The probability that a restaurant passes its health department inspection is 0.94. The owners of 58 restaurants are surveyed to see if their restaurants passed inspection. Find the standard deviation. A) 1.8245 B) 2.1040 C) 1.8086 D) 1.8655 E) 2.3589
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The
health department inspection is 0.94. The
owners of 58 restaurants are surveyed to see
if their restaurants passed inspection. Find the standard deviation.
A) 1.8245
B) 2.1040
C) 1.8086
D) 1.8655
E) 2.3589
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- The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 48 ounces and a standard deviation of 8 ounces. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 40 and 72 ounces? c) What percentage of the widget weights lie below 64 ? %Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 248 feet and a standard deviation of 49 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 198 feet? PP(fewer than 198 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 222 feet? PP(more than 222 feet) =6) A professor timed all students in his Statistics class for how long it took them to complete the final exam. The results are given below, in minutes. 92 65 70 84 170 110 115 100 135 105 120 165 145 150 75 100 155 95 88 125 96 145 115 170 160 150 90 a) Find the population mean and standard deviation. Use appropriate symbols b) Sketch a boxplot by hand for time to finish the exam. Write the "5 number summary" on the boxplot. c) Calculate the IQR, the interquartile range. Use the IQR to determine which, if any, data values can be classified as outliers. Show your reasoning. d) Find the value of P90, and explain its meaning in the context of the question. Show your work. e) Calculate the Z-score for a student who took 90 minutes. Show our work.
- Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 253 feet and a standard deviation of 45 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 216 feet? PP(fewer than 216 feet) = ______% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 246 feet? PP(more than 246 feet) = ________%Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 256 feet and a standard deviation of 53 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 192 feet? P(fewer than 192 feet) = % b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 204 feet? P(more than 204 feet) = %
- Suppose that 100,000 recent grads have starting salarieswhich are normally distributed with a mean of $120,000 anda standard deviation of about $20,000. How many recentgrads earn: d) Above $95,000?e) Between $126,400 and $163,600?About 13% of the population has blue eyes. 1700 people are randomly selected. a. Find the mean number of people with the blue eyes in such groups of 1700. b Find the standard deviation for the number of people with blue eyes in such groups of 1700. If possible, round to 1 decimal place.At a tennis tournament a statistician keeps track of every serve. The statistician reported the the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribuation of the serve speeds was bell shaped. What percentage of the players serves are expected to be between 75mph and 130mph? a) there are TWO "k" values in this problem. _____ (blank) and ____ (blank). Remember that "k" is the number of standard deviations from the mean. b) the percentage of the players served betweeen 75 and 130 is ___ (blank)
- The average annual rainfall in New York City follows a normal distribution with a mean of 49.9 inches and a standard deviation of 9.5 inches. On what percentage of years can we expect there to be between 40.4 and 59.4 inches of rain in New York City? (A) 100% B) 99.7% C) 95% D) 68%Consider a population of 800 values that are normally distributed with a mean of 80 and standard deviation of 5. What proportion of values are larger than 74? a) 0.0750 b) 0.1151 c) 0.8849 d) 0.9250Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 245 feet and a standard deviation of 54 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? PP(fewer than 204 feet) = b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? PP(more than 234 feet) =
