Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 38 farm-raised trout is selected. The mean fat content for the sample is 29.7 grams per pound. Find the probability of observing a sample mean of 29.7 grams of fat per pound or less in a random sample of 38 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 38 farm-raised trout is selected. The mean fat content for the sample is 29.7 grams per pound. Find the probability of observing a sample mean of 29.7 grams of fat per pound or less in a random sample of 38 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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: Seventy million pounds of trout are grown in the U.S. every year. Farm- raised trout contain an…

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

Q: in a random sample of 92 trout, the average weight is 8 pounds, with standard Heviation(s) = 0.4,…

A: Answer: From the given data, Sample size(n) = 92 mean(x¯) = 8 Standard deviation(S) = 0.4

Q: According to one study, the average hours of sleep on a weeknight for men was 6.9 hours with a…

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: Solution: Given information: n= 40 Sample size x = 29.7 Sample mean μ= 32 Population mean σ= 7.5…

Q: Find the time it takes the fastest 24.2% of the college students to find a parking spot in the…

A: The length of time it takes college students to find a parking spot in the library parking lot…

Q: The tread life of a certain brand of tires is known to be normally distributed with a mean of 40,000…

A: From the provided information, Mean (µ) = 40000 miles Standard deviation (σ) = 2000 miles X~N…

Q: Find the range of values where Choose a mate the middle 80% of the distribution of sample means will…

Q: Sixty-three percent of U.S. households have a personal computer. In a random sample of 400…

A: From the provided information, 63% of US households have a personal computer that is p = 0.63 Sample…

Q: The ages of the members of a popular ski club is normally distributed with a mean of 46 years and a…

A: Given that the ages of the members of a popular ski club is normally distributed with a mean of 46…

Q: The amount of miraculin produced in a hybrid tomato plant had a mean of 105.3 micrograms per gram of…

Q: A notable indicator of a baby's health is the weight gained in the first year of the baby's life.…

A: Given that Sample size =14 Sample mean =5904 Sample standard deviation =1611 For confidence level…

Q: A researcher measures the lengths of 3-year-old yellow perch in a fish hatchery and finds that they…

A: From the provided information, Mean (µ) = 17.2 Standard deviation (σ) = 3.4 X~N (17.2, 3.4)

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: 70 million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average…

Q: seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: We have to find out given probability..

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: We have given that Mean=32 Standard deviation=8 Sample size=34

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: GivenMean(μ)=32standard deviation(σ)=7sample size(n)=36

Q: A particular fruit's weights are normally distributed, with a mean of 486 grams and a standard…

Q: A recent study shows that out of 5, 000 people who moved to Arizona, 2, 350 did so to take a new…

A: From the given information, sample size n = 1000. Total number of people moved n(S) = 5000. Number…

Q: The population mean is 75 and the population standard deviation = 6. Random samples (containing 16…

A: Given , The population mean ( n ) = 75 , the population standard deviation ( σ )= 6

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: Solution-: Given: \mu=32, \sigma=7.5,n=34 We want to find P(sample mean of 31.1 grams of fat per…

Q: A successful basketball player has a height of 6 feet 8 inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: Given:- μ = 32σ = 7.5n = 36x = 31.5we have to find PX ≤31.5

Q: The heights of a pediatricians three-year-old females are approximately normally distributed, with…

Q: A researcher wants to examine whether VCU students send and receive fewer texts per day than the…

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: Given: μ = 32 σ = 7.5 n = 36

Q: A fire department in a rural county reports that its response time to fires is approximately…

A: Consider that a random variable x, defines the response time to fires.

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: Let X be the weight (in grams) of fat per pound. Let us assume that X is normally distributed with…

Q: A marine researcher claims that the stomachs of blue crabs from one location contain more fish than…

A: From the provided information,

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: From the provided information, Mean (µ) = 32 Standard deviation (σ) = 7

Q: The length of a fully grown hibiscus plant is normally distributed and has a mean 35cm. It is found…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: In a recent study of 35 Grade5 students, the mean number of hours per week that they played video…

A: We know that, Sample size (n) = 35, sample mean (x̄) = 16.6 and population standard deviation (σ) =…

Q: What proportion of skiers will finish the race in exactly one minute?

A: The tume it takes for downhill skiers to finish a race follows a Normal distribution with a mean of…

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: Given that: X is normally Distributed with mean µ = 32.0 and standard deviation σ = 7.5 By using…

Q: A particular fruit's weights are normally distributed, with a mean of 230 grams and a standard…

A: The provided information is:

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: GivenMean(μ)=32standard deviation(σ)=8sample size(n)=38

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: The annual per capita consumption of canned fruit by people in the U.S. is normally distributed,…

A: Sampling distribution of x¯ : If simple random sample of size n is drawn from Normal population with…

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

A: We have to find probability for given sampling distribution using z table.

Q: Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an…

Q: A particular fruit's weights are normally distributed, with a mean of 621 grams and a standard…

A: It is given that the fruits weights follow normal distribution with mean 621 and standard deviation…

Q: A library checks out an average of 332 books per day with a standard deviation of 58 books. The…

A: Given that a library checks out an average of 332 books per day with standard deviation of 58 books.…

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of

grams of fat per pound, with a standard deviation of

grams of fat per pound. A random sample of

farm-raised trout is selected. The mean fat content for the sample is

29.7

grams per pound. Find the probability of observing a sample mean of

29.7

grams of fat per pound or less in a random sample of

farm-raised trout.

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

Video Video

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

For a random sample of 40 students, the average statistics midterm score is 73 points (out of a possible 100 points). The standard deviation in the sample was 7.3. What is the standard error of the mean?
A household spends on average of P5,500 for a 2-week period grocery items. The variable is normally distributed and the standard deviation is P700.00. Find the maximum and minimum amounts spent for a 2-week period for the middle 50% of the households.
Karen wants to advertise how many chocolate chips are in each Big Chip cookie at her bakery. She randomly selects a sample of 45 cookies and finds that the number of chocolate chips per cook
A candy store sells about 8 million pieces of candy per day with a standard deviation of 300,000 pieces of candy. Assuming this follows a normal distribution, what is the 90th percentile of the number candy that they sell in a given day?
Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 40 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 40 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
for a particular diamond mine ,80% of all the diamonds fail to qualify as gemstones grade. a random sample of 113 diamonds is analysed. find the standard deviation
Assume the annual day care cost per child is normally distributed with a mean of $9000 and a standard deviation of $500. In a random sample of 120 families, how many pay more than $8685 annually for day care per child?
The salary for workers at a company are normally distributed with a mean of $60,000 and a standard deviation of $9,000. A random sample of 36 employees was taken. The top 10% of employees make or more. round to the nearest dollar.
A particular fruit's weights are normally distributed, with a mean of 464 grams and a standard deviation of 19 grams.The heaviest 18% of fruits weigh more than how many grams?
Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 8 grams of fat per pound. A random sample of 40 farm-raised trout is selected. The mean fat content for the sample is 31.1 grams per pound. Find the probability of observing a sample mean of 31.1 grams of fat per pound or less in a random sample of 40 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Esp Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 36 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 36 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
A simple random sample of 144 observations was taken from a large population. The sample mean and the standard deviation were determined to be 120.8 and 32.46 respectively. The standard error of the mean is a. 3.7215 b. 10.0667 c. 0.8389 d. 0.2254 e. 2.7050