answer questions and display graph Make a graph of the results of the experiment. Use the blue points (circle symbol) to plot the means for level 1 of factor A (A1). Use the orange points(square symbol) to plot the means for level 2 of factor A (A2). (Note: Line segments will automatically connect your points.)factor A, level 1factor A, level 22Level 1Level 2factor BUse the overall means and your graph to decide whether there appears to be a main effect for factor A, a main effect for factor B, and an interaction.YesNoMain effect for factor A?Main effect for factor B?Interaction?Treatment Mean The results of a two-factor, independent-measures, equal n experiment are summarized in the following matrix. The numerical value in each cell is themean score obtained from the sample in that treatment condition.Compute the overall means for the scores in A, the scores in Az, the scores in B1, and the scores in B2. Enter each of the means to the right of theappropriate row or below the appropriate column in the matrix.B2A.M = 9M = 9AzM = 5M = 5M =M =M =Make a graph of the results of the experiment. Use the blue points (circle symbol) to plot the means for level 1 of factor A (A1). Use the orange points(square symbol) to plot the means for level 2 of factor A (A2). (Note: Line segments will automatically connect your points.)factor A, level1factor A, level 2Level 1Level 2factor BTreatment Mean

The study is based on a two-factor, independent measures, equal n experiment. Equal n means that the…

Answered: The results of a two-factor,…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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An experiment is conducted to investigate the toxic effect of three chemicals, A, B, and C on the skin of rats. Three adjacent 1-inch squares are marked on the backs of 8 rats and each of the 3 chemicals is applied to each rat. The squares of the skin are then scored from 0 to 10, depending on the degree of irritation. The data on the outcome of the experiment are given in the following table: Rat 1 2 3 4 5 7 1.0 A B C| Rank A Rank B Rank C 6 5 3 11.5 6.0 1.5 9 8 4 23.0 20.0 3.0 6 11.5 23.0 1.5 6.0 20.0 11.5 16.5 20.0 23.0 6.0 16.5 11.5 11.5 16.5 6.0 11.5 6.0 16.5 5 6 7 8 Σyi 1.0 9 3 8 6 8 9 7 6 7 5 7 50 57 43 10 5 6 6 5 10 For the original data set 1-1 ij = 150, and ₁1-13 = 1006. From the ranks of the original data set the rank sums are RA = 97.5, RB = 128, Rc = 74.5 respectively. At a = 1%, is there sufficient evidence to support the research hypothesis that the probability distributions of skin irritation scores for the 3 chemicals differ in location? (a) Stating relevant…
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. What are the mean squares for Treatments? Provide your answer to the nearest 2 decimal places.
The results of a two-factor, independent-measures, equal n experiment are summarized in the following matrix. The numerical value in each cell is the mean score obtained from the sample in that treatment condition. Compute the overall means for the scores in A₁, the scores in A₂, the scores in B₁, and the scores in B₂. Enter each of the means to the right of the appropriate row or below the appropriate column in the matrix.
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. the p-value associated with the observed test statistic? Please provide your answer to the nearest fou decimal places.
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What are the sums of squares for Blocks? Provide your answer to the nearest 2 decimal places.
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. What is the conclusion for the null hypothesis that all treatment means are equal? O Do not reject HO. There is sufficient evidence to conclude that the average sales for all stores are not…
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 O 0.0642 and 0.0435 2 0.0642 and 0.0038 O 0,0435 and 0.0028 0.0038 and 0.0028 45 0.0028 and 0.0038 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha=0.01. 49 What are p-values to determine whether all…
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. What are the mean squares for error? Please provide your answer to the nearest two decimal places.
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance without blocking to test whether there is evidence of a significant difference in me sales different packa designs. Use alpha = 0.01. What are the sums of squares for treatments? Please provide your answer to the nearest two decimal places.
A company wishes to evaluate the effect of package design on one of its products, a certain brand of cereal. The four package designs are to be tested in different stores throughout a large city. There are 20 stores available for the study. The amount of cereal sold is known to vary depending on the size of the stores. The 20 stores are divided into five groups of four stores each by size. The following sales figures ($1000s) were obtained after a 1-month period. Stores Design A Design B Design C Design D 1 40 33 37 38 2 45 27 32 40 3 43 31 30 41 4 44 38 40 42 5 56 45 49 42 Enter the above data into a suitable software and then conduct an analysis of variance with blocking (analyze this data as a complete block design) to test further whether there is evidence of a significant difference in mean sales of different package designs. Use alpha = 0.01. What are the degrees of freedom for error?
A market research group wants to find out which of two brands of shoes causes blisters more often. They are considering three methods of gathering data: Method A: Randomly choose 100 people. Ask them what shoes they typically wear and how often they tend to get blisters. Method B: Randomly choose 50 people to wear one brand of shoes and another 50 to wear the other brand. Compare the number of blisters that each group gets over the course of a month. Method C: Find a group of 50 people that own the first brand of shoes, and another 50 people that own the second brand. Monitor how many blisters each group gets. Tell whether each method of gathering data is a survey, an observational study, or an experiment. Which option would give the most reliable results?
A researcher conducts a study to determine whether spending time outdoors improves happiness. She randomly assigns 42 participants into two groups. One group serves as the control group, while the treatment group is scheduled for outdoor activities 4 days per week. The researcher measures the happiness of each participant and the data reveal the following at the conclusion of her study: Treatment Group: n= 21, M, = 8, SS = 9 Control Group: n= 21, M, = 6, SS = 7 What type of design is this study (single-sample, independent measures, repeated measures) (a) State the null and alternate hypotheses (b) Using an alpha level of .05 (a = .05), identify the critical values of t for a 2-tailed test (c) Compute the standard error for this statistical analysis AND describe what this number tells you specifically for this type of design

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