A soft-drink machine at a steak house is regulated so that the amount of drink dispensed is approximately normally distributed with a mean of 190 milliliters and a standard deviation of 15milliliters. The machine is checked periodically by taking a sample of 9 drinks and computing the average content. If x falls in the interval 181

In this problem, we are given that the mean (μ) is 190 milliliters and the standard deviation (σ) is…

Answered: A soft-drink machine at a steak house…

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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A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 57.3 milligrams. Assume the population is normally distributed and the population standard deviation is 7.6 milligrams. Atα=0.07, can you reject the company's claim? Complete parts (a) through (e).
A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 919 milligrams. A random sample of 36 breakfast sandwiches has a mean sodium content of 905 milligrams. Assume the population standard deviation is 25 milligrams. At α=0.01, do you have enough evidence to reject the restaurant's claim?
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 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=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. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim?
Assume that the helium porosity (in percentage) of coal samples taken from any particular seam is normally distributed with true standard deviation A. Compute a 98% CI for true average porosity of another seam based on n specimens with a sample average porosity of B. n=21 B=5.1 A=0.8 What is the upper bound? Two decimal places
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C.A single thermometer is randomly selected and tested. Let ZZ represent the reading of this thermometer at freezing. What reading separates the highest 8.92% from the rest? That is, if P(z>c)=0.0892P(z>c)=0.0892, find c.
In a population of Siberian flying squirrels in western Finland, assume that the the number of pups born to each female over her lifetime has mean μ=3.66μ=3.66 and standard deviation σ=2.9598.σ=2.9598. The distribution of squirrel pups born is non‑normal because it takes only whole, non‑negative values. Determine the mean number of pups, ¯¯¯x,x¯, such that in 90%90% of all random samples of such squirrels of size n=60,n=60, the mean number of pups born to females in the sample is less than ¯¯¯x.
A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 38.9 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams. At α=0.09, can you reject the company's claim? Complete parts (a) through (e). (a) Identify H0 and Ha. Choose the correct answer below. A. H0: μ=40 Ha: μ≠40 B. H0: μ=38.9 Ha: μ≠38.9 C. H0: μ≠40 Ha: μ=40 D. H0: μ≤40 Ha: μ>40 E. H0: μ≤38.9 Ha: μ>38.9 F. H0: μ≠38.9 Ha: μ=

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