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Suppose that replacement times for washing machines are normally distributed with a mean of 9.5 years and a standard deviation of 1.8 years. Find the replacement time that separates the top 18% from the bottom 82%.
Is this an ideal data collection method? Can the results be considered reliable? Can the gathered data be representative of the population?
According to the hypothesis that the current year's seed does not meet the 85% germination rate standard at the 5% level of significance. What is the corresponding test statistic value?
If the top 15% of the test scores are usually good enough for admission to law school, find the cut off score for gaining admission.
What is the value of the standard error of the mean? What is the value of the confidence coefficient for a confidence interval with the indicated confidence level?
Studies have shown that humans complete a 1 mile run in an average of 12.2 minutes. There is a separate group of 30 who complete a 1 mile run with an average of 8.67 minutes with a standard deviation of 0.33 minutes.
Without using formulas, explain the meaning of (a) expected value of a random variable; (b) actuarial fairness; and (c) variance of a random variable.
(a) Consider a normal distribution with mean μ = 88. If 2% of the values lie below x = 50, find the standard deviation σ. (b) Consider a normal distribution with standard deviation σ = 15.6. If 10% of the values lie above x = 17.2, find the mean μ.
Can we conclude that the mean age of the population from which the sample may be presumed to have been drawn is less than 60 years? Let α = .05
At the 5% level of significance, does this result support the conjecture?
In a Sgallop poll of 1012 randomly selected adults, 9% said cloning of humans should be allowed. Use a .05 significance level to the test claim that less than 10% of all adults said that cloning should be allowed.
A standard deviation of 350 hours. the manufacturer is considering a warranty. what proportions of the screens have a life between 1500 and 2500 hours?
Develop and solve a linear optimization model to determine the optimal mix to maximize profit, and write a short memo to the president, Kathy Chung, explaining the sensitivity information in language that she can understand.
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