Suppose that the lifetimes of a certain kind of light bulb are normally distributed with a standard deviation of 110 hours. If exactly 95% of the bulbs die before925 hours, find the mean lifetime of the bulbs. Carry your intermediate computations to at least four decimal places. Round your answer to at least one decimalplace.hoursCheckesc23$@51yre

Answered: Suppose that the lifetimes of a certain…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The 5 participants in a weight-loss class lost the following weights (in pounds) after three weeks of dieting. 6 , 4 , 6 , 3 , 6 Send data to calculator Send data to Excel Assuming that these weights constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places. (If necessary, consult a list of formulas.)
Components that are critical for the operation of electrical systems are replaced immediately upon failure. Suppose that the life time of a certain such component can be modeled by a lognormal distribution with mean u = 500 hours and standard deviation o = 100 hours. Find the median life time of the components. (Use four digits after the decimal point, e.g. 0.1234) Hint: You need to start by finding the values of 0 and w?. Type your answer..
Terri Vogel, an amateur motorcycle racer, averages 129.52 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.28 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. b. Find the proportion of her laps that are completed between 128.81 and 131.26 seconds c. The fastest 3% of laps are under ____ seconds. d. The middle 80% of her laps are from __________ seconds to __________ seconds.
The number of cans of soft drinks sold in a machine each week is recorded below. Develop forecasts for the period indicated and error calculations. 155, 145, 155, 162, 180, 165, 172, 149, 170, 172 Exponential smoothing. Use an alpha level of .8 What is the forecast for week 10? What is the Mean Absolute Error (MAE)?
Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why Toxaphene causes tremors. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for four mice were 1.7, 1.8, 1.9, and 2.0. Part A: Find the mean refractory period and the standard error of the mean. Part B: Calculate a 90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 1.3 milliseconds. Toxaphene poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning.
Terri Vogel, an amateur motorcycle racer, averages 129.14 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.28 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.b. Find the proportion of her laps that are completed between 131.08 and 134.03 seconds. ___________________c. The fastest 2% of laps are under seconds.____________________d. The middle 70% of her laps are from ____ seconds to ____ seconds.
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between 1.50 and 2.25 Click to view page 1 of the table. Click to view page 2 of the table. Draw a sketch. Choose the correct graph below. O A. OB. Oc. z=1.50 z=2.25 z=1.50 z=2.25 z=1.50 z=2.25 The probability of getting a reading between 1.50°C and 2.25°C isO. (Round to four decimal places as needed.)
Terri Vogel, an amateur motorcycle racer, averages 129.41 seconds per 2.5-mile lap (in a 7 lap race) with a standard deviation of 2.25 seconds. The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: logbook of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible. Find the proportion of her laps that are completed between 129.57 and 130.63 seconds. (______)The fastest 3% of laps are under(______) seconds. The middle 40% of her laps are from(_____) seconds to(_______) seconds.
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7 years, and standard deviation of 0.9 years. The 3% of items with the shortest lifespan will last less than how many years? Give your answer to one decimal place. years
Calcium levels in people are normally distributed with a mean of 9.4 and a standard deviation of 0.4 . Individuals with calcium levels in the bottom 10% dL of the population are considered to have low calcium levels. Find the calcium level that is the borderline between low calcium levels and those not considered low. Carry your intermediate computations to at least four decimal places. Round your answer to one decimal place.
Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to $24 minutes. The 16th percentile is a phone call that lasts minutes.
The Transylvania hypothesis claims that the full moon has an effect on health-related behavior. A study investigating this effect found a significant relationship between the phase of the moon and the (x-4) + 100 where y is the number of consultations as a percentage of the daily mean and x is the days since the last full 15.12 number of general practice consultations nationwide, given by y = 1.9 cos moon. a. What is the period of this function? What is the significance of this period? The period is days. (Round to two decimal places as needed.) Choose the correct meaning of the period p in the context of the problem. The x-distance between the maximum and the minimum of the graph is p. Every p days there is a full moon. There were p% more consultations when there was a full moon. The average number of daily consultations is p. b. If there was a full moon on April 7, on what day in April does this formula predict the maximum number of consultations? What percent increase would be…

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