The text for an educational website could read as follows:---**11.26 Heights of Male Students**In this exercise, we aim to estimate the mean height ($\mu$) of male students on a campus. You will measure a Simple Random Sample (SRS) of students. Knowing that heights of individuals of the same sex and similar ages follow a normal distribution, government data provide a standard deviation of approximately 2.8 inches for young men's heights. We assume, though it is unknown to you, that the mean height of all male students is 70 inches.**Problem Statements:**(a) If a single student is selected at random, what is the probability that his height is between 69 and 71 inches?(b) You will measure the heights of 25 students. What is the sampling distribution of their average height $\bar{x}$?(c) What is the probability that the mean height of this sample is between 69 and 71 inches?--- This example illustrates concepts in statistics, particularly related to sampling distributions and probability calculations in the context of a normal distribution.

Answered: 11.26 Heights of male students. To…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A professor knows that her statistics students' final exam scores have a mean of 79 and a standard deviation of 12.4. In his class, an "A" is any exam score of 90 or higher. This quarter she has 25 students in her class. What is the probability that 7 students or more will score an "A" on the final exam?
Please help me answer this!
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
Can you please answer parts c and d of the attached question. Thank you.
From candy to jewelry to flowers, the average consumer was expected to spend $104.63 for Mother’s Day in 2005, according to a Democrat & Chronicle article. Local merchants thought this average was too high for their area. They contracted an agency to conduct a study. A random sample of 60 consumers was taken at a local shopping mall the Saturday before Mother’s Day and produced the sample mean amount of $94.27. If σ = $29.50, does the sample provide sufficient evidence to support the merchants’ claim at the 0.03 level of significance? 1. Do you recognize any flaws in this study and what conclusions can you draw? The article “Well-fed Crickets Bowl Maidens Over” reports that female field crickets are attracted to males that have high chirp rates and hypothesized that chirp rate is related to nutritional status. The usual chirp rate doe male field crickets was reported to vary around a mean of 60 chirps per second. To investigate whether chirp rate was related to nutritional…
Citizens use an average of 650 pounds of paper a year. Suppose that the distribution is normal with a population standard deviation of 153.5 pounds. Suppose you take a random sample of 25 Citizens. What is the probability that the mean pounds of paper used in a year are between 500 and 700 pounds
A population has a mean of 90 and a standard deviation of 10. A sample of 100 observations will be taken. The probability that the mean from that sample will be less than 92 is
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?
You have a uniform distribution whose lowest value is 7 and whose highest value is 15. Find the probability that a randomly selected number from this distribution will be between 9.3 and 10.6.
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 59. Assume fourteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 14, find the probability that the average number of friends is more than 94. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? Yes No Submit Question logi F2 F5 3 R. T. *CO 8 7 6
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?

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