To avoid difficulties with the Federal Trade Commission or state and local consumer protection agencies, a beverage bottler must make reasonably certain that 12 - ounce bottles actually contain 12 ounces of beverage. To determine whether a bottling ma chine is working satisfactorily, one bottler randomly samples 9 bottles per hour and measures the amount of beverage in each bottle. If records show that the amount of fill per bottle is normally distributed, with a standard deviation of .3 ounce, and if the bottling machine is set to produce a mean fill per bottle of 12.2 ounces, what is the approximate probability that the sample mean x of the 9 test bottles is less than 12 ounces

To avoid difficulties with the Federal Trade Commission or state and local consumer protection agencies, a beverage bottler must make reasonably certain that 12 - ounce bottles actually contain 12 ounces of beverage. To determine whether a bottling ma chine is working satisfactorily, one bottler randomly samples 9 bottles per hour and measures the amount of beverage in each bottle. If records show that the amount of fill per bottle is normally distributed, with a standard deviation of .3 ounce, and if the bottling machine is set to produce a mean fill per bottle of 12.2 ounces, what is the approximate probability that the sample mean x of the 9 test bottles is less than 12 ounces

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Yoko, who turns eighty years old this year, has just learned about blood pressure problems in the elderly and is interested in how her blood pressure compares to those of her peers. She has uncovered an article in a scientific journal that reports that the mean systolic blood pressure measurement for women over seventy-five is 133.9 mmHg, with a standard deviation of 5.9 mmHg. Assume that the article reported correct information. Complete the following statements about the distribution of systolic blood pressure measurements for women over seventy-five. (a) According to Chebyshev's theorem, at least (Choose one) ▼ of the measurements lie between 122.1 mmHg and 145.7 mmHg. (b) According to Chebyshev's theorem, at least (Choose one) measurements lie between 116.2 mmHg and 151.6 mmHg. ▼ of the X
An energy company wants to choose between two regions in a state to install energy-producing wind turbines. A researcher claims that the wind speed in Region A is less than the wind speed in Region B. To test the regions, the average wind speed is calculated for 90 days in each region. The mean wind speed in Region A is 13.7 miles per hour. Assume the population standard deviation is 2.8 miles per hour. The mean wind speed in Region B is 15.1 miles per hour. Assume the population standard deviation is 3.2 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H, and Ha What is the claim? O A. The wind speed in Region A is less than the wind speed in Region B. O B. The wind speed in Region A is not less than the wind speed in Region B. O C. The wind speed in Region A is not greater than the wind speed in Region B. O D. The wind speed in Region A is the same as the wind speed in Region B. Let…
What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. z O B. z > OC z< (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Vthe wind speed in Region B. V the researcher's claim that the wind speed in Region A is H. There enough evidence at the 5% level of significance to
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 42 feet. Assume the population standard deviation is 4.7 feet. The mean braking distance for Make B is 45 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) rari rz (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is/are (Round to three decimal places as needed. Use a comma to separate answers as needed.)
Because of different sales ability, experience, and devotion, the incomes of real estate agents vary considerably. Suppose that in a large city the annual income is normally distributed with a standard deviation of $15,000. A real estate industry expert claims that the mean annual income of all real estate agent in the city is equal to $79000. A sample of 30 real estate showed that their mean annual income was $84230. Test the manager's claim using a level of significance of 0.05. what is your conclusion
The heights of adult men in America are normally distributed, with a mean of 69.6 inches and a standard deviation of 2.66 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.2 inches and a standard deviation of 2.56 inches. A. If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? B. If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? C. Who is relatively taller?
A variable is normally distributed with mean 34 and standard deviation 11. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 63.7. b) Find the area under the normal curve to the left of the data value 2.1. c) Find the area under the normal curve to the right of the data value 30.7. d) Find the area under the normal curve to the right of the date value 29.05. e) Find the area under the normal curve between the data values 2.1 and 29.05.
A real estate company, We Rent Houses, regularly conducts survey for average rents in Tampa Bay Area. According to its latest survey, the sample mean rent in 2019 was $950 for Pasco County and $1160 in Hillsborough County. Assume the survey sampled rents for 160 rental units in each County. Also, assume the standard deviation in rents based on the survey was $175 in Pasco County and $230 in Hillsborough County. Compute the valued mannually. a. Calculate a 95% confidence interval for the population mean rent for Hillsborough County. Provide an interpretation of the confidence interval. b. Calculate a 95% confidence interval for the population mean for Pasco County. Interpret. c. Is it possible that the population mean rent in Pasco County is higher than that in Hillsborough County? Explain.
At a tennis tournament a statistician keeps track of every serve. The statistician finds that the mean serve speed of a particular player was 110 miles per hour (mph) and the standard deviation of the serve speeds was 5 mph. Assume that the distribution of the serve speeds was bell shaped. Using the Empirical Rule, find the following. a) percent of serves expected to be above 120mph. b) proportion of serves expected to be between 105mph and 125mph. c) proportion of serves expected to be below 105mph. d) percent of serves expected to be within 3 standard deviations of the mean.
Companies who design furniture for elementary school classrooms produce a variety of sizes for children of different ages. Suppose the heights of kindergarten children are normally distributed with a mean of 97 cm and a standard deviation of 4.9 cm. What proportion of kindergarten children should the company expect to be less than 91 cm tall?
It is generally believed that the heights of adult females in the U.S. are approximately normally distributed with mean 65 inches and standard deviation 4 inches. A small university is considering custom ordering beds for their dorm rooms. Answer the following questions about the lengths of beds in dorm rooms at this university. A. The beds that the university currently purchases are 70 inches long. What proportion of females will be able to fit on the bed while lying perfectly straight (less than 70”)? Draw/Label/Shade a curve with this information and provide the value of the requested proportion. B. What is the height of a female who is in the top 10% for her height? Draw/Label/Shade
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.09 degrees°F and a standard deviation of 0.51 degrees°F. Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.56 degrees°F and 99.62 degrees°F? b. What is the approximate percentage of healthy adults with body temperatures between 97.07 degrees°F and 99.11 degrees°F? a. Approximately ________% of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.56 degrees°F and 99.62 degrees°F. (Type an integer or a decimal. Do not round.)