The average number of milligrams) of sodium in a certain brand of low-salt microwave frozen dinners is 60mg, and the standard deviation is 35mg. If a sample of 10 dinners is selected, find the probability that the mean will be larger than 670 assuming that the variable is normally distributed.

The average number of milligrams) of sodium in a certain brand of low-salt microwave frozen dinners is 60mg, and the standard deviation is 35mg. If a sample of 10 dinners is selected, find the probability that the mean will be larger than 670 assuming that the variable is normally distributed.

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

Related questions

Q: A lightbulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the…

A: It is given that, the mean and standard deviation are 1,000 and 150, respectively.

Q: A random sample of 14 nurses in a large hospital showed that they worked on average 44.8 hours per…

A: The random variable time follows normal distribution. The sample size is 14. The sample mean is…

Q: Assume that the scores of a college entry exam are normally distributed with a mean of 400 and a…

A: Given,mean(μ)=400standard deviation(σ)=60

Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

A: Sample size n =30 Sample mean=43.2 Population standard deviation =7.1 NOTE:- According to bartleby…

Q: The average life of a brand of automobile tires is 30,000 miles, with a standard deviation of 2,000…

A: Here, mean is 30000 and standard deviation is 2000. We will use z-standard normal distribution.

Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

A: The hypothesized mean is 45.

Q: At one college, GPA's are normally distributed with a mean of 2.6 and a standard deviation of 0,4.…

A: At one college, GPA's are normally distributed with a mean of 2.6 and a standard deviation of 0.4

Q: The population of weights of a particular fruit is normally distributed, with a mean of 265 grams…

A: Let X denote the population of weights of a particular fruit is normally distributed, with a mean of…

Q: the population of weights of a particular fruit is normally distributed, with a mean of 766 grams…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: The lifetime of a 2‑volt non‑rechargeable battery in constant use has a Normal distribution, with a…

A: It is known that X is the lifetime of a 2‑volt non‑rechargeable battery with mean 516 hours and a…

Q: The average number of meat that a person consumes per year is 218.4. Asume that the standard…

A: Mean=218.4 Standard deviations=26 Sample size=40

Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

A: To test the significant of one population mean when sample size is sufficient large with known…

Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

A: Given information- Population mean, μ = 45 milligrams Sample size, n = 30 Sample mean, x-bar = 46.4…

Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

A: Given : Sample size (n) = 30Sample mean (X) = 57.4Population standard deviation (σ) = 7.3α = 0.04

Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

A: Introduction: Denote μ as the true population mean caffeine content in 12-ounce bottles of cola. The…

Q: A random sample of 14 registered nurses in a large hospital showed that they worked on average 43.9…

A: The sample mean is 43.9 and the standard deviation is 2.2.

Q: In a factory, packs of sweets are supposed to contain 1kg each. In reality, the weights are normally…

A: Let X be the weight following normal distribution .

Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

Q: The lifetime of a 2‑volt non‑rechargeable battery in constant use has a Normal distribution, with a…

A: It is known that X is the lifetime of a 2‑volt non‑rechargeable battery with mean 516 hours and a…

Q: In a large section of a statistics class, the points for the final exam are normally distributed,…

A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…

Q: The lifetime of a particular component is normally distributed with a mean of 1000 hours and a…

A: Given DataMean = 1000Standard deviation = 100probability that a randomly drawn component will last…

Q: Assume that females have pulse rates that are normally distributed with a mean of u=74.0 beats per…

A: Mean = 74.0 Standard deviation = 12.5 Sample size =

Q: The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which…

A: Obtain the probability that an elite athlete has a maximum oxygen uptake of at least 93.07 ml/kg.…

Q: The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which…

A: Let X is the mean maximum oxygen uptake which is normally distributed. Given: mean=μ=65.5standard…

Q: A lightbulb is advertised as lasting 1000 hours with a standard deviation of 150 hours. Assume the…

A: It is given that the mean and standard deviation are 1,000 and 150, respectively.

Question

Transcribed Image Text:The average number of milligrams) of sodium in a certain brand of low-salt microwave frozen dinners is 60mg, and the standard deviation is 35mg. If a sample of 10 dinners is selected, find the probability that the mean will be larger than 670 assuming that the variable is normally distributed.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Describe the given information

VIEW

Step 2: Calculate the probability that the sample mean is larger than 670

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 14 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The length of time it takes to find a parking space is normally distributed with a mean of eight minutes and a standard deviation of two minutes. Find the probability that it takes at most five minutes to find a parking space?
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. Find the probability of obtaining a reading between 0°C and 2.679°C.
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 69 with a standard deviation of 7.5. Assume that the distribution is approximately normal.Find the probability that an elite athlete has a maximum oxygen uptake of at least 88.5 ml/kg. Find the probability that an elite athlete has a maximum oxygen uptake of at most 48.75 ml/kg. Find the probability that an elite athlete has a maximum oxygen uptake of 48.75 ml/kg.
Suppose the masses of a batch of 2000 potatoes have a mean of 60 grams with a standard deviation of 8 grams. Assuming the weights have a normal distribution, predict the number of potatoes that would have masses between 45 and 55 grams. Sketch the distribution curve, shade the required probability, and show horizontal scales the population parameters and the z-scores. Solve the problem
Assume that a randomly selected subject is given a bone density test. These test scores are normally distributed with a mean of 0 and a standard deviation of 1. Find the probability that a given score is less than -0.71.
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. Find the probability of obtaining a reading greater than -0.71°C.
The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 60 with a standard deviation of 9 . Assume that the distribution is approximately normal. What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? What is the probability that an elite athlete has a maximum oxygen uptake of 70 ml/kg or lower?