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You are the manager of a restaurant for a fast-food franchise. Last month, the mean waiting time at the drive-through window for branches in your geographical region, as measured from the time a customer places an order until the time the customer receives the order, was 3.7 minutes. You select a random sample of 64 orders. The sample mean waiting time is 3.57 minutes, with a sample standard deviation of 0.8 minute
a. At the 0.05 level of significance, is there evidence that the population mean waiting time is different from 3.7 minutes?
b. Because the sample size is 64, do you need to be concerned about the shape of the population distribution when conducting the t test in (a)? Explain.
Draw the pmf of the Poisson distribution that results when the parameter α is equal to the following:
Determine the probability that number of requests in 10 hour work day is between 68 and 80 inclusive? Give your answer to four decimal places.
Determine a 95% confidence interval for the mean efficiency of a given batch of motors. If we want to cut the confidence interval by 1/3, how many motors should be tested?
A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to a normal distribution with a mean of 298 ml and a standard deviation of 3 m..
You listen to radio station for 1 hour, at arbitrarily selected time, and carefully observe that amount of advertising time is equal to 7 minutes. Compute z-score for this amount of advertising time.
During the past six months, 73.2% of US households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10. 80% of the households spent more than what amount?
Use the data set for math education and conduct an ANOVA to see if there are any statistically significant differences with respect to problem solving total for students who have different categories of the concept of learning by themes (colcateg)..
use the random variable x with values x 2 3 4 5 or 6 with px 0.05xa determine p x 4 b find p x gt or eq 4 c what is
The media often attempts to predict the outcome of national elections. Why are they often wrong? Based on the concepts presented in this module's readings, how could the system be improved?
SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points and are approximately normally distributed. A person who scores (a perfect) 800 on the SAT I has approximately what percentile rank..
What is the appropriate degrees of freedom in this case? Give your answer to four decimal places. What is the lower confidence limit on the interval?
Estimate a regression model with trend & season dummies to forecast the next year sales:
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