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 31.8 grams per pound. Find the probability of observing a sample mean of 31.8 grams of fat per pound or less in a random sample of 36 farm-raised trout.

Question

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 31.8 grams per pound. Find the probability of observing a sample mean of 31.8 grams of fat per pound or less in a random sample of 36 farm-raised trout.

Expert Answer

1 Rating

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: We have presented partially completed two-way ANOVA tables for a balanced ANOVA. a. fill in the miss...

A: a. Degrees of freedom for factor A: Mean sum of squares for error: Sum of squares for error:

Q: A new drug to treat psoriasis has been developed and is in clinical testing. Assume that those indiv...

A: Hello, since your question has multiple parts, we will solve first question for you. if you want rem...

Q: Determine 90% confidence interval for o. Summary statistics: n=10, s=1.055 b) c) d) (1.055, 2.390) (...

A: Click to see the answer

Q: A bag of M&M's has 5 red, 4 green, 7 blue, and 8 yellow M&M's. What is the probability of ra...

A: Click to see the answer

Q: The mean voltage and standard deviation of 10 batteries from each manufacturer were measured. The re...

A: The mean voltage and standard deviation of 10 batteries from each manufacturer were measured x1=191s...

Q: Consider a t distribution with 23 degrees of freedom. Compute P (-1.66 < t < 1.66). Round your...

A: Click to see the answer

Q: A random sample of 22 chemists from Washington state shows an average salary of $42044 with a standa...

A: Given data: Sample 1 is the sample obtained from Washington has following information: Sample 2 is ...

Q: the Wall Street Journal reported that bachelor’s degree recipients with majors in businessreceived a...

A: Click to see the answer

Q: For the distribution (-1,0,1), what is the sample variance?

A: Click to see the answer

Q: The odds against the horse Bucksnot winning the race are 11:17. What is the probability that Bucksno...

A: Given, odds against the horse Bucksnot winning the race are 11:17 P(Bucksnot will win the race)=?  

Q: The table below contains data about the cost of electricity during a recent month for a random sampl...

A: Click to see the answer

Q: The probability that a university graduate will be offered no jobs within a month of graduation is e...

A: Click to see the answer

Q: b.  What is the cumulative relative frequency for flossing 7 times per week? (ANSWER) %Round to 4 de...

A: b) The formula to obtain cumulative relative frequency is as follow:

Q: Is theory essential to the research process and statistics? Please Explain.

A: Introduction about Theory: Theory can be defined as the idea or concept that has no proof. It could ...

Q: A union of restaurant and food service workers would like to estimate the mean hourly wage, μ, of fo...

A: Click to see the answer

Q: Sketch the normal distribution with a. μ = −2 and σ = 2. b. μ = −2 and σ = 1/2. c. μ = 0 and σ = 2.

A: Click to see the answer

Q: There are 5 people from Arizona (A), 7 people from California (C), and 3 people from Nevada (N) equa...

A: Here,the total number of participants are 5+7+3=15.The number of ways in which three different peopl...

Q: If A and B are independent, then

A:  

Q: A laboratory in Washington is interested in finding the mean chloride level for a healthy resident i...

A: Given that the sample size is 80.  The population standard deviation is 44 mEq/L. The sample mean is...

Q: Can you tell how old a lion is by looking at its nose? A professor at the University of Wisconsin-Ma...

A: Click to see the answer

Q: How to answer h, i, j, and k?

A: Data are provided, Retail price and that of frequency. Standard deviation can be calculated as, The...

Q: Which of the following situations will result in probability or non-probability sampling?a. Populati...

A: Given data: It is provided with the various populations and sampling techniques to draw a sample fro...

Q: Given the sample data. x: 21 19 13 32 27 (a) Find the range.(b) Verify that Σx = 112 and Σx2...

A: Click to see the answer

Q: Given the frequency table below, what is the relative frequency of the data value 6? Value Freque...

A: The given frequency distribution is as follows:

Q: 8-please see attached

A: Click to see the answer

Q: In the following Python commands, what does the 0.99 represent?import scipy.stats as stst.norm.inter...

A: Confidence level: It refers to the percentage of all possible samples that can be expected to includ...

Q: Suppose that replacement time for washing machines are normally distributed with  mean 9.3 years and...

A: Click to see the answer

Q: Chapter 06 Multiple Choice Assume researchers are trying to find out the mean concentration levels ...

A: Click to see the answer

Q: An existing inventory for a test measuring self-esteem indicates that the scores have a standard dev...

A: Given Observation Sample size(n) = 90 Sample mean = 63 Population standard deviation = 8 Significanc...

Q: Which statistic (mean, median, or mode) is most appropriate in each of the following situations? Ta...

A: This is the mode of the distribution since mode is the table number that occurs most often that is t...

Q: The table below shows the number of one​ company's stores located in each of 50 regions. Complete pa...

A: Population mean is: Population standard deviation for given data is: Where, N = population size = ...

Q: Complete the following statements. In general, (ANSWER) % of the values in a data set lie at or belo...

A: The pth percentile of a set of observations is the value below which, p% or (p/100) proportion of th...

Q: A quantitative data set of size 60 has mean 45 in standard deviation six. Approximately how many obs...

A: Given observation Sample size = 60 Mean = 45 Standard deviation = 6 finding the value of z

Q: Given a random sample of size n from a Pareto pop-ulation, use the method of maximum likelihood to f...

A: The Pareto distribution is given by:

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

A: Given information- Population mean, μ = 69 ml/kg Population standard deviation, σ = 7.5 ml/kg Let X ...

Q: The following data represent the yield on 30 consecutive batches of ceramic substrate to which a met...

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we ar...

Q: G. What is the LCL of the 5th class interval H. What is the cumulative frequency of the 1st class in...

A: The data set is: IQ scores 88 75 120 63 103 65 85 85 100 86 87 95 45 ...

Q: We will take a sample size ​n=48 from a population with mean μ ​= 4.4 and σ ​= 0.5. The probability...

A: As given: n = 48  µ = 4.4 σ = 0.5 Also, it is given that " the probability that x is less than a cer...

Q: 1. A clustered bar chart to examine the method of payment by customer type (regular or promotional)....

A: Create a cross tabulation of type of customer versus method of payment: The data represents the valu...

Q: Find the z- score boundaries that separate a normal distribution as described in each of the followi...

A: Click to see the answer

Q: the data set has size 60. approximately how many observations lie within three standard deviations t...

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive...

Q: Please answer only c-e

A: From the provided information, The probability that any vehicle passes inspection = 0.7 c) Sample si...

Q: Big Blossom Greenhouse was commissioned to develop an extra large rose for the Rose Bowl Parade. A r...

A: Click to see the answer

Q: About 1% of the population has a particular genetic mutation. 187 people are randomly selected. Find...

A: Obtain the mean for the number of people with the genetic mutation in such groups of 187. The value ...

Q: Assume that there is a 4​% rate of disk drive failure in a year.   a. If all your computer data is s...

A: Assume that there is a 4​% rate of disk drive failure in a year. 1-p= 0.04, p=0.96 a) The probabilit...

Q: Christopher is 6' (72") tall. The population mean height for men in the United States is 5' 10" (70"...

A: Click to see the answer

Q: A researcher was interested in comparing the resting pulse rates of people who exercise regularly an...

A: Claim: Test whether there is any difference between the mean pulse rate of people who do not exercis...

Q: A consumer advocacy group is doing a large study on car rental practices. Among other things, the co...

A: Click to see the answer

Q: A fitness course claims that it can improve an individual's physical ability. To test the effect of ...

A: Using the given relation for the difference "d" calculating the values: Sit-ups before Sit-ups a...

Q: A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 5 wood and 17 ...

A: Click to see the answer