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1. Give a variable that could be used to stratify the population for each of the following studies. List at least four subcategories for each variable.
a. A political party wants to conduct a poll prior to an election for the office of U.S. senator in Minnesota
b. A soft drink company wants to take a sample of soft drink purchases in an effort to estimate market share.
2. The average cost of a one bedroom apartment in a town is $550 per month. What is the probability of randomly selecting a sample of 50 one-bedroom apartments in this town and getting a sample mean of less than $530 if the population standard deviation is $100? Please show all work.
In addition, the cruise line has decided to plan for an additional 25% more meals than bookings. Formulate the appropriate linear program (Constraints and Objective Function only)
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.
A random sample of 90 printers discovered that 25 of them were being used in small businesses. Find the 95% limit for the population proportion of printers that are used in small buisnesses.
Find out z values for 29 and 34 hours. What percent of garages take between 32 hours and 34 hours to erect?
The average score on the stat midterm was 75 points with a standard deviation of 5 points, and Gregor's z-score was -2. How many points did he score.
Describe the types of decisions that do not involve uncertainty and risk and common approaches used for analyzying them.
At the Statsville County Fair, the probability of winning a prize in the ring-toss game is 0.1. Show the probability distribution for the number of prizes won in 8 games.
Out of 1000 people surveyed, 600 belonged to urban areas and rest to rural areas. Among 500 who visited other states , 400 belonged to urban areas. Test 5 % level of significance whether area and visiting other state are dependent.
Construct the following confidence intervals for your data set:
A random variable is normally distributed, with (population mean)= 300 pounds and (standard deviation) = 50 pounds. How small can a simple random sample be if the standard error of the mean can be no more than 20 pounds?
What is the difference between resampling (bootstrapping) and double sampling in research? Is there any difference or is the same? Please explain your response?
A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50.
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