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Like many behaviours, the proportion of drivers who use seat belts varies with factors such as age, sex, ethnicity and local laws. As part of a broader study, investigators observed a random sample of 117 female, Hispanic drivers in Boston; of these, 68 used their seat belts. What is the proportion of seat belt users in this sample? What is the proportion of non-users? Show that calculation of confidence intervals (CI) is legitimate for this sample (i.e. that use of the Normal approximation to the binomial is safe) then calculate the 95% and 99% CIs for the proportion of all female Hispanic drivers in Boston who wear seatbelts. Why is the 99% CI wider than the 95% CI?
Biologist estimates that 50% of the deer in a region carry a certain type of tick. For a sample of 300 deer selected at random, what is the chance that 155 or fewer deer have this tick?
Is the Euro fair? Soon after the Euro was introduced as currency in Europe, it was widely reported that someone had spun a Euro coin 250 times and gotten heads 140 times. We wish to test a hypothesis about the fairness of spinning the coin.
Assume that a random variable, x, is distributed according to a normal distribution with mean 12 and standard deviation 2. Find the z-value if:
What percent of sales representatives earn more than $42,000 per year?
Same survey showed that average length of time each store was in bbusiness is 6 years, with standard deviation of 25 years. Which is more variable, number of magazines or number of years.
At the 5% level of significance, test whether the proportion of internet users paying bills online is now more than 50%.
The diameters of oranges in a certain orchard are normally distributed with a mean of 5.26 inches and a standard deviation of 0.500 inches.
If 36 sand dollars are selected at random for collection, determine the probability that average diameter of those sand dollars is more than 3.80 centimeters. Suppose that variable is normally distributed.
Think of your favorite casino game (craps, black-jack, roulette, etc) and analyze the probabilities of a few different outcomes.
In you determine the GPA of 10 members of the class and then calculate the average, will the number you get necessarily be the same as the average GPA for the whole class? On what factors would you expect the reliability of the estimate to depend..
Explain finding value of test statistic and P-value also understand the result. At the .01 significance level can we compute that the mean fare has increased.
What can you conclude regarding the information? Who tends to order the most or least number of condiments?
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