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Q1. 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. It is found that on average each person who regularly visits the bar spends about $2000 per year in the bar with a standard deviation of $200. Construct a 99 percent confidence interval around the mean annual expenditure in the bar.
Q2. The production manager for the XYZ manufacturing company is concerned that the customer orders are being shipped late. He asked one of his planners to check the timeliness of shipments for 1000 orders. The planner randomly selected 1000 orders and found that 100 orders were shipped late. Construct the 99% confidence interval for the proportion of orders shipped late.
Q3. The weight of a product is measured in pounds. A sample of 49 units is taken from a batch. The sample yielded the following results: = 80 lbs. and s = 10.5 lbs. Calculate a 90 percent confidence interval for the mean.
If the confidence interval limits do not include age below 20 does it mean that motor cyclists under the age of 20 rarely die in crashes?
The weights (in pounds) of a sample of five boxes being sent by UPS are: 12, 6, 7, 3, and 10.
Use an appropriate test to determine if the reason for component failures is independent of their designs. Show your manual calculations here.
What are some differences between discrete and continuous data? Is the measurement of money continuous or discrete? Explain. Can discrete data be analyzed using a normal distribution? Why or why not?
15 watch between 10 and 15 hrs per week and 10 watch less than 10 hrs per week. Determine whether there is a relationship between education levels and hours spent watching TV.
The standard deviation of the sample was 6 people. Develop a 95 percent confidence interval for the population mean.
Can we conclude from this that most workers there earn between $25 and $35 per hour? Is this the right interpretation for the margin of error?
A survey found that 85% of women in a given city enjoy shopping online. Suppose you randomly selected 6 women from the city and ask them whether or not they enjoy shopping online. Find the probability that exactly 4 say they enjoy shopping online.
What are the two ways of testing a correlation coefficient for significance?
Find the probability that when 236 reservations are accepted for Flight 107, there are more passengers showing up than there are seats available.
A sample of the math test scores of 35 fourth-graders has a mean of 82 with a standard deviation of 15.
1. The counselor calculates the unbiased estimate of the population's variance to be 15. What is the variance of the distribution of means?
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