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A decision maker is interested in estimating a population proportion. A sample of size n = 150 yields 115 successes. Based on these sample data, construct a 90% confidence interval estimate for the
Consider the continuous triangular distribution y=x/4.5, where 0<x<3. a) What is the probability of 0<x<3? b) what is the probability of x=2? C) What is the probabbility 0<x<1? D)
1. Suppose you are calculating an Analysis of Variance for a completely randomized design. You are testing the hypotheses:
Airline managers expect that only about 15% will say "yes." Based on this assumption, what size sample should the airline take if it wants to develop a 95% confidence interval estimate for the popul
The following probability distribution represents the number of people living in a Household (X), and the probability of occurrence (P(X)). Compute the Expected Value (mean), the Variance and the S
The lifetime of a semiconductor laser has a lognormal distribution, and it is known that the mean and standard deviation of lifetime are 10000 and 20000, respectively.
The weights of ripe watermelons grown at Mr. Smith's farm are normally distributed with a standard deviation of 2.7 lb. Find the mean weight of Mr. Smith's ripe watermelons if only 2% weigh less th
The number of customers entering a store on a given day is Poisson distribution with mean lambda =10. The amount of money spent by a customer is uniformally distributed over (0, 100). Find the mean
Using this data, obtain and interpret a 95% confidence interval estimate for the proportion of male passengers in the population who would have been affected by the one-bag limit.
The 70-year long-term record for weather shows that for New York State, the annual precipitation has a mean of 39.84 inches and a standard deviation of 4.27 inches. The annual precipitation amount h
Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $90,000.
A poker hand consists of 5 cards chosen randomly from a standard 52 card deck. a) Find the chance that you are dealt a poker hand with exactly 2 aces.
A cell phone service provider has selected a random sample of 20 of its customers in an effort to estimate the mean number of minutes used per day. The results of the sample included a sample mean o
A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 3 percentage points with 95% con
Suppose that 13% of all steel shafts produced by a certain process are nonconforming but can be reworked (rather than having to be scrapped). Consider a random sample of 200 shafts, and let X denote
1. A box contains 5 green, 6 red, 2 yellow, and 8 blue marbles. Four marbles are drawn from the box at the same time. a) what is the probability that none of the marbles are green?
The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a
Conduct the appropriate hypothesis test using a signifigance level equal to 0.05
In a trial of 250 patients who received 10-mg doses of a drug daily, 30 reported headaches as a side effect. A) Obtain a point estimate for the population proportion of patients who received 10-mg d
Construct a confidence interval of the population proportion at the given level of confidence.
A human gene carries a certain disease from a mother to her child with a probability rate of 0.58. That is, there is a 58% chance that the child becomes infected with the disease. Suppose a female c
Elongation measurements are made on 10 pieces of steel, five of which were treated with Method A (aluminum plus calcium) and the remaining five with Method B (aluminum only). It is conjectured that
Houses with and without air conditioners on nine different streets in the certain city are shown below. Test (at the 5% level) the null hypothesis that having an air conditioner is independent of str
A group of students at a school take a history test. The distribution is normal with a mean of 25 and a standard deviation of 4. The top 5% of the scores get to compete in a statewide history contes