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An economist states that 10% of Springfield's labor force is unemployed. A random sample of 400 people in the labor force is obtained, of whom 28 are unemployed.
What is the minimum sample size required in order to estimate the unemployment rate in Springfield to within 1% with 90% confidence?
A random sample of 25 households finds that an average of 2.3 people reside in each house (the standard deviation is 0.35). With a 95% confidence level, what is your estimation of the population average?
The Republican party is interested in studying the number of Republicans that might vote in a particular Congressional district. Assume that the number of voters is binomially distributed by party affiliation (either Republican or not Republican).
The average age of the women was 45.582 with a standard deviation of 5.143. He uses this information to calculate a 95% confidence interval for the differnce in means, (-11.41, -5.422). The best interpretation of this interval is which of the foll..
Explain your answer to someone who is familiar with the t test for a single sample, but not with the t test for independent means.
A particular candidate claims she has the support of at least 60% of the voters in her district. A random sample of 150 voters yields 87 who support her. The candidate wishes to test her claim at the 0.05 level of significance.
for a standard normal probability distribution find the percentage of data that area within 1 standard deviation of the
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
Explain your answer to someone who is familiar with the T test for a single sample, but not with the T test independent means.
The height of a tree will be measured using a clinometer. For this device, the measurement error has a normal distribution with mean meter and standard deviation . If the tree is exactly 35 meters tall, what is the probability that the clinometer ..
Suppose 91% of all Australian households having a fax machine have a personal computer. A Australian household is randomly selected. What is the probability that the household has a fax machine and a personal computer?
It is estimated that 2% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. The test for this drug is 95% accurate. What is the probability that an athlete who tests positive is actually a user?
Suppose a study is constructed to test a claim, at a 0.05 signifigance level that a population proportion is 40%. A simple random sample of 750 subjects has a proportion of 42%.
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