The length of rose stems follows a normal distribution with a mean length of 17.37 inches and a standard deviation of 3.285 inches. A flower shop sells roses as parts of wedding flowers, wedding bouquets, and corsages. Please use this information to answer the following questions and please use R (not the z-table) for any calculations.a. What is the probability that a given rose stem will be shorter than 14.9 inches?Answer: Round to at least FOUR digits after the decimal if necessary.b. Suppose a rose is considered a 'long stem rose' if its stem length is longer than 22.3 inches. What is the probability that a given rose will be considered a long stem rose?Answer: Round to at least FOUR digits after the decimal if necessary.c. The flower shop has a rule that shortest 9% of roses are clipped and used as corsages. What is the maximum stem length (in inches) a rose can be and still qualify to be used as a corsage by the shop?Answer: inches. Round to at least FOUR digits after the decimal if necessary.d. Suppose the z-score (standardized score) of a rose stem length given as 0.81. Which of the following statements is a correct interpretation of the meaning of this value? A. The length of this stem is 0.81 inches longer than the average rose stem B. The length of this stem is 0.81 times longer than the average rose stem C. The length of this stem is 0.81 standard deviations longer than the average rose stem D. There is not enough information provided to interpret this value Problem 2. (8 points)The length of rose stems follows a normal distribution with a mean length of 17.37 inches and a standard deviation of 3.285 inches. A flower shop sells roses as parts of wedding flowers, wedding bouquets, and corsages. Please use this information to answer the followingquestions and please use R (not the z-table) for any calculations.a. What is the probability that a given rose stem will be shorter than 14.9 inches?Answer:Round to at least FOUR digits after the decimal if necessary.b. Suppose a rose is considered a 'long stem rose' if its stem length is longer than 22.3 inches. What is the probability that a given rose will be considered a long stem rose?Round to at least FOUR digits after the decimal if necessary.Answer:c. The flower shop has a rule that shortest 9% of roses are clipped and used as corsages. What is the maximum stem length (in inches) a rose can be and still qualify to be used as a corsage by the shop?Answer: inches. Round to at least FOUR digits after the decimal if necessary.d. Suppose the z-score (standardized score) of a rose stem length given as 0.81. Which of the following statements is a correct interpretation of the meaning of this value?○ A. The length of this stem is 0.81 inches longer than the average rose stemOB. The length of this stem is 0.81 times longer than the average rose stemC. The length of this stem is 0.81 standard deviations longer than the average rose stemO D. There is not enough information provided to interpret this value

a)The probability that the length of a rose stem is less than 14.9 inches is equal to 0.2261.b) The…

Problem 2. (8 points) The length of rose stems follows a normal distribution with a mean length of 17.37 inches and a standard deviation of 3.285 inches. A flower shop sells roses as parts of wedding flowers, wedding bouquets, and corsages. Please use this information to answer the following questions and please use R (not the z-table) for any calculations. a. What is the probability that a given rose stem will be shorter than 14.9 inches? Answer: Round to at least FOUR digits after the decimal if necessary. b. Suppose a rose is considered a 'long stem rose' if its stem length is longer than 22.3 inches. What is the probability that a given rose will be considered a long stem rose? Round to at least FOUR digits after the decimal if necessary. Answer: c. The flower shop has a rule that shortest 9% of roses are clipped and used as corsages. What is the maximum stem length (in inches) a rose can be and still qualify to be used as a corsage by the shop? Answer: inches. Round to at least FOUR digits after the decimal if necessary. d. Suppose the z-score (standardized score) of a rose stem length given as 0.81. Which of the following statements is a correct interpretation of the meaning of this value? ○ A. The length of this stem is 0.81 inches longer than the average rose stem OB. The length of this stem is 0.81 times longer than the average rose stem C. The length of this stem is 0.81 standard deviations longer than the average rose stem O D. There is not enough information provided to interpret this value

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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Question

The length of rose stems follows a normal distribution with a mean length of 17.37 inches and a standard deviation of 3.285 inches. A flower shop sells roses as parts of wedding flowers, wedding bouquets, and corsages. Please use this information to answer the following questions and please use R (not the z-table) for any calculations.

a. What is the probability that a given rose stem will be shorter than 14.9 inches?
Answer:  Round to at least FOUR digits after the decimal if necessary.

b. Suppose a rose is considered a 'long stem rose' if its stem length is longer than 22.3 inches. What is the probability that a given rose will be considered a long stem rose?
Answer:  Round to at least FOUR digits after the decimal if necessary.

c. The flower shop has a rule that shortest 9% of roses are clipped and used as corsages. What is the maximum stem length (in inches) a rose can be and still qualify to be used as a corsage by the shop?
Answer:  inches. Round to at least FOUR digits after the decimal if necessary.

d. Suppose the z-score (standardized score) of a rose stem length given as 0.81. Which of the following statements is a correct interpretation of the meaning of this value?

A. The length of this stem is 0.81 inches longer than the average rose stem
B. The length of this stem is 0.81 times longer than the average rose stem
C. The length of this stem is 0.81 standard deviations longer than the average rose stem
D. There is not enough information provided to interpret this value

Problem 2. (8 points)
The length of rose stems follows a normal distribution with a mean length of 17.37 inches and a standard deviation of 3.285 inches. A flower shop sells roses as parts of wedding flowers, wedding bouquets, and corsages. Please use this information to answer the following
questions and please use R (not the z-table) for any calculations.
a. What is the probability that a given rose stem will be shorter than 14.9 inches?
Answer:
Round to at least FOUR digits after the decimal if necessary.
b. Suppose a rose is considered a 'long stem rose' if its stem length is longer than 22.3 inches. What is the probability that a given rose will be considered a long stem rose?
Round to at least FOUR digits after the decimal if necessary.
Answer:
c. The flower shop has a rule that shortest 9% of roses are clipped and used as corsages. What is the maximum stem length (in inches) a rose can be and still qualify to be used as a corsage by the shop?
Answer: inches. Round to at least FOUR digits after the decimal if necessary.
d. Suppose the z-score (standardized score) of a rose stem length given as 0.81. Which of the following statements is a correct interpretation of the meaning of this value?
○ A. The length of this stem is 0.81 inches longer than the average rose stem
OB. The length of this stem is 0.81 times longer than the average rose stem
C. The length of this stem is 0.81 standard deviations longer than the average rose stem
O D. There is not enough information provided to interpret this value

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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