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Density of the earth In 1798, the English scientist Henry Cavendish measured the density of the earth several times by careful work with a torsion balance. The variable recorded was the density of the earth as a multiple of the density of water. Here are Cavendish's 29 measurements:12 (a) Enter these data into your calculator and make a histogram. Include a sketch of the graph on your paper. Then calculate one-variable statistics. Describe the shape, center, and spread of the distribution of density measurements. (b) Calculate the percent of observations that fall within 1, 2, and 3 standard deviations of the mean. How do these results compare with the 68-95-99.7 rule? (c) Use your calculator to construct a Normal probability plot. Include a sketch of the graph on your paper. Interpret this plot. (d) Having inspected the data from several different perspectives, do you think these data are approximately Normal? Write a brief summary of your assessment that combines your findings from parts (a) through (c).
Perform the chisquare test for a uniform distribution. At α = .05, does this sample contradict the assumption that sales are the same for each beverage?
Name two variables that have symmetric distributions, two that have distributions skewed to the right, and two that have distributions skewed to the left.
In problem, suppose the confidence interval contained the value 0.00. How could the banker's attorney use this information to defend his client?
A unit for a telecommmunication system is to be designed so that the probability that it fails during a period of five years does not exceed 0.4. the unit is to be made up of (n) effectively identical componants each with an exponential failure di..
If an auditor takes a random sample of 36 accounts what is the probability that the mean balance will be less than 45?
You will perform the non-parametric version of the tests you used in Activity 4. In each case, assume that you opted to use the non-parametric equivalent rather than the parametric test. Using the data files from earlier activities, complete the foll..
there is an issue with treatment side effects individuals with a certain variant of the fictitous cehs gene suffer
Test an appropriate hypothesis and state your conclusion.- If your conclusion is incorrect, which type of error did you commit?
Finds the standard deviation of the time to prepare, copy and mail their tax return is 80 minutes. What is the standard error of the mean in this example?
Are there any problems to the corporation or to Ms. Zamora?
What is the smallest sample size for which probability calculations regarding this condition can rely on normal approximations?
Supposing that both populations are normally distributed, construct a 99% confidence interval for the ratio of the two population variances.
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