t statistic with df = 18. If the two samples are the same size, how many participants were in each of the samples? 3. Caroline and Mira are both really smart and do equally well in their psychology classes, but something happens to Caroline when she goes to their philosophy class. She just can't keep up, whereas Mira does even better. One of the independent variables is the student. True or False
4 4G I. moodle.unizwa.edu.om a | Quiz3 Time left 0:00:21 Question 3 Answer saved Marked out of 2.00 P Flag question Which one of the following choices describes a problem for which an analysis of variance would be appropriate? O A. Comparing the proportion of successes for three different treatments of anxiety. Each treatment is tried on 100 patients O B. Analyzing the relationship between high school GPA and college GPA O . Analyzing the relationship between gender and opinion about capital punishment (favor or oppose). O D. Comparing the mean birth weights of newborn babies for three different hospitals. O E. None of these Clear my choice Previous page Next page 1 2w-ANOVA(3) Jump to... Quiz navigation 7 +
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
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Q.3 For the following data: a) Compute SST, SSTR, SSE b) Construct a one-way ANOVA table c) Decide at the 5% significance level, whether the data provide sufficient evidence to conclude that the means of the populations from which the samples are drawn are not the same. Sample 1 Sample 2 Sample 3 Sample 4 11 16 6 2 10 7 4 10 3. we have: ng = 3 n3= 3 n4 = 3 Ta 24 = 1s Ty= 36 THa9 n z Enj = 12 Exz= IT;= &4 ..... Ex - (Ex:*/n = SSTR = I (Tim;) - (Iri)/n = ()+( )+( )+( ) -- 2. SST = 12 SSE = 5sT - SSTR = Fostatistic df MS 2 df :عاطء Souree SS MSTR/MSE 138 Treatment where: MSE- SSE/(n-k) MSTR = SSTR/(K-1) Enron Tofal df z ( 3, 8) caitical Valme s ? Compare test- statistic to cv. Do you rejuctNull or Do not rejrit what dees it mean ? write here
] 1 5. A storeowner wishes to compare the average amount of money high school and college students spend on music downloads. He randomly selects 10 students from each of three different student populations: high school, undergraduate, and graduate. The statistical assumptions required to perform a one-way ANOVA to compare the means of these three groups are reasonable based on the data. A partially completed ANOVA table is provided below. Source Sum of Squares DF Mean Square F dfl I F df2 Groups Error Total SSG 3240 4450 (a) Calculate all incomplete parts in the table. MSG MSE (b) What is the value of the pooled standard deviation (estimate for σ)?