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In the experiment about hormone injections in cows described in Exercise 17, a group of 52 Jersey cows increased average milk production from 43 pounds to 52 pounds per day, with a standard deviation of 4.8 pounds. Is this evidence that the hormone may be more effective in one breed than the other? Test an appropriate hypothesis and state your conclusion. Be sure to discuss any assumptions you make.
Many dairy cows now receive injections of BST, a hormone intended to spur greater milk production. After the first injection, a test herd of 60 Ayrshire cows increased their mean daily production from 47 pounds to 61 pounds of milk. The standard deviation of the increases was 5.2 pounds. We want to estimate the mean increase a farmer could expect in his own cows.
a) Check the assumptions and conditions for inference.
b) Write a 95% confidence interval.
c) Explain what your interval means in this context.
d) Given the cost of BST, a farmer believes he cannot afford to use it unless he is sure of attaining at least a 25% increase in milk production. Based on your confidence interval, what advice would you give him?
data on the number of occurrences per time period and observed frequencies follow.nbspnbspcompute the value of the test
Test the estimated slope coefficients for individual variables for significance. Remove all insignificant variables and re-estimate the model
Could you conclude that Queens College Professors live longer than average? Use the appropriate two-tailed test with an α = 0.05. Also, construct a 95% confidence interval. Do the statistical test and the confidence interval agree? Write up your resu..
Both parties agree that if the average score in this year's survey is greater than one hundred and eight they will increase the police force. Is this decision rule adequate? What is the Type 1 error of this rule?
The dependent variable was the women's rating of the discussion. Analyze the ratings using the techniques in this chapter (high scores favorable ratings). Write an interpretation.
Standardized scores offers a way of comparing norm-referenced scores. The z-score distribution is based on knowing how many standard deviations away from the mean a certain score is.
A newspaper conducted a statewide survey concerning a proposal to raise taxes to prevent budget cuts to education. The newspaper took a random sample (assume it is an SRS) of 1200 registered voters and found that 580 would vote to raise taxes. Let..
For a sample of n 4 weeks in which the daily temperature was extremely hot, the weekly average of hit-by-pitch players was M 15.5. Are players more likely to get hit by pitches during hot weeks?
Determine whether the magnitude of the correlation is low, moderate or high. What prevents the pattern from being very close to perfect?
Consider the following two binomial experiments. In a binomial experiment consisting of six trials, how many outcomes have exactly one success and what are these outcomes?
For n = 36, α = 0.025, σ = 8, and H0: µ ≤ 100, verify that power is 0.61 when µ = 103.- For n = 49, α = 0.05, σ = 10, and H0: µ = 50, verify that power is approximately 0.56 when µ = 47.
Create parallel boxplots to display these results as best you can with this information.- Write a few sentences comparing the performances of the three groups.
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