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The Empirical Rule One measure of intelligence is the Stanford Binet Intelligence Quotient (IQ). IQ scores have a bell-shaped distribution with a mean of 100 and a standard deviation of 15.
(a) What percentage of people has an IQ score between 70 and 130?
(b) What percentage of people has an IQ score less than 70 or greater than 130?
(c) What percentage of people has an IQ score greater than 130?
The Empirical Rule SAT Math scores have a bell-shaped distribution with a mean of 515 and a standard deviation of 114.
Source: College Board, 2010
(a) What percentage of SAT scores is between 401 and 629?
(b) What percentage of SAT scores is less than 401 or greater than 629?
(c) What percentage of SAT scores is greater than 743?
Using the sample information given in the above exercise, the p value for testing Ho versus Ha can be calculated to be 0.0057
Given the following data from two independent samples, conduct a one-tailed hypothesis test to determine if the first sample mean is larger than the second sample mean, given a 0.05 level of significance.
a population has a mean of 129. if a random sample of 8 items from the population results in the following sampled
suppose that 84 of hypertensives and 23 of normotensives are classified as hypertensive by an automated blood-pressure
Let {N1(t),t ≥ 0} and {N2(t),t ≥ 0} be two independent Poisson processes, with rates λ1 and λ2, respectively. We defineN(t) = N1(t) - N2(t). (a) Explain why the stochastic process {N(t) t ≥ 0} is not a Poisson process.
According to a report by Scarborough Research, the average monthly household cellular phone bill is $73. Suppose local monthly household cell phone bills are normally distributed with a standard deviation of $11.35.
Assume that the smiling time of eight-week old babies, in seconds, follows a uniform distribution between 0 and 23 seconds, inclusive. This means that any smiling time from 0 to and including 23 seconds is equally likely.
State the decision rule using the .01 significance level. Compute the value of chi-square. What is your decision regarding H0?
a farmer was interested in determining how many grasshoppers were in his field. he knows that distribution of
You work for a large company that uses PCs running Windows. The company has standardized on Microsoft Offi ce products (Word, Excel, Powerpoint, and so on).
Estimate the percent that did not have any dental expense. What was the cost for the 10 percent of employees who incurred the highest dental expense?
Use data visualization techniques (graphical plotting) to see what the data will tell you - calculate correlations among the portfolio, SH, and RWM.
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