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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:

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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 .

Question options: 0.96 0.84 0.036 0.16 Question 8 5 / 5 points Use technology to solve the following problem: A bottler of drinking water fills plastic bottles with a mean volume of 1,000 milliliters (mL) and standard deviation The fill volumes are normally distributed. What proportion of bottles have volumes greater than Question options: 1.0000 0.9568 0.3875 0.6575 Question 9 5 / 5 points At a cell phone assembly plant, 82% of the cell phone keypads pass inspection. A random sample of 101 keypads is analyzed. Find the probability that the proportion of the sample keypads that pass inspection is between 0.75 and 0.87. Question options: 0.9664 0.9049 0.0336

0.8713 Question 10 5 / 5 points Use the Central Limit Theorem to find the indicated probability. The sample size is n , the population proportion is p , and the sample proportion is . n = 195, p = 0.48; P ( < 0.5) Question options: 0.7580 0.7123 0.7673 0.7454 Question 11 5 / 5 points A survey reported that in a recent year, the mean serum cholesterol level in milligrams per deciliter for U.S. adults was 199 with a standard deviation of 44. A random sample of 104 adults was chosen. What is the probability that the mean cholesterol level is less than 198? Question options: 0.5080 0.4920 0.5910 0.4090 Question 12 5 / 5 points At a cell phone assembly plant, 79% of the cell phone keypads pass inspection. A random sample of 103 keypads is analyzed. Find the probability that more than 83% of the sample keypads pass inspection. Question options:

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0.1251 0.8749 0.1587 0.8413 Question 13 5 / 5 points A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation A pizza delivery company buys 54 of these cars. What is the probability that the average mileage of the fleet is between 33.3 and Question options: 0.6103 0.0985 0.3897 0.7088 Question 14 5 / 5 points Use technology to solve the following problem: The mean annual income for people in a certain city (in thousands of dollars) is 44, with a standard deviation of 35. A pollster draws a sample of 59 people to interview. What is the probability that the sample mean income is between 42 and 48 (thousands of dollars)? Question options: 0.1900 0.8100 0.5204

0.4796 Question 15 5 / 5 points A normal population has a mean μ = 33 and standard deviation What proportion of the population is less than 39? Question options: 1.0000 0.2743 0.7257 0.8106 Question 16 5 / 5 points A gardener buys a package of seeds. Seventy-six percent of seeds of this type germinate. The gardener plants 120 seeds. Approximate the probability that the number of seeds that germinate is between 84.2 and 94.2 exclusive. Question options: 0.0823 0.7019 0.3803 0.6197 Question 17 5 / 5 points The following histograms each illustrate a sample. Which sample can be treated as approximately normal? Question options:

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Question 18 5 / 5 points Using technology, use the normal approximation to find the indicated probability. The sample size is n , the population proportion of successes is p , and X is the number of successes in the sample. n = 79, p = 0.26: P ( X < 17) Question options: 0.1500 0.1670 0.1343 0.8500 Question 19 5 / 5 points A bottler of drinking water fills plastic bottles with a mean volume of 998 milliliters (mL) and standard deviation The fill volumes are normally distributed. What proportion of bottles have volumes between and Question options: 0.4549 0.0764 0.0823 0.1587 Question 20 5 / 5 points Use technology to solve the following problem: A sample of size 45 will be drawn from a population with mean 94 and standard deviation 14. Find the 32nd percentile of . Question options:

95.4 93.0 91.2 97.7 Done

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