The weight of people in a small town in Missouri is known to be normally distributed with a mean of 176 pounds and a standard deviation of 27 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,564 pounds or 18 persons." What is the probability that a random sample of 18 persons will exceed the weight limit of 3,564 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.) Probability

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 176 pounds and a standard deviation of 27 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,564 pounds or 18 persons." What is the probability that a random sample of 18 persons will exceed the weight limit of 3,564 pounds? (You may find it useful to reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.) Probability

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 particular fruit's weights are normally distri grams. The heaviest 14% of fruits weigh more than…

A: Given: Mean, μ=448 Standard deviation, σ=21 Using standard normal table: P (Z>z)=14%1-P…

Q: 12. The red blood cell count for a population of adult males can be approximated by a normal…

A: We have given that X~N( μ , ?^2 ) μ = 5.4 , ? = 0.4 Z-score =( x - μ )/? ,

Q: Can you guys help me on this? Thank you!

Q: A particular fruit's weights are normally distributed, with a mean of 527 grams and a standard…

A: Given Mean=527 Standard deviations=5

Q: A particular fruit's weights are normally distributed, with a mean of 237 grams and a standard…

A: Given information Mean (µ) = 237 grams Standard deviation (σ) = 35 grams The heaviest 4% of fruits…

Q: am 1 scores have a mean of 530 and a standard deviation of 110, while exam 2 scores have a mean ores…

A: The z score for exam 1 is:

Q: minutes. What percentage of his commutes will be between 13 and 26 minutes, to the nearest tenth?

A: Let X be the random variable that amount of time to arrive. Given that, X~N(μ=23,σ=5)

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: A certain dataset has the following values: Mean = 40; Median = 30; Mode = 30 What is the shape of…

A: It is an important part of statistics . It is widely used .

Q: [1] The lengths of all hullback trout are normally distributed: N(16 inches, 3.6 inches), means that…

A: The lengths of hullback trout are normally distributed with mean inches and the standard deviation…

Q: A particular fruit's weights are normally distributed, with a mean of 583 grams and a standard…

A: To find: The heaviest 15% of fruits weigh more than how many grams?

Q: A particular fruit's weights are normally distributed, with a mean of 645 grams and a standard…

A: Let X denote the fruit's weights and it follows normal distribution with a mean of μ=645 grams and…

Q: A particular fruit's weights are normally distributed, with a mean of 528 grams and a standard…

A: Solution: Let X be the weight of a fruit. From the given information, X follows normal distribution…

Q: The average number of miles (in thousands) that a car's tire will function before needing…

A: b) The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the…

Q: A particular fruit's weights are normally distributed, with a mean of 377 grams and a standard…

A: Find z-value: Note: The total area under the normal curve is 1. Area to the left of z under the…

Q: Given the mean of a normally distributed data set is 25, with standard deviation of 5, what percent…

A: We will standardize the normal variable and then use standard Normal table to find the required.

Q: The Ankle Brachial Index (ABI) compares the blood pressure of a patient's arm to the blood pressure…

Q: Find the p-value. (Type an integer or decimal rounded to three decimal places as needed.)

A: The test statistic is, t=x¯-μsn=37.9-38215=-0.1936≈-0.19 The test statistic is -0.19. The degrees of…

Q: A particular fruit's weights are normally distributed, with a mean of 453 grams and a standard…

Q: If the Variance of a data set is 16.01, what is the Standard Deviation? State your result as a…

A: Standard deviation is the square root of variance

Q: Can you guys help me on this? Thank you!

A: The 95% confidence interval: 1.2 mi/day to 7.8 mi/day If this is incorrect try to input 1.3 mi/day…

Q: The weights of Ajax salmon are approximately normally distributed with a mean of 34 pounds and a…

A: GivenMean(x¯)=34standard deviation(σ)=8

Q: e. Compare the results of parts (a) through (d) to those when the standard deviation is 0.030. When…

A: We have given that e) standard deviation sigma =0.030 , ZSTAT= -1.24 and p-value =0.216 99%…

Q: You may need to use the appropriate appendix table or technology to answer this question. A random…

A: Let us consider two samples which are independent of each other The tourist of each sample are taken…

Q: A particular fruit's weights are normally distributed, with a mean of 349 grams and a standard…

A: Let X be the particular fruits weight. The Mean is μ=349. The standard deviation is σ=36.

Q: mean length of 25 cm. Because of the variability in the manufacturing process, the lengths of the…

A: Population mean μ =25 Population standard deviation =0.08

Q: Suppose you organized a 10-kilometer race in which the times were normally distributed with a mean…

A: Let X be any selected finishing time. Here, we have to find the percentage of runners took longer…

Q: A particular fruit's weights are normally distributed, with a mean of 384 grams and a standard…

A: Let X be the fruit's weights follows normally distributed, with a mean of 384 grams and a standard…

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

The weight of people in a small town in Missouri is known to be normally distributed with
deviation of 27 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,564 pounds or 18 persons."
What is the probability that a random sample of 18 persons will exceed the weight limit of 3,564 pounds? (You may find it useful to
reference the z table. Do not round intermediate calculations. Round final answer to 2 decimal places.)
mean of 176 pounds and a standard
Probability

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

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, statistics and related others by exploring similar questions and additional content below.

Similar questions

A particular fruit's weights are normally distributed, with a mean of 464 grams and a standard deviation of 21 grams.The heaviest 11% of fruits weigh more than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 380 grams and a standard deviation of 12 grams.The heaviest 9% of fruits weigh more than how many grams?Give your answer to the nearest gram.
We have a distribution with a mean of ? = 35 and ? = 3.5. Find the raw score equivalents for the following z-scores: -3.01, -2.56, -1.21, 1.40, 2.77, 3.00
A particular fruit's weights are normally distributed, with a mean of 527 grams and a standard deviation of 17 grams. The heaviest 9% of fruits weigh more than how many grams? Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 382 grams and a standard deviation of 15 grams.The heaviest 14% of fruits weigh more than how many grams?Give your answer to the nearest gram.
The University of Montana admission standards require students to have an ACT score of at least 22. We know that Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. A: Students in Oregon have a mean ACT score of 21.1 with a standard deviation of 2.8. If we chose one student each at random from Oregon and from Montana, which student would be more likely to meet the ACT requirements of the University of Montana? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution. B: We know that the Montana ACT scores are normally distributed with a mean of 20.1 and a standard deviation of 4. Assume that the top 2% of individuals in the state are eligible for a state-funded scholarship. What score does an individual need on the ACT to be eligible? Explain your answer using the appropriate statistics and a correctly labeled and shaded normal distribution
A particular fruit's weights are normally distributed, with a mean of 228 grams and a standard deviation of 20 grams. The heaviest 4% of fruits weigh more than how many grams? Give your answer to the nearest gram.
You may need to use the appropriate appendix table or technology to answer this question. A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 72 and a standard deviation of 13. If 68 percent of the students received grades of C or better, what is the minimum score of those who received Cs? O 58.57 65.87 78.13 O 85.43
You may need to use the appropriate appendix table or technology to answer this question. Money reports that the average annual cost of the first year of owning and caring for a large dog in 2017 is $1,448. The Irish Red and White Setter Association of America has requested a study to estimate the annual first-year cost for owners of this breed. A sample of 50 will be used. Based on past studies, the population standard deviation is assumed known with o = $245. 1,902 2,042 1,936 1,817 1,504 1,572 1,532 1,907 1,882 2,153 1,945 1,335 2,006 1,516 1,839 1,739 1,456 1,958 1,934 2,094 1,739 1,434 1,667 1,679 1,736 1,670 1,770 2,052 1,379 1,939 1,854 1,913 2,163 1,737 1,888 1,737 2,230 2,131 1,813 2,118 1,978 2,166 1,482 1,700 1,679 2,060 1,683 1,850 2,232 2,294 (a) What is the margin of error for a 95% confidence interval of the mean cost in dollars of the first year of owning and caring for this breed? (Round your answer to nearest cent.) (b) The DATAfile Setters contains data collected…
A particular fruit's weights are normally distributed, with a mean of 363 grams and a standard deviation of 17 grams.The heaviest 19% of fruits weigh more than how many grams?Give your answer to the nearest gram.
A particular fruit's weights are normally distributed, with a mean of 323 grams and a standard deviation of 7 grams.The heaviest 18% of fruits weigh more than how many grams?Give your answer to the nearest gram.
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?