Please answer all questions! A company is trying to determine if the colour of the box has any effect on sales. Threedifferent coloured boxes are sent to their distributors and a check is made at the end of theweek on the number of sales in each store.Red435259766181(a) Prepare the analysis of variance table manually (Show ALL workings).(b) State the null hypothesis(es), the decision rule for a = 0.05 and make the decisionfor each hypothesis.ABYellow5237386474(c) Confirm your answer using R-Studio. Provide the code used and relevant outputtables.CD(d) Using R-Studio, carry out relevant tests to determine if the assumptions of normalityand homogeneity of variance were violated. Carefully discuss your findings quotingrelevant statistics in your response and provide the necessary hypotheses. (Providethe code used and relevant output tables.)The company expanded their analysis to compare the effect on the sale of three box coloursin four different countries. The results are displayed below:Box ColourYellowCountry Red4756CountryABCDBlue6129385379494152546344The results for a second store in each company is added to the study. The results aredisplayed below:Box ColourRed Yellow4549433850516049Blue60525548Blue54585044Combine the data from the two sets of trials and(e) Prepare the analysis of variance table manually (Show ALL workings).(f) State the null hypothesis(es) in words, the decision rule for a = 0.05 and make thedecision for each hypothesis.(g) Confirm your answer using R-Studio. Provide the code used and relevant outputtables.3(h) Using R-Studio, carry out relevant tests to determine if the assumptions of normalityand homogeneity of variance were violated. Carefully discuss your findings quotingrelevant statistics in your response and provide the necessary hypotheses. (Providethe code used and relevant output tables.)

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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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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 424.0424.0 gram setting. It is believed that the machine is underfilling the bags. A 4141 bag sample had a mean of 419.0419.0 grams. A level of significance of 0.010.01 will be used. Determine the decision rule. Assume the variance is known to be 289.00289.00. Enter the decision rule.
A lumber company is making boards that are 29432943 millimeters tall. If the boards are too long they must be trimmed, and if they are too short they cannot be used. A sample of 1414 boards is made, and it is found that they have a mean of 2940.52940.5 millimeters with a variance of 144144. Is there evidence at the 0.0250.025 level that the boards are too short and unusable? State the null and alternative hypotheses for the above scenario.
At the insistence of a government inspector, a new safety device is installed in an assembly-line operation. After the installation of this device, a random sample of 8 days’ output gave the following results for numbers of finished components produced:618 660 638 625 571 598 639 582Management is concerned about the variability of daily output and views any variance above 500 as undesirable. Test, at the 10% significance level, the null hypothesis that the population variance for daily output does not exceed 500.
A scrap metal dealer claims that the mean of his cash is 'no more than R80', but an Internal Revenue Service agent believes that the dealer is untruthful. The agent randomly selects a sample of 20 cash customers and find the mean purchase to be R91, with a variance of R441. What is The correct conclusion at 5% significance level if the test statistic value is 2,3425?
Two processes for manufacturing 60-watt light bulbs are under study. In both cases, the life (in hours) of the bulb before it burns out is being examined. A random sample of 21 light bulbs manufactured using the old process showed the sample variance of lifetimes to be s2 = 53.61. Another random sample of 21 light bulbs manufactured using the new process showed the sample variance of the lifetimes to be s2 = 135.94. Use a 5% level of significance to test the claim that the population variance of lifetimes for the new manufacturing process is larger than that of the old process. (i) Give the value of the level of significance. (ii) Find the sample test statistic. (Round your answer to two decimal places.)
A machine makes drill bits. When the machine is operating correctly, the variance of the diameter ofdrill bits is no more than .04 inches. In a random sample of 81 drill bits, the sample variance was .07.Test the hypothesis at the 1% level that the machine is operating correctly.
A researcher randomly sampled 30 graduates of an MBA program and recorded data concerning their starting salaries. Of primary interest to the researcher was the effect of gender on starting salaries. The result of the pooled-variance t-test of the mean salaries of the females (Population 1) and males (Population 2) in the sample is given in the accompanying table. The researcher was attempting to show statistically that the female MBA graduates have a significantly lower mean starting salary than the male MBA graduates. Which of these is an appropriate alternative hypothesis? A. H1:μfemales≠μmales B. H1:μfemales>μmales C. H1:μfemales<μmales D. H1:μfemales=μ
An Analysis of Variance (ANOVA) demonstrated the following results for course sense of community, F(2, 27) = 2.56, p = .07. Students in online courses (M = 12.4, SD = 2.26), blended courses (M = 13.62, SD = 5.56), and the residential courses (M = 14.65, SD = 7.56) were measured on their sense of community. What can be concluded based on these results?
"A large candy manufacturer produces, packages and sells packs of candy targeted to weigh 52 grams. A quality control manager working for the company was concerned that the variation in the actual weights of the targeted 52-gram packs was larger than acceptable. That is, he was concerned that some packs weighed significantly less than 52-grams and some weighed significantly more than 52 grams. In an attempt to estimate the variance of the weights of all of the 52-gram packs the manufacturer makes, he took a random sample of n = 20 packs off of the factory line. The random sample yielded a sample variance of 3.5 grams. Use 90% confidence level. What is the confidence interval for the variance of the weight of the candy?"
Which of the following tests is used to test if the homogeneity of variance assumption is met? Tukey HSD 99 x 99 Factorial ANOVA Levene's test Post-hoc test
A machine makes drill bits. When the machine is operating correctly, the variance of the diameter of drill bits is no more than .04 inches. In a random sample of 81 drill bits, the sample variance was .07. Test the hypothesis at the 1% level that the machine is operating correctly.
A teacher gives a third grade class of n = 16 a reading skills test at the beginning of the school year. To evaluate the changes that occur during the year, students are tested again at the end of the year. Their test scores revealed an average improvement of MD = 4.7 points A. If the variance for the difference scores is s2 = 144, are the results sufficient to conclude that there is significant improvement? Use a one-tailed test with α = .05. s² = ________________________________ SMD = ______________________________ tcritical = ___________________________ tcalculated = ___________________________ Decision = __________________________ B. If the variance for the difference scores is reduced to s2 = 64, are the results sufficient to conclude that there is significant improvement? Use a one-tailed test with α = .05. SMD = ______________________________…

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A company is trying to determine if the colour of the box has any effect on sales. Three different coloured boxes are sent to their distributors and a check is made at the end of the week on the number of sales in each store. Red 43 52 59 Yellow 52 37 38 Blue 61 29 38