![ebzloera](/avatars/41192.jpg)
ebzloera
26.02.2020 •
Mathematics
A tobacco company claims that the amount of nicotene in its cigarettes is a random variable with mean 2.2 and standard deviation .3 mg. However, the sample mean nicotene content of 100 randomly chosen cigarettes was 3.1 mg. What is the approximate probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true?
Solved
Show answers
More tips
- L Leisure and Entertainment Choosing the Right Books to Read: Tips and Recommendations...
- L Leisure and Entertainment What can be considered an antique: defining and valuing old objects...
- B Business and Finance How to Open an Online Store? A Detailed Guide for Beginners...
- C Computers and Internet Log-in: what is it and why do you need it?...
- C Computers and Internet What is the Meaning of lol and How Did it Become Popular?...
- C Computers and Internet Clearing Cache: How to Speed Up Your Browser...
- H Health and Medicine How to Help Men Gain Weight?...
- F Family and Home How to Build a Strong Relationship with Your Child: Tips for Effective Communication...
- L Legal consultation Juvenile Justice: Who Needs It?...
- F Food and Cooking What age is appropriate for giving your child cocoa?...
Answers on questions: Mathematics
- M Mathematics Can someone help me with these 3 problems I have to find the slopes...
- M Mathematics What s the slope of (0,5) and (3,-1)...
- M Mathematics Ms. Fullerton ordered 9 markers and 5 packs of pencils on monday. She ordered three times the amount a month later. Use the distributive property to represent the...
- M Mathematics Who knows how to do this I TRULY NEED HELP...
- M Mathematics Five less than a number (x) multiplied by 3 is 7. Write and solve an equation....
- M Mathematics 9.5 9.375 9.75 9.125 from greatest to least...
- M Mathematics Is 0.18181818 rational or irrational?!...
- M Mathematics A mobile shop dealer sells his goods at 12% profit. If his total sales on a particular day is Rs.56000, what was his outlay? Please provide steps. thanks...
- M Mathematics Abdul buys dress pants from a clothing company for p dollars. He then sells each pair of pants in his men’s clothing shop at a 40% markup. Select all of the expressions...
- M Mathematics Find the x and y- intercept form of the equation below -4x-5y=20...
Ответ:
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central limit theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation ![s = \frac{\sigma}{\sqrt{n}}](/tpl/images/0524/0820/a95e6.png)
In this problem, we have that:
What is the approximate probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true?
This is 1 subtracted by the pvalue of Z when X = 3.1. So
By the Central Limit Theorem
1 - 1 = 0
0% probability that the sample mean would have been as high or higher than 3.1 if the company’s claims were true.
Ответ:
Tbh I don’t even know but think it like this why do boys like girls who are slim or have big b,oobas or bib bootays
Step-by-step explanation: