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The Roller Products Company produces roller skates and skateboards. It has three production lines. Production line 1 makes skateboard platforms. Production line 2 makes skate assemblies. Production line 3 mounts wheels on both products. The marketing department has determined virtually unlimited demand for both products. Profit per pair of roller skates is $10 and $6 per skateboard. Production line 1 can produce 6 skateboard platforms per day, and production line 2 can produce 5 pairs of shoes per day. Production line 3 can mount 20 wheel sets per day. Each skateboard requires 2 wheel sets, and each pair of roller skates requires 4 wheel sets.
a) How many skateboards and roller skates should be scheduled per day to maximize total profits?
b) Solve this problem using the simplex method.
Use a 1% level of significance to test the claim that there are more calls during the night than in the day.
Determine the relationships among data above? Analyze with charts/graphs/tables and a discussion.
At the .01 significance level, can the manufacturer conclude that the price reduction resulted in an increase in sales?
Carry out a test of hypothesis on each of regression coefficients. Could you delete any of the variables?
a random sample of 100 doctors was selected. Suppose you reject the null hypothesis. What conclusion can you draw?
The scores of college-bound senior men on the math part of the SAT followed a normal distribution with mean 527 and standard deviation 116.
Explain distribution of sample means (shape , Expected value , and standard error ) for samples of n=36 selected from population with a mean of m =100 and standard deviation of s=12.
Test the claim that the Snickers bars have a mean weight that is different than 20.1 grams. Because shutting down the plant is very expensive, test the claim at the .01 level of significance.
Determine relative frequency of X=4? Generate the cumulative frequencies.
Scores on an endurance test for cardiac patients are normally distributed with mean = 182 and standard deviation = 24.
Assume then money spent is uniformly distributed between these amounts. Determine the mean amount spent on insurance?
In what sense is this business problem? A societal problem? An individual problem?
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