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In a popular computer game the computer picks an integer from 1 to n at random. The player is given k chances to guess the number. After each guess the computer responds "correct," "too small," or "too big."
(a) Show that if n ≤ 2k - 1, then there is a strategy that guarantees you will correctly guess the number in k tries.
(b) Show that if n ≥ 2k - 1, there is a strategy that assures you of identifying one of 2k - 1 numbers and hence gives a probability of (2k - 1)/n of winning. Why is this an optimal strategy? Illustrate your result in terms of the case n = 9 and k = 3.
In the sample of 400 households, 112 were watching the series. At the 5% significance level, would the series be judged successful on basis of this sample information?
State one referenced hypothesis including the three variables (FA as an IV, age as the covariate and RS as the DV)
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A researcher claims that the average age of people who buy theatre tickets is 51. A sample of 30 is selected and their ages are recorded as shown below.
What statistical test should be used to analyze these data? Identify H0 and Ha for this study. Conduct the appropriate analysis.
Find the range, standard deviation, and variance for the scores.
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If you want to be 95% confidence of estmating the population mean to within a sampling error of +-4 and the standard deviation is assumed to be 10, what sample size is required?
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