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A random sample of 49 lunch customers was taken at a restaurant. The average amount of time the customers in the sample stayed in the restaurant was 33 minutes. From past experience, it is known that the standard deviation equals 10 minutes.
a. Compute the standard error of the mean.b. What can be said about the sampling distribution for the average amount of time customers spent in the restaurant? Be sure to explain your answer.c. With a .99 probability, what statement can be made about the size of the margin of error?d. Construct a 99% confidence interval for the true average amount of time customers spent in the restaurant.e. With a .99 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?
Why do we have so many several measures of central tendency? Are all really essential or do they essentially give same information?
A survey was completed to estimate the proportion of residents in support of constructing a new football stadium, at tax payer expense, to accommodate an NFL team in the LA area.
Interpret the correlation between each set of variables.
Suppose we have run a regression on 48 months of data and the regression equation is Y = 50000 + 1000*x (where x is the month number).
Random samples of size 64 are taken from a large population whose mean is 160 and whose standard deviation is 25. What is the mean of the sampling distribution of the sample mean?
A PC manufacturer claims that no more than 2% of their machines are defective. In a random sample of 100 machines, it is found that 5% are defective. The manufacturer claims this is a fluke of the sample.
For each set of data, calculate mean, median, mode, range, interquartile range, standard deviation, and coefficient of variation.
A sample of 12 homes sold last week in St Paul, Minnesota, is selected. The results are shown below and create a scatterplot. Insert the trendline into the graph and show the regression equation.
What sample size would be needed to obtain an error of ±10 square millimeters with 99 percent confidence?
Suppose that a random sample of 800 early replacement buyers yields a mean number of dealers visited of 1 = 3.3, and that a random sample of 500 late replacement buyers yields a mean number of dealers visited of 2= 4.5.
Assume a one-tailed t -test is being applied to determine if population mean is less than $212. Level of significance chosen is 0.01 and 26 accounts are sampled. Determine the critical value?
Determine whether the Zero Population Growth data for urban U.S. resident is also true for rural U.S. residents on the basis of the sample data with α=0.05.
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