A company uses six lling machines of the same make and model to place detergent into cartons that show a label weight of 32 ounces. The production manager has complained that the six machines do not place the same amount of ll into the cartons. A consultant requested that 20 lled cartons be selected randomly from each of the six machines and the content of each carton carefu1ly weighed. The observations (stated for convenience as deviations from 32.00 ounces) follow. Assume that ANOVA model (16.2) is applicable. j
i 1 2 3 18 19 20
1 14 .20 .07 .07 .01 .19
2 .46 .11 .12 .02 .11 .12
3 .21 .78 .32 .50 .20 .61
4 .49 .58 .52 .42 .45 .20
5 .19 .27 .06 .14 .35 .18
6 .05 ·05 .28 .35 .09 .05
a. Prepare aligned box plots of the data. Do the factor level means appear to differ? Does the variability of the observations within each factor level appear to be approximately the same for all factor levels?
b. Obtain the fitted values.
c. Obtain the residuals. Do they sum to zero in accord with (16.21)?
d. Obtain the analysis of variance table.
e. Test whether or not the mean fill differs among the six machines; control the α risk at 05. State the alternatives, decision rule, and conclusion. Does your conclusion support the production manager's complaint?
f. What is the P-value of the test in part (e)? Is this valtue consistent with your conclusion in part (e)? Explain.
g. Based on the box plots obtained in part (a), does the variation between the mean fills the six machines appear to be large relative to the variability in fills between cartons for any given machine? Explain.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

agree

step-by-step explanation:

the correct answer is c

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