**Problem Statement:**A soft drink machine at a local fast food restaurant can be calibrated so that it dispenses an average of \( \mu \) ounces per cup. If the ounces of soda dispensed are normally distributed with a standard deviation of 0.5 ounces, find a value of \( \mu \) such that 36-ounce cups will overflow only 10% of the time. Round the solution to one decimal place, if necessary.**Solution:**The goal is to determine the average \( \mu \) such that the probability of dispensing more than 36 ounces is only 10%. Using the properties of the normal distribution, we'll find the z-score that corresponds to the top 10% of the distribution and use it to solve for \( \mu \).\[ \mu = \, \_\_\_ \, \text{ounces} \]

Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Answered: A soft drink machine at a local fast…

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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Solve a and c
A student releases a ball on a ramp, letting it roll down the ramp. Using a meter stick, she measureshow far it rolls in half of a second. She then repeats this process, increasing the time she allows the ball to rollwith each trial. The data is given below:Time (s) Distance (cm)0.0 00.5 51.0 251.5 552.0 1002.5 1553.0 2253.5 3054.0 4004.5 5055.0 6251. What is the independent variable for the experiment?2. What is the dependent variable for the experiment?
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Find the explained variation, unexplained variation, total variation, coefficient of determination, and standard error of estimate. Round to a minimum of 4 decimal places, if necessary.Eight different second-year medical students took blood pressure measurements of the same patient and the results are listed below. Systolic 131 130 120 139 145 129 146 121 Diastolic 88 96 81 99 98 86 98 79 Explained variation ? Unexplained variation ? Total variation ?
The population of Ada County, Idaho has been steadily increasing for more than 20 years. The table below shows the population (people) from 2015 through 2019 in Ada County. year 2015 2016 2017 2018 2019 population 432,862 444,486 456,548 468,764 481,587 a. What is the average rate of change in the population of Ada County from 2015 to 2018? Round to the nearest whole person and include units. b. What is the average rate of change in the population of Ada County from 2016 to 2018? Round to the nearest whole person and include units. c. What is the average rate of change in the population of Ada County from 2017 to 2018? Round to the nearest whole person and include units. d. What is the average rate of change in the population of Ada County from 2018 to 2019? Round to the nearest whole person and include units. e. Give a good approximation for the rate at which the population of Ada County is growing by the end of 2018? Round to the nearest whole person and include units.
Ta Q The lengths (in kilometers) of a random sample of 22 rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table below. Lengths of Rivers (in km) 66 93 138 95 64 322 90 161 167 72 56 80 169 64 121 209 98 97 145 140 288 97
Determine whether the given value is from a discrete or continuous data set. An impact SUV has a gas tank that can hold 15.21 gal.
The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curv Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct. A 19.1% B 30.9% C 38.2% D 69.1% E 68.27% A The percentage of people with blood pressure between 130 and 150 mm. B The percentage of people with blood pressure between 140 and 150 mm. D The percentage of people with blood pressure over 150 mm.
The time it takes an employee to package the components of a certain product is normally distributed with ? = 7.5 and ? = 1.5 minutes. As an incentive, management has decided to give a bonus to the 25% of employees who took the shortest amount of time to package the components. Find the amount of time taken to package the components that will indicate that an employee should get a bonus. (Round your answer to two decimal places.) An employee must package components in a time minutes.
A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist (HONC). Of teenagers who had tried tobacco, the mean HONC score was 3.8 (s = 4.4) for the 141 females and 2.4 (s = 3.5) for the 178 males. Complete parts a through c below. a. Find the standard error comparing the sample means. Interpret. The standard error is se= 0.4540. (Round to four decimal places as needed.) What does the standard error indicate? ... OA. The standard error is the standard deviation of the sample for this study. OCT 28 OB. The standard error is the difference in standard deviations for the two populations. OC. The standard error is the standard deviation of the difference between x₁-x₂. D. The standard error describes the spread of the sampling distribution of x₁-x₂. b. Find the test statistic and P-value for Ho: H₁ H₂ and Ha: H₁ H₂. Interpret, and explain what (if…
Calculate (x-bar) for the data shown, to two decimal places 19.7 10.4 11.8 26.1 27.3 29
Still need D , E and F

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