the lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. (a) Find the probability of a pregnancy lasting more then 250 Days. (b) Find the Probabilty of a pregnancy lasting more than 280 days. these two problems can be solved by the same procedure.draw the diagram for each and discuss he difference. then, explain why the same procedure can be used.
the lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. (a) Find the probability of a pregnancy lasting more then 250 Days. (b) Find the Probabilty of a pregnancy lasting more than 280 days. these two problems can be solved by the same procedure.draw the diagram for each and discuss he difference. then, explain why the same procedure can be used.
the lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. (a) Find the probability of a pregnancy lasting more then 250 Days. (b) Find the Probabilty of a pregnancy lasting more than 280 days. these two problems can be solved by the same procedure.draw the diagram for each and discuss he difference. then, explain why the same procedure can be used.
the lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. (a) Find the probability of a pregnancy lasting more then 250 Days. (b) Find the Probabilty of a pregnancy lasting more than 280 days. these two problems can be solved by the same procedure.draw the diagram for each and discuss he difference. then, explain why the same procedure can be used.
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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question. Provide an appropriate response.
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120
(based on the data from the College Board ATP). If a sample of 15 students is selected randomly,
find the probability that the sample mean is above 500. Does the Central Limit theorem apply for
this problem?
True or False
The Central Limit Theorem states that as we increase our sample size towards infinity, the
distribution of sampled measurements tends to be approximately normal, regardless of the
shape of the population of individual measurements.
Based on the Central Limit Theorem:.
1) Give the approximate sampling distribution for the following quantity based on random
samples of independent observations:
X + .. + X00
where
E(X) = 100
V(x) = 400
100
2) What is the approximate probability the sample mean will be between 96 and 104?
The daily number of arrivals to a rural emergency room is a Poisson random variable with a mean
of 100 people per day. Use the normal approximation to the Poisson distribution to obtain the
approximate probability that 112 or more people arrive in a day.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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