(b) A tea company appoints four salesmen A, B, C and D and observes their sales in threemonths, April, May and June:MonthsAprilMayJuneA362826iii.B362928S Ales menс213129D3532 9i. Prepare a two-way analysis of variance table and Name the blockingvariable and the treatment in this experiment.ii.Test at the 5% level of significance the null hypothesis that there issignificant difference in sales made by the four salesmenTest at the 5% level of significance the null hypothesis that there issignificant difference in the sales made during different months.

i Two-way analysis table is constructed below: Excel Procedure: Enter the given data in Excel…

Answered: (b) A tea company appoints four…

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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Does more education lower a person’s level of prejudice? The number of years of education and the score on a prejudice test for ten people is given in the following table. Higher scores on the test indicate more prejudice. Years of Education 12 15 14 13 18 10 16 12 10 4 Score on Prejudice Test 1 6 2 3 2 4 1 5 5 10 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. What is the decision for this hypothesis test? Reject the null because the absolute value of the test statistic is greater than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is less than the critical value and the p-value is greater than alpha. Reject the null because the absolute value of the test statistic is less than the critical value and the p-value is less than alpha. Fail to reject the null because the absolute value of the test statistic is greater than the…
Answer the subquestions for the sample problem below
"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?"
Mitchell works in the produce section at a small local supermarket and would like to test whether the proportion of apples people purchase is the same for each season, using a significance level of 0.05. He analyzes the apple purchases each season for a year and records his findings in the following table. Season Spring Summer Fall Winter Total --------- --------- ------ ------ ------- # of apples purchased 896 934 934 971 3735 (a) In performing this statistical test, state the hypotheses. O Ho: the proportion of customers is the same each season vs. HA: the proportion of customers is not the same each season O Họ: the distribution of apples people purchased is not the same for each season vs. HẠ: the distribution of apples people purchased is the same for each season O Họ: the observed number of apples people purchased is the same for each season vs. Ha: the observed number of apples people purchased is not the same for each season O Họ; the distribution of apples people purchased is…
Analysis of Variance (ANOVA) Researchers conducted a study to evaluate the effectiveness of three alcohol treatment programs. The researchers randomly assigned each of the 15 patients to receive one of these treatments. Sixty days later, the researchers measured the effectiveness of the program. One of their measures was the patient’s self-reported need to use alcohol. It was measured on a scale of 1 (low need) to 10 (high need). Test the null hypothesis that the patient’s self-reported need to use alcohol does not differ by type of treatment. Write a concluding statement. Treatment A Treatment B Treatment C 8 6 6 10 5 5 10 10 2 8 2 2 10 4 1
To study the performance of three detergents and three different water temperatures, the following 'Whiteness' readings were obtained with specially designed equipment : Water Temp. Detergent A Detergent B Detergent C Cold water 57 55 67 Warm water 49 52 68 Hot water 54 46 58 Perform a two-way analysis of variance, using 5% level of significance. (Given F 5% = 6-94)
Does more education lower a person’s level of prejudice? The number of years of education and the score on a prejudice test for ten people is given in the following table. Higher scores on the test indicate more prejudice. Years of Education 12 15 14 13 18 10 16 12 10 4 Score on Prejudice Test 1 6 2 3 2 4 1 5 5 10 Conduct a hypothesis test to determine if there is a significant linear correlation between the two variables. What is the test statistic for this hypothesis test? -0.532 1.945 0.0127 -3.196
The Analysis of Variance. A research study compared beer consumed daily between 3 groups with 3 observations each. Group1 was UCB, Group 2 UCSD, and Group 3 UCI. Determine if there is a significant difference among the groups 5% level. Group1: UCB Group 2: UCSD Group 3: UCI The Results of this study are in the following table: Group1 Group2 Group3 Sample 3, 4, 5 3.2, 4, 4.2 3, 4, 3.3 Mean 4.0 3.7 3.4 S^2 4.4 5.2 6.1 null and alternative hypotheses are Null hypothesis Ho : There is a significant difference among the treatment group means Alternative Hypothesis Ha : At least one group mean is different from other group means the average mean due to treatments are…
A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume μd is the difference in average sales between the east side shop and west side shop. a. H0: μd = 0 versus H1: μd ≠ 0.b. H0: μd ≠ 0 versus H1: μd = 0. multiple choice a b Ski Hat Sales on Five Consecutive Saturdays (n = 5) Saturday East Side West Side 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532
Interaction a. What is an interaction between two factors? b. In general, when using two-way analysis of variance, if we find that there is an interaction effect, how does that affect the procedure? c. Shown below is an interaction graph constructed from the data in Exercise 1. What does the graph suggest?
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
A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the ski season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.) (c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) (c-2) What is your conclusion? Ski Hat Sales on Five Consecutive Saturdays (n = 5) Saturday East Side West Side 1 548 523 2 493 721 3 609 695…

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