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A recent study of robberies for a certain geographic area showed an average of 1 robbery per 20,000 people. In a city of 80,000 people, find the probability of the following:
A study of 35 white mice showed that their average weight was 4.7 ounces. the standard deviation of the population is 0.9 ounces. which of the following is the 95% confidence interval for the mean w
The prices in dollars for a graphing calculator are shown below for 8 online vendors. Estimate the population standard deviation in price with 90% confidence.
Calculate the test statistic for a test of the hypothesis that the mean weight loss for the two groups is the same. Give your answer to two decimal places.
In a certain city, 46% of the people (adults) classify themselves as independent, 30% classify themselves as liberals and 24% as conservatives. In a recent election, 35% of the independent people v
A engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights w
A psychologist would like to evaluate the relationship between academic ability as measured by the ACT and academic performance measured by this stat test. Use a Pearson correlation to measure and d
Assume that womens heights are normally distributed with a mean given by u=62.3in and a standard deviation given by Standard deviation = 2.7 in. If 1 woman is randomly selected, find the probability
Assume the population proportion is 0.17 and a simple random sample of 850 households will be selected from the population. What is the probability that the sample proportion will be within Â&
The weights of men are normally distributed with mean of 173 lb and a SD of 30 lb. Suppose we choose a random sample of 32 men. Find the probability that the mean of that sample will exceed 181.25 l
A survey revealed that men spend an average of 11.4 min in the shower with standard deviation of 1.8 min. Assume a normal distribution. If 33 men are randomly selected find the probability that thei
When an opinion poll calls residential telephone numbers at random, only 20% of the calls reach a live person. You watch the random dialing machine make calls. X is the number of calls until the fir
The capacity of an elevator is 10 people or 1520 pounds. The capacity will be exceeded if 10 people have weights with a mean greater than 1520/10=152 pounds. Suppose the people have weights that are
If a random variable has the probability density defined as fx(x)=2x, 0<=x<=1, identify the corresponding hazard function
Suppose that someone has hired you to determine whether they should refinance their home. This customer has a $375,200 30-year mortgage at 5.67% interest compounded monthly. For the last 6 years, th
We assume that the conditional distribution of X|N= n is binomial (n, theta) and that N is Poisson (lambda). Show that X has Poisson(lambda*theta) distribution in either of two ways. i) by deriving
In rolling a die, the probability of obtaining 2, 3, or 4 in three statistically independent throws is?
If a male passenger is rndomly selected, find the probability that he will fit through the doorway without bending. If half of the 50 passengers are men, find the probability that the mean height of
Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C. Find the probability that a randomly selected thermometer reads gr
Suppose it has been observed that touchdowns scored in a game by your favorite football team are Poisson random variables. The rate is lambda = 4 per game. We know from the lecture that the time unt
Find a 95% confidence interval for the difference between the proportions of damaged shipments.
You conducted a Chi-Square Goodness of Fit Test in your ASCI 691 capstone project. Unfortunately, you did not get the sample size you had hoped for during your research.
To decide whether two different types of steel have the same true average fracture toughness values, n specimens of each type are tested, yielding the following results.
Using the traditional formula, a 95% CI for p1 - p2 is to be constructed based on equal sample sizes from the two populations. For what value n (= m) will the resulting interval have width at most 0