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With larger samples, the sample mean is more likely to fall close to the population mean. For random sampling with a large sample size n, the sampling distribution of the sample mean is approximately a normal distribution. This result applies no matter what the shape of the probability distribution from which the samples are taken. Central Limit Theorem: How Large a Sample?
The recorder has an instantaneous failure rate of 0.0002 failures/hour (constant rate). What is the probability that the system is functioning after 1000 hours? (Show work).
Sales are above 671,000 copies, and 10% of the time, sales are above 712,000 copies. Find the mean and the variance of annual sales.
If 16 out of 20 spins just came up black, determine the probability that next spin is going to be red?
A study conducted by the research department of a pharmaceutical company claims that the annual spending (per person) for prescription drugs for allergy relief,is greater than or equal to the annual spending (per person) for non-prescription aller..
Assume salaries are normally distributed with a standard deviation of $4,500. What is the probability of a new graduate receiving a salary between $45,000.
Is there a significant difference the four testing conditions?
Suppose that we generate a random sample from a given distribution. If it is desired that the probability that the sample mean will be within 2 standard deviations of the mean of the distribution is at least .99, how large should the sample size b..
Compute the marginal frequencies. (List the totals for the age groups and localities). What percent of the urban dwellers are over 50? What percent of the Over-50 residents live in rural areas?
Develop a probability for the number of students in the sample who watch soap operas.
At 95% confidence using the critical value approach, determine if the proportion of females in the company is significantly less than 50%.
Consider a random sample of six families who are asked if their children have an influence on their vacation destination.
At the .10 significance level, can we conclude that there is a difference in the length of time the two types of treatment lasted?
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