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use the result of exercise 13 to rework exercise 47 given that we have good reason to believe that the proportion we
in a random sample of visitors to a famous tourist attraction 84 of 250 men and 156 of 250 women bought souvenirs
among 500 marriage license applications chosen at random in a given year there were 48 in which the woman was at least
with reference to exercise 30 construct a 95 confidence interval for the true variance of the skull length of the given
with reference to exercise 32 construct a 90 confidence interval for the standard deviation of the population sampled
with reference to exercise 24 use the large-sample confidence-interval formula of exercise 19 to construct a 99
with reference to exercise 25 use the large-sample confidence-interval formula of exercise 19 to construct a 98
with reference to exercise 35 construct a 98 confidence interval for the ratio of the variances of the two populations
decide in each case whether the hypothesis is simple or compositea the hypothesis that a random variable has a gamma
a single observation of a random variable having a hyper geometric distribution with n 7 and n 2 is used to test the
with reference to example 1 what would have been the probabilities of type i and type ii errors if the acceptance
a single observation of a random variable having a geometric distribution is used to test the null hypothesis theta
a single observation of a random variable having an exponential distribution is used to test the null hypothesis that
let x1 and x2 constitute a random sample from a normal population with sigma2 1 if the null hypothesis mu mu0 is to
a single observation of a random variable having a uniform density with alpha 0 is used to test the null hypothesis
show that if mu1nbsp0nbspin example 4 the ney man- pearson lemma yields the critical regionexample 4a random sample of
use the ney man-pearson lemma to indicate how to construct the most powerful critical region of size alpha to test the
with reference to exercise 12 if n 100 theta0nbsp 040 theta1nbsp 030 and alpha is as large as possible without
a single observation of a random variable having a geometric distribution is to be used to test the null hypothesis
given a random sample of size n from a normal population with mu 0 use the ney man-pearson lemma to construct the most
suppose that in example 1 the manufacturer of the new medication feels that the odds are 4 to 1 that with this
the number of successes in n trials is to be used to test the null hypothesis that the parameter theta of a binomial
when we test a simple null hypothesis against a composite alternative a critical region is said to be unbiased if the
an airline wants to test the null hypothesis that 60 percent of its passengers object to smoking inside the plane