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Testing for equality of mean.
1. A computer is programmed to make 100 draws at random with replacement from the box (0,0,0,0,1), and take their sum. It does this 144 times; the average of the 144 sums is 21.13. The program is working fine. Or is it?Working fine Something is wrongChoose one option, and explain your reason.
2. (Hypothetical.) Is Wheaties a power breakfast? A study is done in an elementary statistics class; 499 students are free to participate. After the midterm, 250 are randomized to the treatment group, and 249 to the control group. The treatment group is fed Wheaties for breakfast 7 days a week. The control group gets Sugar Pops.
a) Final scores averaged 66 for the treatment group; the SD was 21. For the control group, the figures were 59 and 20. What do you conclude?
b) What aspects of the study could have been done "blind"
The population standard deviation is 100 hours. A random sample of 64 bulbs indicates the mean is 350 hours. At the .05 is there evidence that the mean life is different than 375 hours?
Order pizza with this new crust again. Calculate a 98% confidence interval for the proportion of customers who would order the new thin crust pizza again.
In order to determine whether or not a driver's education course improves the scores on a driving exam, a sample of six students were given the exam before and after taking the course. The results are shown below:
Selecting a Staff Person: At a community swimming pool there are 2 managers, 8 lifeguards, 3 concession stand clerks, and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a mana..
Explain the main differences among integers, rational numbers, real numbers, and irrational numbers. How are these used in everyday life? How would you explain the use of each to someone who did not know about the differences?
What facts and/or statistics would you need to know to expose this misleading claim? The larger the sample, the more reliable the results." Do you agree or disagree with this statement? Explain.
Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.
Assume a linear relationship, use the least square method to find the regression coefficients bo and b1 and Predict the mean kilowatt usage when the average temperature is 50 degrees Fahrenheit.
Calculate the probability that theta hat falls within 0.2 of the theta given the parameter'e true value is 3.0. Calculate the probability of the event asked in Part(a) assuming the sample size is 3 instead of 6.
Find the margin of error for the 95% confidence interval used to estimate the population proportion.
What is the largest possible value of the covariance? Remember that r can be positive or negative and what is the covariance between X and Y
Search the library for a scholarly journal article of a study that presents the results using correlation analysis. Summarize the article, explain how the correlation was used, and the value of correlation analysis.
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