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Question: A researcher in the West Coast of the U.S. wants to estimate the amount of a newly discovered antibody in human blood. His research funds will only let him obtain blood samples from 41 people, so he decides to construct a two-sided 90% confidence interval thinking it will give him a more precise estimate of the mean antibody level in the population. Another researcher on the East Coast of the United States is researching the same antibody, but has more research funding and can afford to obtain blood samples from 121 people. The East Coast researcher decides to construct a two-sided 99% confidence interval. Which researcher will have the more precise estimate? State your reason for choosing your answer. It may help to imagine that the sample standard deviation will be about the same for both samples.
Specify the null and alternative hypotheses you would use to determine if the opinions of Internet users are evenly divided among the four categories.
Find a eulerization of the graph that will allow the garbage truck to make a reasonably efficient Eulerian circuit through the neighborhood.
Find out the earliest completion time for play and critical path.
A food snack manufacturer samples 13 bags of pretzels off the assembly line and weighs their contents. If the sample mean is 14.7 oz. and the sample standard deviation is 0.50 oz., find the 95% confidence interval of the true mean.
A review of voter registration records in a small town yielded the following table of the number of males and females registered as Democrat, Republican, or some other affiliation.
Assume that a random variable, x, is distributed according to a normal distribution with mean 46 and standard deviation 12. (a) What is the standard error of the estimate, x-bar, if a sample of size 25 is taken?
Determine if this sample data provides sufficient evidence to indicate that the bulbs have their advertised life expectancy. Do NOT do a confidence interval.
find the probability density function for the t-distribution with 1 degree of freedom. hint in math 380 you calculated
The length of a human pregnancy has a mean of 267 days and a standard deviatin of 16 days. Assume a normal distribution. What percent of pregnancies last over 283 days.
A researcher believes that if she uses a different text the students will score differently on the standardized test but she doesn't know what the difference is. The test had a mean of 110 and a σ of 12.
Given this information, what would sampling error be if sample including seven values in top row were used to calculate sample mean?
If these two assumptions are correct, then what is the probability that the sample mean waiting time,T, based on your random sample of size n=36, will exceed 104 hours?
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