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An automatic puck shooting machine is a device that fires hockey pucks at specified speeds. The machine's manufacturer, Puck Chuck, constructed the device so that there was little variance in the velocities of the projectiles. For example, if a machine was to be set at a mean output of 85 miles per hour (mph), its standard deviation would remain 4 mph. Assuming that actual speeds of the device are normally distributed, please answer the following questions about a machine set to shoot pucks at 85 mph:
a) What is the probability of a puck being shot at speeds in between 77 and 88 mph?b) If Puck Chuck wanted to reset the machine so that only 17 in 1000 pucks would have velocities of less than 75 mph, what would the mean output of the machine be set to?
Consider the many possible distributions of grades on a quiz in a statistics class; imagine that the grades could range from 0 to 100.
To help schedule staffing and equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' y, the number of beds occupied at the end of each day.
Consider how you might apply radical expressions to your daily life. Explain this application, and discuss what the equation might be.
Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides.
At.05 significance level is it reasonable to conclude that it takes longer to determination software issues? Determine the p-value?
A compute manufacturer is about to unveil a new,faster PC.The new PC is faster but intial tests incidcate there is more variation in the processing time.
Its mean is 139 and its standard deviation is 12. Approximately how many terms can you expect to find between the values of 115 and 163?
Suppose that Total Revenue = 200Q and Total Cost = 80 + 50Q where Q, the quantity sold, is a random variable with expected value 20 and variance 4.
How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to within 5% with 98% confidence?
The Republican party is interested in studying the number of Republicans that might vote in a particular Congressional district. Assume that the number of voters is binomially distributed by party affiliation (either Republican or not Republican).
Test the hypothesis that the annual income of teachers in areas of more than 500,000 is significantly more than those in areas of less than 100,000. Use the 5% level of risk.
An article reports that when each football helmet in a random sample of 44 suspension-type helmets was subjected to a certain impact test, 25 showed damage.
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