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A coin-operated soft-drink machine is designed to discharge at least 7 ounces of beverage per cup with a standard deviation of 0.2 ounces. If you select a random sample of 16 cups and are willing to have an α = 0.05 risk of committing a Type I error, compute the probability of a Type II error (β) if the population mean amount dispensed is actually:
a) 6.9 ounces per cup
b) 6.8 ounces per cup.
A certain type of injury has tangible costs of $40,000 per occurrence and intangible costs of $150,000 per occurrence. Perform a cost/benefit analysis to weigh the benefits of the proposed safety glasses policy against its expected costs.
A small town has a population of 20,000 people. Among these 1,000 regularly visit a popular local bar. A sample of 100 people who visit the bar is surveyed for their annual expenditures in the bar.
WHich sampling method from the choices listed above would be best? Describe how you would carry out your chosen sampling method of a student from part (a)
Assume that the standard deviation of college student IQ's is 10. A random sample of 100 students from a college showed an average IQ of 110. Compute a 95% confidence interval for the mean IQ of students attending this college.
Students in a statistics class at a large state university were given the survey in which one question asked was age (in years); one student was a retired person, and her age was an "outlier".
A farmer in Iowa owns 45 acres of land. He is going to plant each acre with wheat or corn. Each acre planted with wheat yields $200 profit, requires 3 workers, and requires 2 tons of fertilizer; each with corn yields $300 profit, requires 2 worker..
CASE STUDY: Are the Fish Safe to Eat? Assessing which Factors affect Mercury Levels in Fish in Maine Lakes.
Make up a scatter diagram with 10 dots for each of the following situations:
Elucidate the null and alternative hypothesis for the difference among the two means. In testing the difference between the means of two.
Sketch a scatter plot that could represent data from each of following. Label the axes to indicate the independent and dependent variable.
Report descriptive statistics, assumptions tests, effect sizes (partial eta) as well as tests of statistical significance.
At α = 0.10, can the researcher conclude that alcohol consumption is related to sex? What kind of Chi-Square test is this?
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