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27. Peter, Paul, Mary, John and Martha are members of the pastoral council at a local church. They are to be seated at one side of a long conference table in a pastoral council meeting.a) How many possible ways can these 5 council members be seated?b) How many possible sitting arrangements are there if only gender is considered in the process?
28. How many social robots would need to be sampled in order to estimate the proportion of robots designed with legs, no wheels to within .075 of its true value with 99% confidence. Given that a random sample of 106 robots showed that 63 were designed with legs, no wheels.
29. Composite sampling is a way to reduce laboratory testing costs. A public health department is testing for possible fecal contamination in public swimming pools. In this case, water samples from 5 pools are combined for one test, and further testing is performed only if the combined sample shows fecal contamination. Based on past experience, there is a 3% chance of finding fecal contamination in a public swimming area. What is the probability that a combined sample from 5 swimming pools has fecal contamination? Recall that P(A) +P(not A) = 1.0.
Attachment:- 531666_1_STAT-230-Spring-2014-Final-Exam.pdf
Then, define probability value in your own words and explain how a probability value of .05 in this example is related to the normal curve.
Draw the pmf of the Poisson distribution that results when the parameter α is equal to the following:
Which of the following terms describes the overall long-term tendency of a time series?
Determine the point estimate? Give the symbol and value.
Fred received the following scores for his gymnastics routine: 8.5, 7.8, 8.0, 6.8, 7.1, 7.6. To figure out his score, the judges drop the highest and lowest score and then average the rest of his scores.
In a survey of 2480 golfers, 15% said they were left-handed. Construct to the 95% confidence interval for the population proportion p. Construct a 95% confidence interval for the population proportion p of left-handed golfers.
A firm keeps account for 28 customers. 12 of these are defined as new customers and 14 are locally based. If just 3 new customers live locally, how many established customers do not live locally?
Suppose you wish to test a one-tail hypothesis where you reject H0 only in the lower tail. You calculate ZSTAT = 1.38. What is the statistical decision if you test the null hypothesis at the 0.01 level of significance?
What is the probability that 19 from a sample of 22 shoppers will spend less than $20? What is the probability that at least 12 but not more than 17 from a sample of 22 shoppers will spend less than $20?
Nyobia had a population of 3 million in 1985. Assume that this country's population is growing continuously at a 5% annual rate and that Nyobia absorbs 40000 newcomers every year.
What is the probability that a single student, randomly chosen from those taking the ACT, scores 21 or higher? What is the probability that the mean score x of a SRS of 50 students is 21 or higher?
Would the null hypothesis that the 2007 median household income was $50,000 be rejected at the 10% significance level in favor of the two-sided alternative? (Choose the correct answer)
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