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Ashworth College *

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260

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Statistics

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Jan 9, 2024

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docx

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[06] Module 6 Quiz - Results Attempt 1 of 2 Written Dec 18, 2023 9:15 AM - Dec 18, 2023 9:38 AM Your quiz has been submitted successfully. Attempt Score 100 / 100 - 100 % Overall Grade (Highest Attempt) 100 / 100 - 100 % Question 1 5 / 5 points Use technology to solve the following problem: A ferry will safely accommodate 79 tons of passenger cars. Assume that the mean weight of a passenger car is 1.9 tons with standard deviation 0.5 tons. If a random sample of 39 cars are loaded onto the ferry, what is the probability that the maximum safe weight will be exceeded? Question options: 0.9417 0.0516 0.0669 0.0583 Question 2 5 / 5 points
A normal distribution has mean μ = 60 and standard deviation σ = 20. Find and interpret the z-score for x = 90. Question options: z = 2.25: a value of 90 is 2.25 standard deviations above the mean. z = -1.50: a value of 90 is 1.50 standard deviations below the mean. z = 10: a value of 90 is 10 standard deviations below the mean. z = 1.50: a value of 90 is 1.50 standard deviations above the mean. Question 3 5 / 5 points Use technology to solve the following problem: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ = 40 and standard deviation σ = 6. What proportion of tires have lifetimes greater than 32 thousand miles? Question options: 0.9544 0.0456 0.0912 0.9088 Question 4 5 / 5 points A bottler of drinking water fills plastic bottles with a mean volume of 1,006 milliliters (mL) and standard deviation The fill volumes are normally distributed. What proportion of bottles have volumes greater than Question options: 1.0000 0.3085
0.9998 0.6331 Question 5 5 / 5 points The following stem-and-leaf plots each illustrate a sample. Which sample can be treated as approximately normal? Question options:
Question 6 5 / 5 points Use technology to solve the following problem: A normal population has a mean μ = 28 and standard deviation What proportion of the population is between 18 and 26? Question options: 0.0478 0.3217 0.3694 0.6783 Question 7 5 / 5 points At a cell phone assembly plant, 84% of the cell phone keypads pass inspection. A random sample of 106 keypads is analyzed. Find the mean μ .
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