нμl11.36 Sampling male students, continued. To estimate the mean height of malestudents on your campus, you will measure an SRS of students. You know fromdard deviation about 2.8 inches. You want your sample mean x to estimate withgovernment data that heights of young men are approximately Normal with froman error of no more than one-half inch in either direction.(a) What standard deviation must x have so that 99.7% of all samples give anwithin one-half inch of u? (Use the 68-95-99.7 rule.)(b) How large an SRS do you need to reduce the standard deviation of x to thevalue you found in part (a)?

Answered: Image /qna-images/answer/7905c81b-09d3-4e17-9e3d-2a91a7850226.jpg

Answered: of male 11.36 Sampling male students,…

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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Please help me understand the problem. Is the given standard deviations 6, and 7? I know I need to use the unit normal table, and shade the curve. But how? Thanks.
Gestation Periods of Humans. Gestation periods of humans have a mean of 266 days and a standard deviation of 16 days. Let y denote the variable "gestation period" for humans.a. Find the standardized variable corresponding to y.b. What are the mean and standard deviation of the standardized variable?c. Obtain the z-scores for gestation periods of 227 days and 315 days. Round your answers to two decimal places.d. Interpret your answers in part (c).
Use z scores to compare the given values. The tallest living man at one time had a height of 238 cm. The shortest living man at that time had a height of 142.4 cm. Heights of men at that time had a mean of 175.45 cm and a standard deviation of 5.59 cm. Which of these two men had the height that was more extreme? ... Since the z score for the tallest man is z = 0 and the z score for the shortest man is z = the man had the height that was Im- more extreme. (Round to two decimal places.) shortest tallest
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 44 feet. Let X = distance in feet for a fly ball. Find the 80th percentile of the distribution of fly balls. (Round your answer to one decimal place.)
A marketing specialist wants to estimate the average amount spent by visitors to an online retailer's newly-designed website. From the data in a preliminary study she guesses that the standard deviation of the amount spent is about 14 dollars. Question 1. How large a sample should she take to estimate the mean amount spent to within 5 dollars with 95% confidence? (Round your answer up to the next largest integer).
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
Ms. Gonzalez has recorded the test scores for each of her 25 students, She has calculated EX? = 320 and (EX) = 5,000, Calculate the estimated population standard deviation for her data. 1.98 2.24 O 5.00 O 3.95
The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation 40.5. All units are in mg/10 mL. Find the 40th The annual precipitation for one city is normally distributed with a mean of 26.8 inches and a standard deviation of 3.2 inches. What precipitation amounts will contain 99.7% of the observations?
A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.72 Ib, the mean of all of the weights is x= 2.345 lb, and the standard deviation of the weights is s =2.123 lb. a. What is the difference between the weight of 5.72 lb and the mean of the weights? b. How many standard deviations is that (the difference found in part (a))? c. Convert the weight of 5.72 Ib to a z score d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.72 Ib significant? a. The difference is lb. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The highest weight is
Please answer the following: You can Thank you. Adult IQ scores can be modeled using a normal model with mean 100 and a standadrd deviation of 15. a. Find the prportion of IQ scores that are less than 115. b. Find the proportion of IQ scores that are greater than 131.5. c. Find the proportion of IQ scores between 90 and 110. d. Find the proportion of IQ scores that are betewwn 110 and 120. e. Find the IQ score above which there are 10% of the scores. f. Find the IQ score below which there are 20% of the scores.
Please answer B, C, & D.

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