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1. Your average weekly grocery bill at the store you usually shop is $300. You decided to test a new strategy of buying most items over the weekend from Costco in bulk and when you fall short of some items during the week or the once not appropriate for Costco, you buy from a convenience store near you. You took a sample of your expenses for 20 weeks and found that the average is $285 and the standard deviation for the sample is $25. Set up your null and alternative hypothesis for testing whether your cists are different and do the analysis using α=.05.
2. You started a new restaurant. Based on invoices for the first 30 days, you estimated your average grocery bill to be $20,000 with a standard deviation of $2000. You want to start another restaurant in a similar neighborhood and you are planning to prepare a brochure for investors and to work out a deal with a whole sale food distributor. Prepare a 95% confidence interval for the average grocery bill. Would a 99% confidence interval be narrower or wider than the 95% confidence interval?
3. You move to a new town and want to decide on when to start for work. You do not want to reach too early and not be too late too many times. You, thus, collected data for 10 days and obtained an average of 34.5 minutes. You took the standard deviation of 4.5 minutes from a commuting friend and believe that that is the standard deviation for the area. Prepare a 95% confidence interval for the true average commuting time.
What is the x-intercept of this tangent line? Use this fact to draw the tangent line and find the volume of the solid generated by rotating the top half
An irrigation scheme is fed from a river via a diversion channel. The irrigation channel is 2 m wide and is constructed of concrete with an estimated value of 0.019 for the Manning n. The bed slope is 0.0025.
Determine the average amount of time that a guest spends checking in. How would this change under each of the state options? Which option do you recommend?
Age at onset of dementia was determined for a sample of adults between the ages of 60 and 75. For 15 subjects, M = 67.2 and s = 3.06. Use this information to answer the following:
Find the solution of the exact differential equation and separable differential equations
The following table contains the number of consumer complaints received in a Publix market in Hollywood, Florida.
problem 1 let fr-gtr be a function fxx if xgt0 x-1 if xlt0evaluate whether f isa u-u continuous.b c-c
Explain what each of the following mathematical statements mean in regard to the graph of f(x).With your explanation, include a DIAGRAM for each part.
How can methods of improving system reliability be studied using simulation - when and how can simulation be applied to problems such as determining system life cycle cost and spares policies?
Identify values for p,n and x and explain how this fits binomial distribution model.
Find a 95% confidence interval for the process mean lifetime and give an interpretation of this interval.
Researchers routinely choose an alpha level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower alpha level (e.g., 0.01)? What are some situations in which you might accept a higher level (e.g., 0.1)?
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