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Consider the trash bag problem. Suppose that an independent laboratory has tested trash bags and has found that no 30-gallon bags that are currently on the market have a mean breaking strength of 50 pounds or more. On the basis of these results, the producer of the new, improved trash bag feels sure that its 30-gallon bag will be the strongest such bag on the market if the new trash bag's breaking strength can be shown to be at least 50 pounds. The mean and the standard deviation of the sample of 40 trash bag breaking strengths are X (sample mean) = 50.575 and s = 1.6438. If we let m denote the mean of the breaking strengths of all possible trash bags of the new type,
a. Calculate 95 percent and 99 percent confidence intervals for m.b. Using the 95 percent confidence interval, can we be 95 confident that m is at least 50 pounds? Explain.c. Using the 99 percent confidence interval, can we be 99 confident that m is at least 50 pounds? Explain.d. Based on your answers to parts b and c, how confident are you that the new 30-gallon trash bag is the strongest on the market.
Complete the exercise from the data given and answer all of the questions in a written summary. Cut and paste any EXCEL data that you wish to discuss.
A research study will measure the cost of the new method over a sample production period. Develop the null and alternative hypothesis most appropriate for this study.
He finds their mean weight to be 17.78 ounces with a standard deviation of 0.4 ounces. Are the cereal boxes lighter than they should be? Let α = 0.01.
In a bumper test, three types of autos were deliberately crashed into a barrier at 5mph, and resulting damage was estimated. five test vehicles of each type were crashed.
Compute the mean, median, and mode. Which of these measures of central tendency do you think most accurately describes the lifestyle variable you are looking at?
Make your calculation supposing a two-sided two-sample t-test with a type I error (alpha) of 0.056
Explain five steps used in hypothesis testing. Be specific, using numerical examples as well as symbols and verbal explanations.
A jeweler at Tiffany & Company computes the value of the linear correlation coefficient for pairs of sample data consisting of Tiffany prices for gold wedding rings and the corresponding prices at a discount store.
Jessica must finish two courses (much like myself), statistics and economics, in order to complete the requirements for a BA degree. All along she has maintained an 80% average.
A normal distribution with a mean of 60,000 miles and a standard deviation of 5,200 miles. What percent of the tires will last at least 75,000 miles?
Develop the "best" regression model possible using this set of variables to help you predict the Risk. State your final model. Interpret the coefficients for the model (i.e. what do the numbers mean?).
The overall average for the samples is 17 ounces. The range is only 0.5 ounce. Determine the upper and lower control-chart limits for averages for the boxes of cereal.
The Spanish patients, two men and two women, were elderly and very ill. All four had undergone routine dialysis at the Hospital de la Princesa.
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