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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.
Comparing Computer Results. Refer to the Minitab display below. The probabilities were obtained by entering the values of n=6 and p = 0.0167.
an inspector chooses a sample of parts coming from an automated lathe by visually inspecting all parts and then
Examine several newspapers and magazines and describe at least three examples of functions that appear. What is the domain and range of each function?
Can the five-year rate of return be estimated based on the assets of the Fund? Determine the regression equation. Use assets as the independent variable.
Bbut only 1 percent of those closed will have something stolen. If a garage is robbed, what is the probability the doors were left open?
significance testing. t-tests1. in the course of the thesis work a student develops a new approach for the solution of
Using the original data, test at the 5% significance level that the population standard deviation of studying times is greater than 4 hours.
Florida real estate. The table on text page 614 gives the appraised market values and actual selling prices (in thousands of dollars) of condominium units sold in a beachfront building over a 93-month period.
Regression line drawn as y = c + 1075x, when x was 2, and y was 239, given that y intercept was 11. Calculate the residual
What percentage of the checkout times was at least 4 minutes? Calculate the mean of this frequency distribution. Calculate the standard deviation of this frequency distribution
She decides to sample lakes by randomly dropping grains of rice on the map and measuring the area of the lakes hit by the rice. Comment on whether or not you think this is a good sampling plan.
In a survey to estimate average household monthly medical expenses, 500 households were selected at random from a population of 5000 households. Of the selected households, 336 had children in the household and 164 had no children.
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