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Mutual funds are classified as large-cap funds, medium cap funds, or small-cap funds, depending ont eh capitalizaiton of the companies in the fund. Hawaii Pacific University Researchers S. Shi and M. Seiler investigated whether the averge performance of a mutual fund is related to capitalizaiton size. (American Business Review , Jan. 2002). Independent random samples of 30 mutual funds were selected from each of the three fund groups, and the 90-day rate of return was determined for each fund. The data for the 90 funds were subjected to an analyziz of variance, with the results shown in the ANOVA table below:
SOURCE df SS MS F p-value
Fund group 2 409.566 204.783 6.965 .002
Error 87 2,557.860 29.401 6.965
Total: 89 2,967.426
a) State the null and alternative hypothesis for the ANOVA.
b) Give the rejection region for the test using ? = .01.
c) Make the appropriate conclusion using either the test statistic or the p-value.
A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containing 80 oranges, of which 6 are rotten. What is the probability that the sample contains 1 or more rotten oranges? (Round your answer to three decimal..
Is there evidence that teams with higher total payrolls tend to be more successful? Justify your answer.
According to the Sleep Foundation, the average night's sleep is 6.8 hours. Assume the standard deviation is 0.6 hours and the probability distribution is normal. a. What is the probability that a randomly selected person sleeps more than 8 hours?
(a) Consider a normal distribution with mean μ = 88. If 2% of the values lie below x = 50, find the standard deviation σ. (b) Consider a normal distribution with standard deviation σ = 15.6. If 10% of the values lie above x = 17.2, find the mean μ.
Compute the difference scores for following data from repeated-measures study.
Translate this into a statistical hypothesis-testing problem and carry out the test. Be sure to give the null and alternative hypotheses, the value of the test statistic, the p-value, and your conclusions.
You draw two cards from a standard deck of 52 cards, but before you draw the second card, you put the first one back and reshuffle the deck.
Calculate separately for 1983 and 1987, the 95% confidence interval for the proportion of students who had driven an automobile while drinking.
What is the probability that the first card dealt is an ace of spade?
What is the number of personnel records that should be sampled, at minimum, to satisfy the requirements?
What is the probability that none can transact business in a foreign language?
The engineers hoped to base their decision on the reactions of 50 drivers, but time and budget constraints may force them to cut back to 20. How would this affect the power of the test? Explain.
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