Suppose that you and every person in your very large city get five pieces of chocolate from Trader Joe's. These pieceshave weights that are normally distributed with a mean = 3 pounds and a standard deviation = 2 pounds. What is thatprobability that your chocolate pieces have an average weight greater than 3.2 pounds???What is the probability that your chocolate pieces from Trader Joe's have an average weight that is within .3 pounds ofthe mean?Find the average that your chocolate pieces would have to be in order for you to get more chocolate that 43% of all ofthe other people in our large city.

Given,sample size(n)=5mean(μ)=3standard deviation(σ)=2

Answered: Suppose that you and every person in…

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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In a certain species of newt, offspring are born either green or black. Suppose that 65% of these newts are born green. If we sample 139 of these newts at random, the probability distribution for the proportion of green newts in the sample can be modeled by the normal distribution pictured below.complete the boxes accurate to two decimal places. The left box is 2 standard deviations below the mean. The middle box is the mean. And, the right box is 2 standard deviations above the mean.
Suppose you have a population of adult male basketball players and you know their mean height is 190 cm and the standard deviation of their heights is 7.2 cm. The heights are normally distributed. Would it be surprising to find a randomly chosen player from this population with a height of 195 cm? Use probability to defend your answer.
Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of You may need to use the appropriate technology to answer this question. the amount managed by advisers from Company A was s, at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of $589 million. The standard deviation of the amount managed by advisers from Company B was s, = $486 million. Conduct a hypothesis test funds managed by advisers from the two firms? State the null and alternative hypotheses. Ho: 01 02 2 2 Ha: 01 02 2 Ho: 01 Hai 01 2 02 2 Ho: o 1 2 Ha: 01 > 02°…
A nutritionist conducted a study on the eating patterns of early adolescent boys and girls. Calorie intake is normally distributed for both boys and girls. The population means are 3300 calories per day for boys and 2900 calories per day for girls. The population standard deviations are 790 for boys and 720 for girls. The nutritionist believes that children may have an eating disorder if they are in the bottom 2% the distribution. Based on this, if a child’s intake is1600 calories per day, should the nutritionist be concerned that this child may have an eating disorder? (Compute for each gender separately). Does it make a difference if this child is a boy or a girl? Explain your answer. What proportion of girls consume between 2000 and 2400 calories per day? Is the proportion of boys who consume between 2000 and 2400 calories per day the same, higher, or lower than the proportion of girls who consume between 2000 and 2400 calories per day? Explain your answer.
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In the past, the value of houses a local realtor has sold is normally distributed with a mean of $255,000 with a standard deviation of $60,000. What is the probability that over the next 48 houses the realtor sells, the mean value is less than $240,000? (please round your answer to 4 decimal places)
Lucille, Rocio, and Cristina are all taking College Mathematics but from different professors. They all recently took a statistics exam and the exam scores were normally distributed in each of their classes. Lucille's class had an average grade of 85 and the standard deviation was 3. Lucille earned 89.5 on the exam. Rocio's class had an average grade of 83 and the standard deviation was 4. Rocio earned 87.4 on the exam. Cristina's class had an average grade of 76 and the standard deviation was 6. Cristina earned 79.3 on the exam. Since some professors give harder exams than others, these students decided to use statistics to figure out who did the best on their exam.
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