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ANOVA
Analysis of Variance (ANOVA) is used to test the equality of the means of three or more groups based on sample data. ANOVA is really a test of means even though it sounds like a test of variance. Building on the hypothesis testing techniques discussed on the first two weeks, ANOVA uses an F test (rather than a Z or t test) to compare multiple means. A hypothesis test using an F statistic can determine whether three or more sample means are statistically significantly different from each other, otherwise one may conclude that they are from the same population. The concepts of variance and sums of squared differences used in ANOVA can be used to evaluate the output of linear regression, the topic of Week Four.
Write complete linear programming model (All three parts) to find out the number of items to be transported from models A, B, C, and D to nodes 1 and 2 at minimum cost.
a. What is the probability that one randomly selected student scores above 1100 on the GRE? b. Describe the sampling distribution of the sample mean for the 16 students.
Thirty-five fourth-grade students were asked the traditional question "what do you want to be when you grow up? The responses are summarized in the following table:
Suppose four heads appeared face up on four tosses of a coin. what is the probability that a head will appear face up in the next toss of the coin?
At the significance level 0.01 is there sufficient evidence to conclude that a difference exists in the mean time required for the elimination of the rash?
Average electric use was studied.a previously known population standard deviation was 450KWH. a sample of 81 houses was studied and found to have a mean of 1858 KWH. Find the 95% confidence interval for the true mean.
At 0.05 level of significance, is there evidence of significant relationship between age group and where people mainly get their news? If so, describe the relationship.
Below are the sample times in minutes. At the .05 significance level, can we conclude that there is a difference in their mean times?
What is the probability that a roulette ball will come to rest on an even number other than 0 and 00?
We are asked to investigate the hypothesis that the number of crimes is related to police expenditures because states with higher crime rates are likely to increase their police force, thereby spending more on the number of officers on the street.
A beverage company is trying to ?nd out the distribution of the breaking strength of their glass bottles. Fifty bottles are selected at random and tested for breaking strength, with the following results (in pounds per square inch):
Identify the independent and dependent variables. Perform a regression analysis on the data.
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