The fill amount in 1-liter soft drink bottles is normally distributed, with a mean of 1.0 liter and a standard deviation of 0.05 liter. If bottles contain less than 90% of thelisted net content (0.96 liters, in this case), the manufacturer may be subject to penalty by the state office of consumer affairs. Bottles that have a net content above1.07 liters may cause excess spillage upon opening. Complete parts (a) through (e) below.a. What proportion of bottles contain between 0.96 and 1.0 lters?0.2881 (Round to four decimal places as needed.)b. What proportion of bottles contain between 0.96 and 1.07 liters?0.7074 (Round to four decimal places as needed.)c. What proportion of bottles contain below 0.96 liters or above 1.07 iters?0.2927 (Round to four decimal places as needed.)d. At least how much soft drink is contained in 96% of the bottles?liter(s)(Round to two decimal places as needed.)ncor

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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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Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
Assume that a normal distribution of data has a mean of 24 and a standard deviation of 5.Use the empirical rule to find the percentage of values that lie below 9.
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
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 60 days in each region. The mean wind speed in Region A is 13.8 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 3.1 miles per hour. At a = 0.05, can the company support the researcher's claim? Complete parts (a) through (d) below. C. The wind speed in Region A is not less than the wind speed in Region B. D. The wind speed in Region A is less than the wind speed in Region B. Let Region A be sample 1 and let Region B be sample 2. Identify Ho and Ha. Ho: H1 2 H2 Ha: 1 В. z C. z< - 1.645 (c) Find the standardized test statistic z. (Round to two decimal places as needed.)
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway per hour and 85 miles per hour. (Assume the data set has a bell-shaped distribution.) 70 miles per hour, with a standard deviation of 5 miles per hour. Estimate the percent of vehicles whese speeds are between 55 miles Approximately% of vehicles travel between 55 miles per hour and 85 miles per hour.
The shelf life of a batteries produced by one major company are normally distributed with a mean of 4.3 years and a standard deviation of 0.6 years. The figure below shows the distribution of shelf lives of batteries produced by one major company. Calculate the shaded area under the curve. Answer:
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Assume that human body temperatures are normally distributed with a mean of 98.19°F and a standard deviation of 0.64"F. a, A hospital uses 100.6°F as the lowest temperature considered to be a fever. What percentage of normal and healthy persons would be considered to have a fever? Does this percentage suggest that a cutoff of 100.6°F is appropriate? b. Physicians want to select a minimum temperature for requiring further medical tests. What should that temperature be, if we want only 5.0% of healthy people to exceed it? (Such a result is a false positive, meaning that the test result is positive, but the subject is not really sick.) Click to view page 1 of the table. Click to view page 2 of the table, The pereenteeei e ens considered te bavetver i

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