According to the manufacturer of M&Ms, 13% of the plain M&Ms in a bag should be brown, 14% yellow, 13% red, 24% blue, 20% orange, and 16% green. A student randomlyselected a bag of plain M&Ms. He counted the number of M&Ms of each color and obtained the results shown in the table. Test whether plain M&Ms follow the distribution stated bythe manufacturer at the a=0.05 level of significance.Click the icon to view the table.119. HUN VIIVINN MUN SUNOC. Ho: The distribution of colors is at least as uniformH₁: The distribution of colors is less uniform than sO D. H: The distribution of colors is at most as uniformH,: The distribution of colors is more uniform thanCompute the expected counts for each color.(Round to two decimal places as needed.)ColorBrownYellowRedBlueOrangeGreenFrequency606553629366Expected CountObserved Distribution of ColorsColorFrequencyClaimed ProportionBrown Yellow65600.130.14PrintRed530.13DoneBlue Orange Green9362660.240.200.16C- X

The given table shows the distribution of the manufacturers.

Answered: According to the manufacturer of M&Ms,…

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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An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table: Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. What type of hypothesis test will allow us to reach a conclusion in the situation posed above? A. Variance test B. Unilateral for difference in proportions C. Bilateral for average difference D. Unilateral for change in effectiveness
What is the test statistic?
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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…
QUESTION 6 Suppose that X is a binomial random variables, with a probability of success equal to p defined trails and n trails. Let n = 7 and p 0.3. CalculateE(3 + 2X). 7.2 None of the options O 3.6 O 17.6 O 4.2
Let x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.
p = proportion of students who drop out due to lack of economic resources A sociologist thinks that in his country the percentage of students who drop out due to lack of economic resources is different from 40%. He takes a sample of 70 student dropouts and finds that 37 of them dropped out due to lack of financial resources.Can the sociologist, with a significance level of 0.05, consider that the percentage of students who drop out due to lack of economic resources is different from 40%? Choose 1. The correct conclusion2. The correct interpretationSelect one:to)1. H0 is rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongb)1. H0 is not rejected2. With 95% confidence, it can be ensured that the percentage of those who drop out due to lack of economic resources in that country is not different from 40%, that is, the sociologist is wrongc)1.…
5. An ecologist is studying the flower Iris versicolor. He measures the width and length of 100 petals of this flower from a large collection of specimens and obtains the following data. Width: AVG = 1.3 cm, SD = 0.2 cm Length: AVG = 4.3 cm, SD = 0.5 cm r = 0.65 One of the petals is at the 30th percentile of both width and length. Relative to all the petals at the 30th percentile width, this petal's length is (circle one) smaller than average about average larger than average Justify your answer using a written explanation and/or a diagram.

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