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To estimate the proportion of car owners who purchase more than $1,000,000 of liability coverage for their vehicles, a random sample of 400 car owners is taken, of which 56 have this coverage. Does this support the claim that the proportion is less than 15%? Test the claim at the 5% level by the following steps.
What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated?
A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on average, 10 pounds the first two weeks with a standard deviation of 2.8 pounds.
Discuss where this common statistical analysis technique might be useful in your business. Is it being used already? If not, how will you help introduce others to it?
Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5)(2x-1)(?).
Be sure the appropriate assumptions and conditions are satisfied before you proceed.
The amount of income spent on housing is an important component of the cost of living. The total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity).
You and 100 of your 200 respondents concerned about nutrition. Is this reason to believe that the percent in your area is higher than the national 40%?
By using 0.05 level of significance, is there any evidence of difference in mean life of bulbs produced by two kinds of machines?Calculate p-value and interpret its meaning.
Given the following data from two independent samples, conduct a one-tailed hypothesis test to determine if the first sample mean is larger than the second sample mean, given a 0.05 level of significance.
The time needed to complete a final examination in a particular college course is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.
At α = .05, is there a difference in variances? Illustrate all steps clearly, including the illustration of the decision rule.
Suppose 10 balls, numbered 1-10, are to be distributed randomly into 10 boxes. a) What is the probability all 10 balls are placed into one box? b) What is the probability that no boxes are empty?
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