**Problem 6: Mint Weight Distribution Analysis**A candy maker produces mints with a labeled weight of 20.4 grams. The actual distribution of the weights follows a normal distribution with parameters \(N(21.37, 0.16)\).**a) Single Mint Probability Calculation**Let \(X\) be the weight of a single mint chosen randomly from the production line. We seek the probability that this mint weighs more than 22.07 grams, denoted by \(P(X > 22.07)\).**b) Multiple Mints Probability Calculation**Consider a scenario where 15 mints are selected independently and weighed. Let \(Y\) represent the count of these mints that have a weight less than 20.8 grams. We are tasked with finding the probability that at most 2 of these mints weigh less than 20.8 grams, expressed as \(P(Y \leq 2)\).

Question 6)The distribution of the weights of mints is .a. The random variable represents the…

Answered: 6. A candy maker produces mints that…

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 Normal distribution has mean =28 and a standard deviation =5. A) find the z score corresponding to x =23. B) find the z score corresponding to x =39 C) find the raw score corresponding to z = -2 D) find the raw score corresponding to z = 1.7
The ages of the winners of a cycling tournament are aproximately bell-shaped. The mean age is 27.9 years, with a standard deviation of 3.5 years. The winner in one recent year was 34 years old. a) Gransform the age to a z-score b) Interpret the results c) Determne whether the age is unusual. ---------------------------------------------------------- a) transform the age to a z-score z=_____ type an integer or decimal rounded to two decimal places as needed
5. The distribution of male weight in the United States has a standard deviation of roughly o = 25 lbs. The average weight u varies from state to state. Suppose you randomly select 100 males in Louisiana and ask their weights, and you compute the average weight Xn of the n = 100 males. a) Assuming that the standard deviation of weight in Louisiana is 25 lbs, what does the Central Limit Theorem tell you the (approximate) distribution of X will be?
Let x₁ represent the sample mean cost (in thousands) to remodel a kitchen and x₂ represent the sample mean cost (in thousands) to remodel a master bedroom. A point estimate for the difference in these remodeling costs is desired, so x₁ - x₂ is needed. A sample mean is calculated as follows where x, is the sum of the given values and n is the sample size. X = n The sample of costs to remodel a kitchen, in thousands of dollars, are given. Kitchen 27.2 18.4 23.8 22.9 20.7 24.0 21.7 17.9
Average monthly wages (per employee) in 4 sectors of an economy are as follows: industry: 2000 dinars, building: 2200 dinars, agriculture: 1500 dinars, services: 1800 dinars. Number of people employed in the four sectors are 5 million, 2 million, 6 million, and 2 million, respectively. Using the concept of harmonic mean compute the average monthly wages in the economy under consideration.
A sample of students is to be selected to estimate the proportion who have recieved a medical examination during the past year. The survey found that x =567 students were examined during the past year. Construct a 95% interval estimate of the population proportion if the sample size was n=700
An author claimed that his annual book sales increased after the year 2000. Past data indicates that the average annual sales for his books are Php 200 M (200 million pesos). The data for the annual sales are normally distributed as shown (in million peso): 2000: 50 2001: 782006: 4002011: 1892016: 83 2002: 3002007: 2902012: 2052017: 132 2003: 2502008: 932013: 3722018: 173 2004: 2002009: 1522014: 4262019: 195 2005: 1852010: 2372015: 252020: 450 Are the author's words true at 98% confidence? In your complete solution, state the null and alternative hypothesis and the complete calculation of test statistic.
Solve for C) answer b was wrong
0 - Which of the following frequency does not give information about the status of a data class in the total data? a) percent frequency B) Tuned frequency C) relative frequency D) proportional frequency TO) cumulative frequency
For a certain type of computers, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. Write down the function, draw bell-shaped curve & calculate the: a)Area between 50 and 70 hours. b)Area above 40 hours. c)X value that has 28% area above it. d)X value that has 60% area below it.
Need only handwritten solution only (not typed one).

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