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In How It Works 15.2, we calculated the correlation coefficient between students' age and number of hours they study per week. The mean for age is 21, and the standard deviation is 1.789. The mean for hours studied is 14.2, and the standard deviation is 5.582. The correlation between these two variables is 0.49. Use the z score formula.
a. João is 24 years old. What would we predict for the number of hours he studies per week?
b. Kimberly is 19 years old. What would we predict for the number of hours she studies per week?
c. Seung is 45 years old. Why might it not be a good idea to predict how many hours per week he studies?
d. From a mathematical perspective, why is the word regression used?
Christofides' Traveling Salesman Heuristic) Consider a symmetric traveling salesman problem where the arc costs are nonnegative and satisfy the triangle inequality (cf. the preceding exercise).
The mean annual salaries paid to male and female employees of the company were EURO 32.000,- and 24.000,- respectively. Determine the percentage of males and females employed by the company.
a pollster collects the following data for 350 college
State appropriate null and alternative hypotheses. Report the test statistic, its degrees of freedom, and the P-value. What do you conclude?
A student wanted to study the ages of couples applying for marriage licenses in his county. He studied a sample of 94 marriage licenses and found that in 67 cases the husband was older than the wife.
Consider a situation where a particular product is produced and placed in in-process inventory until it is needed in a subsequent production process.
A survey was mailed to a total of 400 students; 100 were randomly selected from each of the freshman, sophomore, junior and senior classes last semester. What sampling method was used?
Determine a 95% confidence interval for the population mean.
experiment consists of tossing a coin h t and then selecting a vowel a e i o u.a. what is the sample space in this
(a) Show that this problem can be converted to an asymmetric assignment problem where all persons must be assigned. Hint: For each person i introduce an artificial object i and a zero cost arc (i, i ).
the population mean annual salary for flight attendants is 56275. a random sample of 48 flight attendants is selected
For random variable W of Example 4.10, we can generate random samples in two different ways: 1. Generate samples of X and Y and calculate W = Y/X.
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