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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 population 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 .95 probability, what statement can be made about the size of the margin of error?d. Construct a 95% confidence interval for the true average amount of time customers spent in the restaurant.e. With a .95 probability, how large of a sample would have to be taken to provide a margin of error of 2.5 minutes or less?
Suppose the regression equation that has been used to estimate the value of existing homes is as follows; Interpret the meaning of the slopes of this equation.
Determine and report the within-group slope which relates Y to Xc (for this, you will have to look at your regression printout).
Never forget that even small effects can be statistically significant if the samples are large. Of 148 small businesses, 106 were headed by men and 42 were headed by women.
A random sample of 100 voters found that 44% were goint to vote for a certain candidate. Find the 99% limit for the population proportion of voters who will vote for that candidate.
A state-wide sample survey is to be made. First, the state is subdivided into counties. Seven counties are selected at random and further sampling is concentrated on these seven counties.
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.
Which of the following is true about a 95% confidence interval of the mean of a given sample:
In the past few years out sourcing over seas has become more frequently used than before by U.S. companies. However, out souring is not with out problems. A recent survey indicates that 20% of the companies that outsource over seas use consultant.
A manufacturer wishes to estimate the proportion of washing machines leaving the factory that is defective. How large a sample should she check in order to be 93 percent confident that the true proportion is estimated to within 0.014?
The daily revenue totals for the next 30 days will be monitored. What is the probability that the mean daily revenue for the next 30 days will be between $7000 and $7500?
Where should the warranty limits be set so that only 10 percent of the HDTVs need repairs at the manufacturer's expense?
The following data were obtained from an independent measures research study comparing three treatment conditions. Use an ANOVA with alpha=.05 to determine whether there are any significant mean differences among the treatments.
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