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6.Cough-a-Lot children's cough syrup is supposed to contain 6 ounces of medicine per bottle. However since the filling machine is not always precise, there can be variation from bottle to bottle. The amounts in the bottles are normally distributed with σ = 0.3 ounces. A quality assurance inspector measures 10 bottles and finds the following (in ounces): 5.95 6.10 5.98 6.01 6.25 5.85 5.91 6.05 5.88 5.91 Are the results enough evidence to conclude that the bottles are not filled adequately at the labeled amount of 6 ounces per bottle? a.State the hypothesis you will test. b.Calculate the test statistic. c.Find the P-value. d.What is the conclusion? 7.Calculate a Z score when X = 20, μ = 17, and σ = 3.4. 8.Using a standard normal probabilities table, interpret the results for the Z score in Problem 7. 9.Your babysitter claims that she is underpaid given the current market. Her hourly wage is $12 per hour. You do some research and discover that the average wage in your area is $14 per hour with a standard deviation of 1.9. Calculate the Z score and use the table to find the standard normal probability. Based on your findings, should you give her a raise? Explain your reasoning as to why or why not. 10.Tutor O-rama claims that their services will raise student SAT math scores at least 50 points. The average score on the math portion of the SAT is μ = 350 and σ = 35. The 100 students who completed the tutoring program had an average score of 385 points. Is the average score of 385 points significant at the 5% level? Is it significant at the 1% level? Explain why or why not.
The height of a door is 15 inches more than three times its width. What are the dimensions of the door if the perimeter is 246 inches?
Hypothesis testing for single mean.
Find the area of the region bounded by the parabola y = 5x2, the tangent line to this parabola at (1, 5), and the x-axis.
1 in a poll 37 of the people polled answered yes to the question are you in favor of the death penalty for a person
one car travels 40 km/hr faster than another, while one travels 150km, the ither goes 350km, what is the speed of the slower car?
A 3-ft by 5-ft table is placed on an outdoor patio measuring x ft by ( x+1 ) ft. Find a polynomial for the remaining open space the patio (in square feet)
There are two companies, the IL Company and the MO Company. They are trying to build a 3000 ft. tunnel connecting St. Louis, IL and St. Louis, MO.
If the distance from top to bottom is 2 meters and the window may be no more than 1.5 meters wide, find the dimensions of the rectangular portion of the window that lets through the most light.
Describe fractional partsso that a child can understand it. What are the two distinct requirements of fractional parts? Explain how children's concepts of partitioning need to be refined to produce a concept of fractional parts.
a city park is shaped like a right triangle with length of one leg twice the length of the other leg. The area is 2500 m2. What are the lengths of the legs?
A random sample of 11 patients using the drug is selected. Find the probability that exactly two will have this mild side effect
Consider the parabola y=(x^2)/100. FInd another point on the parabola with a tangent line that goes through (100, 50).
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