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Biology and Environmental Science
A large farm selling round fescue hay bales claims the mean weight per bale is 1600 pounds. To check this claim, personnel from the local agricultural extension service randomly selected 25 round bales and carefully weighed each. The sample mean was x‾ = 1595.6 pounds. Assume the underlying population is normal and σ = 23 pounds.
a. Is there any evidence to suggest that the true mean weight of these round hay bales is less than 1600 pounds? Use a = 0.01 and compute the p value to draw a conclusion.
b. Carefully sketch a graph to illustrate the p value in this hypothesis test.
Identify and interpret the p-value for the test. Source: Andy Gardiner, "NCAA on Guard for ‘Rolled' Bats," USA Today, June 17, 2009, p. 8C.
Why might a t test not be very useful in this case?
How about the standard deviation? Do you think we can make some more intelligent statements about the two instructors when we have the standard deviations?
If Y follows a Beta(a; b) distribution, then we know that E(Y ) = mu = a/(a + b) and Var(Y ) = sigma^2 = ab/((a + b)^2(a + b + 1)) This gives us mu and sigma^2 in terms of a and b. Derive equations for a and b in terms of mu and sigma^2
Estimate the median winning speed.- Estimate the quartiles.- Estimate the range and the IQR.- Create a boxplot of these speeds.
to study the birth weight of infants whose mothers smoke a physician records the weights of 100 newborns whose mothers
There are three project design options for the t-test project. To see components and examples for each type of project design, consult the t-test Project Examples Word document or the t-test Project Resources PowerPoint file.
Find the area of the indicated region under the standard normal curve.
Read Chapter 1: The Nature of Mixed Methods Research from John Creswell and Vicki Plano-Clark's book, Designing and Conducting Mixed Methods Research, which was published by Sage in 2011.
An investor estimates that there is a 1 in 10 chance that a stock purchase will lose 20% of its value, a 2 in 10 chance it will break even, a 4 in 10 chance it will gain 15% and 3 in 10 chance it will gain 30%. What is the expected return.
Mean of 950 and a standard deviation of 200. nancy bright's sat score was 1390. what percentage of students have scores more than nancy bright?
Heights of ten year old boys (5th graders) follow an approximate normal distribution with mean u=55.5 inches and standard deviation σ=2.7 inches:
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