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Scores on a certain test are normally distributed and a researcher wishes to estimate the mean score achieved by all students on the test. He was told that he would need a sample size of 100 to assu
On average how much difference should exist between the population mean and the sample mean for n = 4 scores randomly selected from the population?
If the 80% of the connectors are kept dry and 20% are wet what proportion of the connectors fail during the waranty period.
The number of patients arriving at a medical emergency can be modelled as poisson process with a mean of 25 arrivals per hour. Determine the probability that there are no patients in an interval of
A certain zoo is know to collect "unusual" animals from different animal groups. One ostrich specimen in the zoo weighs 229 kg and one elephant specimen weighs 8150 kg.
Assume every bus in Gainesville follows an exponential distribution with a mean of 7.5 minutes. From a bus stop, we randomly survey 100 different buses (i.e., not of the same line).
The alkalinity level of water specimens collected from the Han River in Seoul, Korea, has a mean of 50 milligrams per liter and a standard deviation of 3.2 milligrams per liter.
A U. S. citizen 15 years of age or older is selected at random. Determine the probability that the person selected is over 64, given that the person does not live with spouse.
A certain brand of phone is supposed to weight 25 grams. We assume that the phone weight follow a normal distribution with the standard deviation off s=3 grams.We buy 4 such phones and compute the m
Let X be normally distributed random variable with mean u and variance s2= 4.84. Determine the the size of the sample required to be 90% confident that the error in the estimation is of u is at most
There is a 25% chance that a fuse of a certain type is defective. Approximate the probability of having more than or equal to 15 defective fuses in a box containing 30 fuses.
Let X equal to the grade of a student in a stat course. Suppose that X is N(u, 100). Using the traditional method of teaching, the average student grade was u=60.
A manufactured battery is defective with the probability of 5%.In a lot of n=200 batteries, approximate the probability that at most 12 car batteries are defective.
An electronic company manufactures resistors that have a mean resistance of u= 100 ohm and a standard deviation s= 10 ohm. Find the probability that a random sample of n= 36 resistors will have a re
The diameter of a certain buleet is known fo have a normal distribution with Standard deviation= 0.01cm. A random sample of size 10 yields an average diameter of 1.50cm. Find a 99% two sided confide
In a test of a method of gender selection, a trial is designed so that five couples give birth to five children. How many gender sequences are possible?
You have a box with 3 red, 4 white, and 2 blue balls in it. Suppose you take two balls out of a box without replacement what is the probability that the second is blue?
Colormetric method is used to test lake water for nitrates. If water specimens contain nitrates, a solution dropped into the water will cause the specimen to turn red 95% of the time.
A sample space (S) contains four sample points E1, E2, E3, E4. List all possible events in S including the null event.
In a sample of discharge of suspended solids from a phosphate mine, it was noted that the mean daily discharge was 27 mg/L and variance was 196. Assuming that the daily discharge is approximately no
If the coach must start a lineup with one center, two forwards and two guards, how many possible lineups can the coach choose?
Suppose two customers are chosen at random from the list of all customers. What is the probability that both customers will pay their monthly bill in full?
One year later a survey of computer workstations found 106 Sun, 73 HP, 84 IBM, 45 Digital and 90 other. Test at the 10% level of significance whether changes have occurred during the 1-year period.
Weight status category and the corresponding percentiles and BMI ranges for 10-year-old boys in the states table.