Each situation described bellow requires inference about a mean or means. identify each as involving (1) a single sample, (2) matched pairs, or (3) two independent samples.

1- looking back on love. choose 40 romantically attached couples in their midtwenties. interview the man and woman separately about a romantic attachment they had at age 15 or 16. compare the attitudes of men and women.

2- chemical analysis. to check a new analytical method, a chemist obtains a reference specimen of known concentration from the national institute of standards and technology. she then makes 20 measurements of the concentration of this specimen with the new method and checks for bias by comparing the mean result with the known concentration.

3- chemical analysis, continued. another chemist is checking the same new method. he has no reference specimen, but a familiar analytic method is available. he wants to know if the new and old methods agree. he takes a specimen of unknown concentration and measures the concentration 10 times with the new method and 10 times with the old method.

When booking personal travel by air, one is always interested in actually arriving at one’s final destination even if that arrival is a bit late. the key variables we can typically try to control are the number of flight connections we have to make in route, and the amount of layover time we allow in those airports whenever we must make a connection. the key variables we have less control over are whether any particular flight will arrive at its destination late and, if late, how many minutes late it will be. for this assignment, the following necessarily-simplified assumptions describe our system of interest: the number of connections in route is a random variable with a poisson distribution, with an expected value of 1. the number of minutes of layover time allowed for each connection is based on a random variable with a poisson distribution (expected value 2) such that the allowed layover time is 15*(x+1). the probability that any particular flight segment will arrive late is a binomial distribution, with the probability of being late of 50%. if a flight arrives late, the number of minutes it is late is based on a random variable with an exponential distribution (lamda = .45) such that the minutes late (always rounded up to 10-minute values) is 10*(x+1). what is the probability of arriving at one’s final destination without having missed a connection? use excel.