Exam 8: Anova to Compare Means

Use the following 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. -Should you conduct inference after the ANOVA to investigate differences among the pairs of means in this situation? Briefly explain why or why not.

Use the following 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. -Computer output from the analysis is provided: One-way ANOVA: Sugar (g) versus Brand Test, at the 5% level, if there is evidence that the average amount of sugar per serving differs significantly among the three brands. Include all details of the test.

Use the following 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. -Computer output from the analysis is provided: One-way ANOVA: Penalties versus Team What is the F-statistic? What is the p-value? Using, = 0.05, what is the conclusion of the test, in context?

Use the following A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. -Complete the ANOVA table below for doing this test using the template started below. Use two decimal places in the F statistic.

Use the following 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. Round decimal answers to two decimal places.

Use the following Summary statistics from a dataset and the corresponding computer analysis of variance output are provided. -Find a 95% confidence interval for the difference in the means of Populations A and B. Round the margin of error to three decimal places.

Use the following A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. -Based on the ANOVA results, test at the 5% level whether the data provide evidence of a difference in mean electricity use on Sundays and Mondays. Use three decimal places in the test statistic.

Use the following 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 Summary statistics from a dataset and the corresponding computer analysis of variance output are provided. -What is the pooled standard deviation?

Use the following 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. Give a brief reason, comparing means and variability, for your answer. -

Use the following 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 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. Give a brief reason, comparing means and variability, for your answer. -

Use the following 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. Give a brief reason, comparing means and variability, for your answer. -

Use the following 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, 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 -Use the summary information and results from the ANOVA to construct 95% confidence intervals for the differences in each pair of means: (a) Site 1 and Site 2 (b) Site 1 and Site 3 (c) Site 2 and Site 3 In each case, round the margin of error to two decimal places. Based on your work, which sites have significantly different means? Briefly justify your answer. Because this confidence interval contains 0, there is no evidence that Sites 2 and 3 have significantly different mean concentrations of copper.

Use the following 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 F-distribution to find the p-value and state the conclusion of the test in context (using = 0.05).

Use the following 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 output provides the following grouping information: Means that do not share a letter are significantly different. Based on this output, which brands have significantly different means? Briefly justify your answer.

Use the following A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. -Use the F-distribution to find the p-value for the test. Using = 0.05, does the mean electricity usage differ significantly by day of the week? Make a conclusion in context.

Use the following 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 output from Minitab is provides the following information about the pairwise differences: Brand = General Mills subtracted from: Brand = Kashi subtracted from: Based on this output, which brands have significantly different means? Briefly justify your answer.

Use the following A small university is concerned with monitoring its electricity usage in its Student Center. Specifically, its officials want to know if the amount of electricity used differs by day of the week. They collected data for nearly a year, and the relevant summary statistics are provided. Note that electricity usage is measured in kilowatt hours. -Use the data and ANOVA results to construct a 95% confidence interval for the difference in mean electricity use between Saturdays and Sundays. Round the margin of error to two decimal places. Does your interval suggest that a significant difference in mean electricity use for these two days? Briefly explain.

Use the following 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? Explain briefly.