To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, Acti-Chem SA (Pty) Ltd obtained the below dataon the time (in minutes) needed to mix the material. Use the data, and summarized information, to test whether the population mean times for mixing a batch of materialdiffer for the three manufacturers. Use a=0.05. Manufacturer 1 (20; 26; 24; 22). Manufacturer 2 (28; 26; 31; 27). Manufacturer 3 (20; 19; 23; 22). Furthermore, the following sumsof squares are given: SST = 104; SSE = 44 and TSS = 148. What is the critical value (rounded off to two decimals)?O A. 4.01O B. 4.90O C. 4.67O D. 4.26

We have to determine the critical value for testing whether the population mean times for mixing a…

Answered: To test whether the mean time needed to…

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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Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 14,19,16,14,19,19,14,21,17,17,14,17 Give the p-value and interpret the results. a) p = 0.0012; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. b) p = 0.0012; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0023; Based on 5% significance level, I will reject the null hypothesis and conclude this patient has a high HC level. d) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and…
Refer to the data presented in Exercise 2.86. Note that there were 50% more accidents in the 25 to less than 30 age group than in the 20 to less than 25 age group. Does this suggest that the older group of drivers in this city is more accident- prone than the younger group? What other explanation might account for the difference in accident rates?
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Manufacturer 1 2 3 17 28 24 23 26 23 21 31 27 19 27 26 a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use x=0.05.Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error Mean Squares, Treatment Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). The p-value is What is your conclusion? b. At the x=0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Calculate Fisher's LSD Value (to 2 decimals). What conclusion can you draw after carrying out this test?
Let x represent the hemoglobin count (HC) in grams per 100 milliliters of whole blood. The distribution for HC is approximately normal with μ = 14 for healthy adult women. Suppose that a female patient has taken 12 laboratory blood samples in the last year. The HC data sent to her doctor is listed below. We would like to know if the data indicates this patient has significantly high HC compared to the population. 22,17,20,17,17,14,16,21,15,21,15,22 Give the p-value and interpret the results. a) p = .1053; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. b) p = .0562; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. c) p = 0.0003; Based on 5% significance level, I will fail to reject the null hypothesis and conclude this patient does not have a high HC level. d) p = 0.0003; Based on 5% significance level, I will reject the…
Las Vegas has seen increased competition from Singapore and Macau for customers in the casino resort industry. One measurement of success is the average length of stay by visitors. The data in this file show the number of days a random sample of visitors stayed at each location. a. Using α = 0.05 to determine if there is a difference in the average length of stay by visitors for the three locations. Follow the steps as outlined in the exercises. b. If warranted, perform a multiple comparison test to determine which pairs are different using α = 0.05. c. Verify your results using Excel.
The pathogen Phytophthora capsici causes bell peppers to wilt and die. Because belI peppers are an important commercial crop, this disease has undergone a great deal of agricultural research. It is thought that too much water aids the spread of the pathogen. Two fields are under study. The first step in the research project is to compare the mean soil water content for the two fields. Units are percentage of water by volume of soil. Field A samples, x: 10.0 10.7 15.5 10.4 9.9 10.0 16.6 15.1 15.2 13.8 14.1 11.4 11.5 11.0 Field B samples, x,: 8.3 8.5 8.4 7.3 8.0 7.1 13.9 12.2 13.4 11.3 12.6 12.6 12.7 12.4 11.3 12.5 A USE SALT Use a calculator to calculate x,, s,,x,, and s,. (Round your answers to four decimal places.) x, (a) Assuming the distribution of soil water content in each field is mound-shaped and symmetric, use a 5% level of significance to test the claim that field A has, on average, a higher soil water content than field B. (1) What is the level of significance?
To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Treatment Sum of Squares, Error a. Use these data to test whether the population mean times for mixing a batch of material differ for the three manufacturers. Use a = 0.05. Mean Squares, Treatment 0000 Mean Squares, Error Calculate the value of the test statistic (to 2 decimals). 1 17 23 21 19 What conclusion can you draw after carrying out this test? - Select your answer - Manufacturer 2 28 26 31 27 + 3 18 17 21 20 The p-value is - Select your answer - What is your conclusion? - Select your answer - b. At the a = 0.05 level of significance, use Fisher's LSD procedure to test for the equality of the means for manufacturers 1 and 3. Calculate Fisher's LSD Value (to 2 decimals).
A traffic office in a country was in charge of a study where the safety of passengers in different types of cars was examined. Three models were examined; small cars, minivans and SUVS and six cars in each category were inspected. A special traffic accident simulator was used in the study and the pressure on the drivers' heads was measured. Umferðarastofa wanted to investigate whether there was a difference in the average pressure on the head during a collision in these three types of cars and used a variance analysis for this purpose. Failed to complete the square sum table, which can be seen below. weekend sum degree of freedom ave week sums between groups (area) 725.4 within groups (area) 178.6 XXX total Questions 1-3 deal with this study by the Traffic Authority. Question 1 What value should be given where xxx is in the table? 1 1.91 2. 2679 3. 3036.2 4. The information provided cannot be answered. Question 2 to be used to check if there is a difference in the average- What is the…
With Scheffe's S Test, perform the pairwise comparisons of the means and summarize the result of comparisons. Below are the data:
The chlorine added to swimming pools to combat relatively short shelf before it loses its effectiveness. Records indicate that the mean shelf life of a 5 gallon jug of chlorine is 2,160 hours (90 days). As an experiment, Holdlonger was added to the chlorine to whether it would increase the shelf life of the chlorine. A sample of nine jugs of chlorine had these shelve lives (in hours): 2,159, 2, 170, 2,180, 2,179, 2,160, 2,167, 2,171, 2,181 and 2,185. At the .025 significance level, has Holdlonger increased the shelf life of the chlorine? S=9.3823, sample mean=2172.44 STATE THE NULL AND ALTERNATE HYPOTHESIS. Determine the critical value for the decision rule.
The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total enrollment; police, employed officers. Use the estimated OLS models to answer the questions below: Model A: In(crime) = -6.631 + 1.270ln(enroll), (1.034) (.110) .5804 n = 97; R² = Model B: In(crime) = -4.794+.923ln(enroll) +.516ln(police), (.144) (.149) (1.112) n = 97; R² = .632 Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). What is the conclusion of your test using a significance level of .01? Reject Fail to reject O Not enough information.
The amount of money earned in a day by Ms. Anne’s craft shop was recorded and displayed in the stem-and-leaf diagram shown below in Exhibit 1. Exhibit 1 Stem-and-leaf of Data: Amount of Money earned in a day in dollars Leaf Unit = 10 N = * 2 2595 323413 3 55779999 (**) 4 0001233 14 4 5569 *** 5 033445 5 7788 161 What is the median of the distribution? Use the stem-and-leaf diagram above to draw a box-and-whisker diagram. Comment on the skewness of the distribution.

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