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For a lottery to be successful, the public must have con dence in its fairness. One of the lotteries in Maryland is Pick-3 Lottery, where 3 random digits are drawn each day. A fair game depends on every value (0 to 9) being equally likely at each of the three positions. If not, then someone detecting a pattern could take advantage of that and beat the lottery. To investigate the randomness, we'll look at data collected over a recent 32-week period. Althought the winning numbers look like three digit numbers, in fact, each digit is a randomly drawn 1 numeral. We have 654 random digits in all. Are each of the digits from 0 to 9 equally likely? Here is a table of the frequencies.
Group Count %0 62 9.4801 55 8.4102 66 10.0923 64 9.7864 75 11.4685 57 8.7166 71 10.8567 74 11.3158 69 10.5509 61 9.327
(a) Set up the relevant null and alternative hypothesis.(b) Write down the test statistic to be used for testing the hypothesis.(c) What is the sampling distribution of the test statistic if the null hypothesis is true?(d) If the level of signi cance = 5%, write down the rejection region.(e) Based on the data, do you reject the null hypothesis? Justify.(f) Did you commit a type I error based on your conclusion to 2e above?
Construct the probability distribution for the value of a 2-card hand dealt from a standard deck of 52 cards (all face cards have a value of 10 and an ace has a value of 11).
The mean television viewing time for Americans is 15 hours per week (Money, November 2003). Suppose a sample of 40 Americans is taken to further investigate viewing habits.
A sample of approx 25 students enrolled in the university points out that X (bar) = $315.4 and s = $43.20.
Think about a real world situation or problem that could be addressed using a single-sample t test. For this situation or problem, clearly identify the independent and dependent variables you would study
The scatter diagram for data set below is shown. a) given that x= 3.667, sx = 2.5819889, sy= 1.5937377 and r= -0.8894261, find out least -regression line.
Does the variability in output appear to differ at the two experience levels? Test the hypotheses at the .05 significance level.
Some authorities claim that globalization has led to greater income inequality in the U.S. and globally while others claim that inequality is due to improvements in technology and productivity. Using the Library and Internet sources, do the follow..
Determine the probability that: a) Exactly 3 will have this mild side effect.
Determine the probability that each of the 30 students will get computer in working condition?
Find the probability taht exactly 6 are satisifed with the airlines. Find the probability that fewer than 4 are satisfied with the airlines. Find the probability that 5 or more are satisfied with the airlines. Find the probability that between 3 a..
How many selections result in all 6 workers coming from the day shift? What is the probability that all 6 selected workers from the day shift?
The level of significance indicates the probability of rejecting a false null hypothesis.
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