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A machine that fills cans with soda fills according to a Normal model with mean 12.1 ounces and standard deviation 0.05 ounces.
a. If the cans claim to have 12 ounces of soda each, what percent of cans are under-filled?b. Management wants to ensure that only 1% of cans are under-filled.i. Scenario 1: If the mean fill of the cans remains at 12.1 ounces, what standard deviation does the filling machine need to have to achieve this goal?ii. Scenario 2: If the standard deviation is to remain at 0.05 ounces, what mean does the filling machine need to have to achieve this goal.
During the 2003 season, MLB took steps to speed up the play of baseball games in order to maintain fan interest; the following results come from a sample of 60 games played during the summer of 2002. And a sample of 50 games played during the summ..
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Forecast quarterly demand where x = 0 in second quarter of last year. Quarterly seasonal factors are Q1=1.5, Q2=0.8, Q3=1.1, Q4=0.6. Determine the forecast for last quarter?
Observations was x ¯ = 119.8 (actually 119.7692), and the 14th observation, somewhat of an outlier, was 158. What is the value of x ¯ for the entire sample?
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At the level of significance, is there evidence that the population mean force is greater than 1500 pounds?
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?
Suppose that you wish to perform a nonparametric test for a difference among the medians of three or more independent populations. Which of these tests would be appropriate?
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