Problem 3A bowl contains 12 balls of various colors:color silver magenta umber copperballs in bowl 2 3Consider drawing a random sample of size 6 with replacement from the bowl.Fill in the following table of expected values of the numbers of balls of each colorin the random sample.colorexpected number (Q3)silverFill in the expected valuesmagenta(Q4)(Q5)umberballs in sample 1color silver magenta umber copper21 2(Q6)Consider the following possible outcome of drawing the random sample:copperThe probability of this outcome is (Q7)The chi-squared statistic for this outcome is (Q8)Is the chi-square curve with 3 degrees of freedom a good approximation to theprobability histogram of the chi-squared statistic for a random sample of sizewith replacement from this bowl? (Q9) no

A bowl contains 12 balls of various colors:ColorBalls in bowlSilver2Magenta3Umber1Copper6A sample of…

Answered: Problem 3 A bowl contains 12 balls 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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6. A simple random sample of 1,000 United States adults was collected to investigate whether gender and being a coffee drinker are independent. The results are summarized in the table with the expected counts shown in parentheses. Coffee Drinker? Yes No Total Male 191 (148.5) 299 (341.5) 490 Gender Female 112 (154.5) 398 (355.5) 510 Total 303 697 1,000 Which statement is true about whether the conditions for the chi-square test for independence have been met? All necessary conditions are satisfied to apply a chi-square test for independence between gender and being a coffee drinker. The data is not the result of two independent random samples; therefore, the conditions for applying the chi- square test for independence between gender and being a coffee drinker are not met. Not all of the expected cell counts are large enough to satisfy the conditions for applying the chi-square test (c) for independence between gender and being a coffee drinker. Not all of the observed cell counts are…
Rock-paper-scissors is a game played by two or more people where players choose either rock, paper, or scissors with their hands. For your statistics class project, you want to evaluate whether players choose between these three options randomly, or if certain options are favored above others. You ask two friends to play rock-paper-scissors and count the times each option is played. The following table summarizes the data: Under the assumption that no option is favored, what would the expected number of paper be? a. 33 b. 20 c. Impossible to determine d. 21 e. 0.33 What is the test statistic for the chi-square goodness of fit test? a. 0.0005 b. 0 c. 0.30 d. 0.317 e. 0.20 f. 7.51
Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of the year than others? Owners of a children's toy store chain in the Northwest asked just this question. Some data collected by the chain are summarized in the table below. The data were obtained from a random sample of 190 people. The birthdate of each person was recorded, and each of these dates was placed into one of four categories: winter (December 21-March 20), spring (March 21-June 20), summer (June 21-September 20), and fall (September 21-December 20). The numbers in the first row of the table are the frequencies observed in the sample for these season categories. The numbers in the second row are the expected frequencies under the assumption that birthdays are equally likely during each season of the year. The bottom row of numbers gives the following value for each of the season categories. Answer the following to summarize the test of the hypothesis that birthdays are equally…
Part I: Sections 1.1 - 1.5 4. A flower garden has 40 flowers: 10 yellow, 5 white, 8 red, and 17 pink. Assume that 3 flowers are randomly selected. If the sampling is done with replacement, what is the (a) probability that the first two flowers are pink and the last flower is yellow? (b) probability that at least one of the flowers is red? If the sampling is done without replacement, what is the
The expected proportions of colors of M&Ms according to the Mars candy company can be found in the table below. In addition, the table contains the number of M&M's of each color that were found in a case of candy. At the 1% level, do the observed frequencies support the claim of M&M? M&M Observed Counts and Expected Proportions blue brown green orange red yellow Total Observed Frequencies 474 379 489 550 363 359 2614 Expected Proportion 0.24 0.13 0.16 0.2 0.13 0.14
A candy company claims that the candy colors (red, purple, green, blue, and yellow) appear in the same proportion in their candy bags. Fill in the table with the expected numbers for each color for a sample of 400 candies if the claim is true. Color Purple Expected number in sample Red Color Expected number in sample Red Green An independent analyst claims that 21% are red, 15% are purple, 35% are green, 10% are blue, and 19% are yellow. Fill in the table with the expected numbers for each color for a sample of 400 candies if this claim is true. Purple Blue Green Yellow Blue Yellow
1.) Why does a large value of the F statistics provide evidence against the null hypothesis? 2.) An urn contains 20 colored golf balls: 8 white, 6 red, 4 blue, and 2 yellow. A child is allowed to draw balls until he gets a yellow one. The number of draws required is recorded. Determine what distribution the probability experiment represents and why?
c) Three coin are tossed. Write down the sample space hence copy and complete the table of probabilities distribution P(X = x) of X = 0, 1, 2, and 3 heads below hence find the expected value E(X) x p(x) 0 1338 8 2 3
46% of all statistics classes require an advanced calculator and 38% require the use of a computer that has statistical software. Of the classes that require an advanced calculator, 18% also require the use of a computer. If a statistics course is selected at random find A. P(Advanced Calculator) = [ Select ] ["0.57", "0.38", "0.18", "0.46"] B. P(Statistical Software) = [ Select ] ["0.38", "0.57", "0.46", "0.18"] C. P(Require an Advanced Calculator and Statistical Software) = [ Select ] ["0.1259", "0.1748", "0.0828", "0.8335"] D. P(Require an Advanced Calculator GIVEN Require Statistical Software) = [ Select ] ["0.3515", "0.18", "0.2184", "0.9716"]
5. Five hundred tickets will be sold and these will be raffled during the town fiesta. One of these tickets will win ₱3000 and the rest will win nothing. What will be the expected outcome and variance of your gain if you will buy one of the tickets?6. Astrid tosses an unbiased coin. On each toss, she wins ₱50 if a head appears, and loses ₱40 if a tail appears. What will be the expected value and variance of her gain?
6% of all statistics classes require a statistical calculator and 25% require the use of a computer that has statistical software. Of the classes that require a statistical calculator, 13% also require the use of a computer. If a statistics course is selected at random find: (round to 4 decimal places where possible) a. P(Statistical Calculator) = Correct b. P(Statistical Software) = Correct c. P(Require a Statistical Calculator and Statistical Software) = Incorrect d. P(Require a Statistical Calculator GIVEN Require Statistical Software) =

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