Exam 8: Anova to Compare Means

Use the following to answer the questions below: Breakfast is often considered to be the most important meal of the day. Data on the amount of sugar (g) per serving for randomly selected cereals from three different brands (General Mills, Kellogg's, and Kashi) are summarized in the provided plot and table. -Construct the ANOVA table and test, at the 5% significance level, for a difference in mean amount of sugar among the three brands. Use two decimal places in all decimal values. Is there enough evidence to conclude that the average amount of sugar per serving differs significantly among the three brands.

Use the following to answer the questions below: Penalties in ice hockey occur when a player breaks one of the rules of the game. In most cases, when a penalty occurs, the offending player is placed in the penalty box (the length of time spent in the penalty box depends on the severity of the penalty), and the team has to play with fewer people on the ice, which can result in an advantage for the opposing team. The number of penalties per game for several randomly selected games are displayed for three college men's ice hockey teams. ‪ -Construct the ANOVA table and test, at the 5% significance level, for a difference in mean number of penalties among these three hockey teams. Use two decimal places when rounding decimal values. Include the details of your test.

Use the following to answer the questions below: Breakfast is often considered to be the most important meal of the day. Data on the number of calories per serving for randomly selected cereals from three different brands (General Mills, Kellogg's, and Kashi) are summarized in the provided plot and table. -Use the summary information and the fact that the sums of squares for groups is SSG = 27,476 and for error is SSTotal = 152,379 to complete an ANOVA table and find the F-statistic. Use the F-distribution to find the p-value and state the conclusion of the test in context (using ).

Use the following to answer the questions below: Breakfast is often considered to be the most important meal of the day. Data on the amount of sugar (g) per serving for randomly selected cereals from three different brands (General Mills, Kellogg's, and Kashi) are summarized in the provided plot and table. -Are the conditions for using ANOVA reasonably satisfied?

Use the following to answer the questions below: An environmental studies student working on an independent research project was investigating metal contamination in the St. Lawrence River. The metals can accumulate in organisms that live in the river (known as bioaccumulation). He collected samples of Quagga mussels at three sites in the St. Lawrence River and measured the concentration of copper (in micrograms per gram, μg/g or mcg/g) in the mussels. His data are summarized in the provided table and plot. He wants to know if there are any significant differences in mean copper concentration among the three sites. -Computer output from the analysis provides the following grouping information: ? Means that do not share a letter are significantly different. Based on this output, which sites have significantly different means? Briefly justify your answer.

Use the following to answer the questions below: Two sets of sample data, A and B, are given. Without doing any calculations, indicate in which set of sample data, A or B, there is likely to be stronger evidence of a difference in the population means. -Some computer output from an analysis of variance is provided. How many groups are there?

Use the following to answer the questions below: Breakfast is often considered to be the most important meal of the day. Data on the number of calories per serving for randomly selected cereals from three different brands (General Mills, Kellogg's, and Kashi) are summarized in the provided plot and table. -Computer analysis gives a p-value of 0.001. Using $\alpha$ = 0.05, what is the conclusion of the test, in context?

Use the following to answer the questions below: Summary statistics from a dataset and the corresponding computer analysis of variance output are provided. -Test for a difference in population means between groups A and C. Use α = 0.05 and show all details of the test. Round the test statistic to two decimal places.

Use the following to answer the questions below: Two sets of sample data, A and B, are given. Without doing any calculations, indicate in which set of sample data, A or B, there is likely to be stronger evidence of a difference in the population means. -

Use the following to answer the questions below: Two sets of sample data, A and B, are given. Without doing any calculations, indicate in which set of sample data, A or B, there is likely to be stronger evidence of a difference in the population means. -

Use the following to answer the questions below: Penalties in ice hockey occur when a player breaks one of the rules of the game. In most cases, when a penalty occurs, the offending player is placed in the penalty box (the length of time spent in the penalty box depends on the severity of the penalty), and the team has to play with fewer people on the ice, which can result in an advantage for the opposing team. The number of penalties per game for several randomly selected games are displayed for three college men's ice hockey teams. ‪ -Use the summary information to compute the three sums of squares needed for using ANOVA to test for a difference in mean number of penalties among these three teams. Round each to two decimal places.

Use the following to answer the questions below: Penalties in ice hockey occur when a player breaks one of the rules of the game. In most cases, when a penalty occurs, the offending player is placed in the penalty box (the length of time spent in the penalty box depends on the severity of the penalty), and the team has to play with fewer people on the ice, which can result in an advantage for the opposing team. The number of penalties per game for several randomly selected games are displayed for three college men's ice hockey teams. ‪ -ANOVA output gives a p-value of 0.025 for the difference in mean number of penalties among the three teams. Using $\alpha$ = 0.05, what is the conclusion of the test in context?

Use the following to answer the questions below: An environmental studies student working on an independent research project was investigating metal contamination in the St. Lawrence River. The metals can accumulate in organisms that live in the river (known as bioaccumulation). He collected samples of Quagga mussels at three sites in the St. Lawrence River and measured the concentration of copper (in micrograms per gram, μg/g or mcg/g) in the mussels. His data are summarized in the provided table and plot. He wants to know if there are any significant differences in mean copper concentration among the three sites. -Computer output from the analysis provides the following information about the pairwise differences: Site = 1 subtracted from: Site = 2 subtracted from: Based on this output, which sites have significantly different means?