what is the probability in simple random sample of 50 ten gram portions of the food items result in a mean of at least 4.9 insects portions. (x-bar is 4, mean of standard deviation is 0.283.sigma is 10. original mean is 4.)

what is the probability in simple random sample of 50 ten gram portions of the food items result in a mean of at least 4.9 insects portions. (x-bar is 4, mean of standard deviation is 0.283.sigma is 10. original mean is 4.)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Results of a mathematics test are normally distributed with a mean of 60 and standard deviation of…

A: GivenMean(μ)=60standard deviation(σ)=14

Q: Blood pressure is distributed Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A: Given information: X~N(µ, σ)Mean (µ)=85Standard deviation (σ)=20Sample size (n)=100 Find:…

Q: The mean value of the scores in a Statistics exam was 85 with a standard deviation of 4. Find an…

Q: Suppose X~ N(4,2). What value of x is 1.5 standard deviations to the left of the mean?

A: X~N(μ=4, σ=2)We have to find value of X is 1.5 standard deviation to the left of the mean

Q: Blood pressure is distributed Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

A: Given Blood Pressure ~N85,20 Sample size, n=100

Q: SAT scores in one state is normally distributed with a mean of 1502 and a standard deviation of 176.…

A: Calculator Function:Steps in TI - 83 Calc to find area less than xStep 1: Click 2ndStep 2: Click…

Q: The chemical concentration of a particular chemical in a lake is to be measured. Assume it is known…

A: We have to find given probability.

Q: X is a normally distributed variable with a mean of 200 and a standard deviation of 30. What is the…

Q: Assume that body temperatures of healthy adults are normally distributed with a mean of 98.2 and a…

A: From the given information X follows normal distribution with mean µ = 98.2 standard deviation σ =…

Q: the mean number of B's on a test is 8 with a standard deviation of 1.5. find The probability of…

A: Consider a random variable X which follows normal distribution indicating the number of B’s on a…

Q: The temperature distribution of Melbourne has a population mean μ = 25.01, and standard deviation o…

Q: Suppose that blood chloride concentration (mmol/L) has a normal distribution with mean 106 and…

A: Given: Population mean μ=106 Population standard deviation σ=2

Q: Suppose x comes from a distribution where the mean is 151 and the standard deviation i 22. Suppose a…

Q: The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and…

A: Mean: μ=14 standard deviation: σ=5 number of selected people: n=17

Q: True or false: The standard deviation of the difference between the average height of 20 random men…

A: Generally the standard deviation for single group would be greater than the standard deviation of…

Q: If 200 Honda Accords are randomly selected, approximately how many of them will have the braking…

A: Given data,μ=45σ=0.5

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A: Given data,μ=33σ=12

Q: Among n=15 randomly selected participants of a hypothetical study, cholesterol was measured at Exam…

A: The objective of this question is to determine whether there is a statistically significant…

Q: Blood pressure is distributed Normally, with a mean of 85 mm and a standard deviation of 20 mm. As a…

Q: The distribution of SAT scores is normal with a mean of µ = 500 and a standard deviation of σ = 100.…

A: Obtain the SAT score separates the top 25% of the distribution from the rest. The SAT score…

Q: The time it takes for a statistics professor to mark a single exam is normally distributed with a…

Q: Suppose body temperature is normally distributed with mean of 98.30°F and a standard deviation of…

Q: Assume the machine shifts and the distribution of the amount of the compound added now has a mean of…

A: Let X be the new mean of the vile selected μ is the original population mean S is the standard…

Q: Assume that the number of days from conception to birth is normally distributed with a mean of 271…

A: Given that Mean = 271, SD = 4 X = 238

Q: The standard deviation for length of stay in a hotel is 7.2 days. For the variable “length of…

A: The standard deviation of the lengths of stays on international cruises is 7.2 days Total Sample =67…

Q: recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and…

Q: A firm is looking to employ a person as an engineer. Applicants of earlier years have standart…

A: Obtain the 90% confidence interval for the mean of all applicants exam results The 90% confidence…

Q: A population of values has an unknown distribution with μ = 206.2 and σ = random sample of size n =…

A: given data μ = 206.2σ = 76.7n = 77

Q: The GSS survey is conducted for approximately 2200 adults every year, since 1972 for a total of more…

A: The mean is 7.44 and the standard deviation is 10.98.

Q: An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average…

Question

Video Video

Expert Solution

Step 1

Given Information:

Sample size $n = 50$

Mean $μ = 4$

Standard deviation $σ = 10$

Mean of sampling distribution of mean is $μ_{\bar{x}} = 4$

Standard deviation of sampling distribution of mean is $σ_{\bar{x}} = 0.283$

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Find the probability that a normal variable takes on values more than 1 6 standard deviations away from its mean.
An SRS of 400400 high school seniors gained an average of ?⎯⎯⎯=40x¯=40 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=25. Suppose we had an SRS of just 100100 high school seniors. What would be the margin of error for 95%95% confidence? Give your answer to three decimal places.
A company produces steel rods. The lengths of the steel rods are distributed with a mean of 102.3-cm and a standard deviation of 2-cm. For shipment, 7 steel rods are bundled together. Round all answers to four decimal places if necessary. Note: When writing the distributions, they should be of the form (mean, variance) a. What is the distribution of X? X ~ ( b. What is the distribution of X? X~ N( c. For a single randomly selected steel rod, find the probability that the length is between 102.5-cm and 103.5-cm. d. For a bundled of 7 rods, find the probability that the average length is between 102.5-cm and 103.5- cm. e. For part d), is the assumption of normal necessary? Yes No
A recent study was conducted and it found that IQ's are normally distributed with a mean of a 100 and a standard deviation of 15. 1. What is the probability that a randomly selected individual would have an IQ between 97 and 112 2. What is the probability that a randomly selected individual would have an IQ between 100 and 113 3. What is the probability that a randomly selected individual would have an IQ of less than 112 and greater than 115
Many people believe that the average number of Facebook friends is 328. The population standard deviation is 32.2. A random sample of 60 high school students in a particular county revealed that the average number of Facebook friends was 340. At α = 0.05, is there sufficient evidence to conclude that the mean number of friends is greater than 328?
A random sample of sizen=20 has the mean 20 and standard deviation 5. What is the standard error of the mean ?
Suppose that the antenna lengths on woodlice are approximately normally distributed with a mean of 0.22 inches in a standard deviation of 0.05 inches. What proportion of woodlice have antenna lengths that are less than 0.15 inches? Round your answer to at least four decimal places.