An automatic filling machine in a factory fills bottles of ketchup with a mean of 17.8 oz and a standard deviation of0.05 oz with a distribution that can be well modeled by a Normal model. What is the probability that a bottle ofketchup contains less than 17.7 oz?The probability that a ketchup bottle contains less than 17.7 oz is(Round to three decimal places as needed.)

Given,Mean, μ=17.8 ozStandard deviation, σ=0.05 oz.Let X be a random variable represents the how…

Answered: An automatic filling machine in a…

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 car company says that the mean gas mileage for its luxury sedan is at least 25 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 24 mpg and a standard deviation of 2 mpg. At a = 0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. Click here to view page 1 of the normal table. Click here to view page 2 of the normal table. Which sampling distribution should be used and why? A. Use a normal sampling distribution because the population is normal, and o is known. B. Use a normal sampling distribution because n> 30. C. Use a t-sampling distribution because the population is normal, and o is known. D. Use a normal sampling distribution because the population is normal, and o is unknown. E. Use a t-sampling distribution because the population is normal, and o is unknown. F. Use a t-sampling distribution because n 25 O C. Ho: µ# 25 Ha: u= 25 D.…
A car company says that the mean gas mileage for its luxury sedan is at least 25 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 6 cars has a mean gas mileage of 24 mpg and a standard deviation of 2 mpg. At a = 0.05, test the company's claim. Assume the population is normally distributed. Click here to view the t-distribution table. Click here to view page 1 of the normal table. Click here to view page 2 of the normal table. Which sampling distribution should be used and why? A. Use a normal sampling distribution because the population is normal, and o is known. B. Use a normal sampling distribution because n> 30. C. Use a t-sampling distribution because the population is normal, and o is known. D. Use a normal sampling distribution because the population is normal, and o is unknown. E. Use a t-sampling distribution because the population is normal, and o is unknown. O F. Use a t-sampling distribution because n 25 Ho: H#25 Ha: µ= 25 D. H : μ…
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 268 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball. a. What is the distribution of X? X - N( b. Find the probability that a randomly hit fly ball travels less than 219 feet. Round to 4 decimal places. c. Find the 75th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feet
The results of a national survey showed that on average, adults sleep 6.9 hours per night.Suppose that the standard deviation is 1.2 hours and that the number of hours of sleep followsa bell-shaped distribution.a. Use the empirical rule to calculate the percentage of individuals who sleep between4.5 and 9.3 hours per day.b. What is the z-value for an adult who sleeps 8 hours per night?c. What is the z-value for an adult who sleeps 6 hours per night?
The acidity of liquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so "acid rain" is sometimes defined as rainfall with a pH below 5.0.The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.75 and standard deviations 0.50. What us probability of acid rain
A medical company pack medication in bags marked as 250 gA large number of packs of medication were weighed and the mean and standard deviation were calculated as 255 g and 2.5 g respectively.Assuming this data is normally distributed, what percentage of packs are underweight? Develop a Standard Normal Distribution curve.
The daily sales at a convenience store produce a distribution that is approximately normal with a mean of 1290 and a standard deviation of 101. The probability that the sales on a given day at this store are more than $1.405. rounded to three decimal places, is:
The results of a statistics examination follow an approximate normal distribution with a mean of 68 and a variance of 64. Grade A is awarded to students who score more than 82.What is the probability that a student gets a Grade A? a. 0.0401 b. 0.9599 c. 0.5871 d. 0.4129
Calculate the value of a normal random variable representing the bottom 20% of an approximately normal distribution with a mean of 74 and a standard deviation of 7. (Use a table or technology. Round your answer to one decimal place.)

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