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1. The speed of automobiles on a section of I-95 is normally distributed with a population mean of 65 miles per hour and a population standard deviation of 8 miles per hour. A random sample of 30 cars is to be selected for a speed study. A) What are the shape, mean, and standard deviation of the sampling distribution of the sample mean for samples of size 30? B) What is the probability that the sample mean will be 69 miles per hour or more? C) What is the probability that the sample mean will be between 62 and 68 miles per hour? By how much would your answer change if the sample size had been 60? D) What is the probability that the sample mean will be less than 63 miles per hour? 2. Assume that the population proportion of adults having a college degree is 0.35. A random sample of 500 adults is to be selected to test this claim. A) What are the shape, mean, and standard deviation of the sampling distribution of the sample proportion for samples of 500? B) What is the probability that the sample proportion will fall within 0.03 of the population proportion?
Find the probability that a randomly selected student spends between eighty and ninety percent of the time on the test. Find the expected value of X. E(X)
To assess opinion of students at Ohio State University about campus safety, reporter for student newspaper interviews 15 students she meets walking on campus.
Formulate the null hypothesis and the alternative hypothesis.
How do I construct an example where I would be able to apply the concept of expected value to a problem (e.g. a financial investment problem would be a great way to demonstrate how various stocks in a portfolio produce a weighted average of the ov..
Conduct a hypothesis test to determine whether the whisper number justifies a conclusion of a statistically significant increase in the consensus estimate of economists. Use a = .01 as the level of significance.
Describe each of the following methods of statistical inference in detail (Please try to use layman's terms).
Can the binomial distribution be used to model the number of rare events that occur over a given time period?
Discuss what happens to the width of the confidence interval as the confidence level is increased. Does this seem reasonable? Explain.
A local health care company wants to estimate the mean weekly elder day care cost. A sample of 10 facilities shows a mean of $250 per week with a standard deviation of $25. What is the 90 percent confidence interval for the population mean?
The chamber of commerce of a Florida Gulf Coast community advertises that area residential property is available at a mean cost of $125,000 or less per lot.
The number of customers who have requested a reservation at full fare for this flight in the past always has a normal distribution with mean 40 and standard deviation 10. Determine how many seats should be reserved for customers who pay full fare.
Create a linear model to estimate the number of points students will score on the next exam from the number of hours the student studies.
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