Task:In a certain factory, production can beaccomplished by four different workers onfive diffferent types of machines. A simplestudy, in context of a two-way designwithout repeated values, is being made withtwo fold objectives of examining whetherthe four workers differ with respect to meanproductivity and whether the meanproductivity is the same for the fivedifferent machines. The researcher involvedin this study reports while analysing thegathered data as under :i: Sum of squares for variance betweenmachines = 35.2%3D(ii) Sum of squares for variance betweenworkmen = 53.8%3D(iii) Sum of squares for total variance =174.2Set up ANOVA table for the giveninformation and draw the inference aboutvariance at 5 per cent level of significance.

Answered: Image /qna-images/answer/0f010e89-076b-48b6-83ba-a650ba83ace8.jpg

Answered: Task: In a certain factory, production…

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 auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.10 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal. Judge Hughes 24 30 + Judge 18 18 36 30 Wilson 12 36 36 Copy Data Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho :μ₁ = 1₂ Ha: ₁ 12 24 M₂ 12 30 36 18 36 36 24 12
The spreadsheet records the accuracy of 100 students spread out across 10 groups (or courses). ACCURACY is a measure of how well a student accurately inputs data into SAS; higher values indicate superior accuracy while lower values indicate inferior accuracy. GROUP is simply the course number assigned to the student—it is also known as a factor level. Various statistical tests assume the ten levels may have differing means of accuracy; however, they also assume that all levels have the same variance. But, how the heck do we know that? This means we must check to see whether all levels have the same variance. Do all ten groups exhibit equal variances? How do you know? Are any of the groups different than the others? How do you know? Perform Levene’s test and write it up. Accuracy Group1.0060 10.9960 10.9980 11.0000 10.9920 10.9930 11.0020 10.9990 10.9940 11.0000 10.9980 21.0060 21.0000 21.0020 20.9970 20.9980 20.9960 21.0000…
The data is presented in parallel format. Before running the ANOVA in Excel, you will need to put it into serial (column) format. You will need to create a categorical variable for the first factor (days) and for the second factor (time of day). This is a critical step.The data presented shows exam scores for students randomly assigned to the sections meeting on these days at these times of the day: Thursday Friday Morning Afternoon Morning Afternoon 70.878.15978.246.646.476.559.376.370 65.678.359.359.778.680.892.780.865.392.3 90.890.569.177.36977.558.677.877.558.6 63.372.854.254.472.166.26372.56672.2 Conduct a 2-way ANOVA. First, find the group means for each level of the factors. (Report answers accurate to 2 decimal places.)Days: MThursday=MThursday= MFriday=MFriday= Time of day: Mmorning=Mmorning= Mafternoon=Mafternoon= Report the results of the ANOVA for the main & interaction effects. (Report P-values accurate to 4 decimal places and…
Three brands of bacon such as Poorfoods, Sweeps and COD are tested for a fat content with the following sample results: (step by step solution, without using excel) BRAND FAT CONTENT (%) TOTAL Poorfoods 40 43 40 40 43 206 Sweeps 41 42 35 38 34 190 COD 40 35 36 33 36 180 Perform the appropriate test procedure determining whether or not there are differences in the mean fat content of the three bacon brands at 5% level of significance. Ho: Ha: Decision Rule: Computation: ANOVA TABLE: Sources ofVariation Degrees of Freedom Sum of Squares Mean of Sum of Squares F-computed Decision: Conclusion:
Consider the two sample t-test with equal variances and the paired t-test. These tests are equivalent to which experimental designs. State the designs and draw detailed comparison between them.
You wish to test the following claim (H₁) at a significance level of a = 0.05. Hou= 81.3 H₁ 81.3 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean = 87.2 and a standard deviation of s = 8.7. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... Ꮕ less than (or equal to) a greater than a
A study was conducted using 50 mobile network users who volunteered to participate in a research as the entry of the third telco player in the country is on its way. One of the variables studied was the data connection speed in the previous month. Based on the data in the following table, is there a significant difference between the connectivity speeds of the two present mobile networks during the previous month? Use a 5% level of significance and assume that the population variances are equal. 1. The alternative hypothesis for the test would be? 2. The alternative hypothesis for the test would be? 3. What is the computed value of the test statistic? 4. What would be your decision?
In a comparison between the mean waiting time of the patients in the hospitals of Giza and Alexandria governments the minister of Health randomly selected 60 hospitals from Giza government and their mean waiting time was 30 minutes and the previous reports showed that the variance was 10 minutes. Also a sample consist of 50 hospitals from Alexandria governments was selected and their mean waiting time of this sample was 15 minutes and from previous reports the variance was 5 minutes. 1-Construct the 95% C.I for the difference between the average waiting time in Giza & Alex2- Without any computations, discuss fully and precisely what will happen to the results you obtained in part (1) if the confidence level changed to be 99% instead of 95%. Give the reason for your answer
← A research center claims that at least 25% of adults in a certain country think that their taxes will be audited. In a random sample of 600 adults in that country in a recent year, 20% say they are concerned that their taxes will be audited. At a = 0.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. Zo = -1.65 (Round to two decimal places as needed. Use a comma to separate answers as needed.) Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice (Round to two decimal places as needed.) OA. The rejection region is z> OB. The rejection region is C. The rejection region is (c) Find the standardized test statistic z. 0 (Round to two decimal places as needed.) Z= W (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim. the null hypothesis. There enough evidence to the center's claim.
The grams of carbohydrates for cereals made by three popular cereal manufacturers (Kellogg, General Mills, and Post) were collected and a one-way ANOVA was performed, as displayed in the table below. Analysis of Variance results: Where: mfr="General Mills" or mfr="Kellogg" or mfr="Post" Responses: carbo Factors: mfr Response statistics by factor mfr="General Mills" or mfr="Kellogg" or mfr="P Carbohydrates 20 mir General Mills 22 14.727273 no Means Std. Dev. Std. Error + 3.3478041 0.71375423 15 Kellogg Post 23 15.130435 4.4650598 0.93102933 9 13.222222 1.9220938 0.64069792 ANOVA table Source DF mi SS MS F-Stat P-value 2 23.786927 11.893464 0.86217854 0.4283 51 703.52789 13.794664 10 Total 153 727.31481 General Mills Kellogg Manufacturer Post Which manufacturer has the highest median grams of carbohydrates? Post O Cannot be determined. O General Mills Kellogg myhip
An auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.05 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal. Judge 24 12 12 30 36 30 12 18 24 12 24 30 Hughes Judge Wilson 36 36 24 24 24 24 18 12 30 24 18 30 Step 3 of 3: Draw a conclusion and interpret the decision. Copy Data
A significant result in an ANOVA indicates that A)the means of two groups are different, B)there is a significant effect of random variance. C)there is a significant effect of systematic variance. D)the intercept of the regression line is not zero.

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