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Overall standard deviation versus the pooled standard deviation. The last line of the summary table given in given Exercise gives the mean and the standard deviation for all the data combined. Compare this standard deviation with the pooled standard deviation that you would use as an estimate of the model standard deviation. Explain why you would expect this standard deviation to be larger than the pooled standard deviation.
Exercise E Exam accommodations and end-ofterm grades. The Americans with Disabilities Act (ADA) requires that students with learning disabilities (LD) and/or attention deficit disorder (ADD) be given certain accommodations when taking examinations. One study designed to assess the effects of these accommodations examined the relationship between end-of-term grades and the number of accommodations given.10 The researchers reported the mean grades with sample sizes and standard deviations versus the number of accommodations in a table similar to this:
(a) Plot the means versus the number of accommodations. Is there a pattern evident?
(b) A large number of digits are reported for the means and the standard deviations. Do you think that all these digits are necessary? Give reasons for your answer and describe how you would report these results.
(c) Should we pool to obtain an estimate of an assumed standard deviation for these data? Explain your answer and give the pooled estimate if your answer is "Yes."
(d) The small numbers of observations with 3 or 4 accommodations lead to estimates that are highly variable in these groups compared with the other groups. Inclusion of groups with relatively few observations in an ANOVA can also lead to low power. We could eliminate these two levels from the analysis or we could combine them with the 37 observations in the group above to form a new group with 2 or more accommodations. Which of these options do you prefer? Give reasons for your answer.
a company has recorded data on the weekly sales for its product y the unit price of the competitors product x1 and
in a survey of 891 us adults who follow baseball in a recent year 184 said that the boston red sox would win the world
Solve each compound inequality. State the solution set using interval notation and graph it.
Insert the plot your created into a word document. Discuss the scatter plot and regression line. Are their outliers? Does your correlation coefficient support your analysis? Does it tell you anything else
suppose there are 10 drawers each containing two coins. drawers 1 and 2 contain only gold coins while in drawers 34 and
Refer to Exercise 12.16 (p. 712). in which a robotics clamp manufacturer was concerned about gap width. a. Construct an R-chart for the gap width.
a) What is the probability that none of these vehicles requires warranty service? Use the Binomial equation for P(X=0).
how many main effects and interactions could you have in a 4 x 6 factorial
Use the cumulative distribution function to find the probability that between 12:34 and 12:35 P.M. more than two calls will arrive at the exchange.
Using the distribution of the sample means, according to the 68-95-99.7 rule, how far away are approximately 95% of all of the possible sample means ('s) from 40 years?
Below are revenue and profit (both in $ billions) for nine large entertainment companies.
Calculate the correlation coefficient. What is the coefficient of determination from these sample statistics? What does this coefficient indicate?
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