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Suppose the weights of college textbooks are normally distributed with a population mean of 4 pounds and a population standard deviation of 1.2 pounds. Suppose randomly sample and weigh 16 textbooks. Answer the following questions:
a) What is the probability that the sample average of the 16 textbooks is less than 3.5 pounds? (use 2 decimal places in your answer))
b) Imagine the distribution of all possible samples averages of textbook weights (with ). What is the weight that separates the lightest 25% of sample averages from the heaviest 75% of sample averages? (round your answer to the nearest tenth of a pound)
according to a newspaper report in 2 million lie detector tests 300000 were estimated to have produced erroneous
A reasearcher is running a chi-sq test. She would like to test her hypothesis at the alpha=.05 and finds that her research situation has 5 degrees of freedom. What is value for the chi-sq critical?
Calculate the test statistic and the df - Write a conclusion, addressing the research question. Your conclusion should include an interpretation of the 95% confidence bound which is given in the above output
A new company is manufacturing light bulbs. The CEO claims that the average light bulb lasts 260 days. A researcher selects 25 bulbs for testing. The sample bulbs last an average of 250 days with a standard deviation of 20 days.
historical data suggests that a scientific journal accepts 10 of the manuscripts it receives rejects 50 of the
What is a variable? List at least five diff erent variables and then describe at least two levels of each variable. For example, age is a variable.
Locate a 95% confidence interval for the true mean failure time of used colored display panels on the printout.- Give a practical interpretation of the interval, part a.
An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8% F's. At the end of the semester, she has the following grades.
if x is a binomial random variable where n100 and p.1 find the probability that x is less than or equal to 12 using the
Find the third quartile Q3 of the list of 24 sorted values shown below. Which is relatively better: a score of 81 on a psychology test or a score of 50 on a economics test? Scores on the psychology test have a mean of 88 and a standard deviation of..
Initially P is a distance b ( > a) from the centre O of the sphere when it is projected directly away from O. What must the projection speed be for P to escape to infinity?
Is there a more efficient way to design the experiment to answer the same question? In other words, is there a better way to make use of this data?
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