kalbaugh
28.02.2021 •
Mathematics
A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli with mean weight of 15.26 grams and standard deviation of 2.56 grams. The margin of error (ME) to construct a 99% confidence interval for the true mean amount of cheese filling is
A) 2.064 B) 1.432 C) 3.745 D) 1.276 E) 1.797
b. A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected
from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling. They find the 99% confidence interval of 14.16 to 15.84 grams. Which of the following is the correct interpretation?
I. We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams.
II. 99% of all ravioli made by this process will have cheese filling weights between 14.16 and 15.84 grams.
III.We are 99% confident that the interval (14.16, 15.84) contains the mean weight of cheese filling in all ravioli made by this process.
IV. The weight of cheese filling in the ravioli is between 14.16 and 15.84 grams 99% of the time.
A) I only
B) III only
C)I and III.
D) II and III
E) I and IV
Solved
Show answers
More tips
- H Health and Medicine How to Treat Whooping Cough in Children?...
- L Leisure and Entertainment Unlocking the Secrets of Fast and Effective Tectonic Learning...
- A Animals and plants Уход за джунгариками: полезные советы и рекомендации...
- S Style and Beauty How to knit a hooded cowl?...
- S Style and Beauty How to Break in New Shoes: 7 Simple Methods...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- A Art and Culture Attention, the Final Episode of Margo is Almost Here!...
- H Health and Medicine Novomin: What is it and how to use it?...
- L Leisure and Entertainment How to Land on the Moon: Your Comprehensive Guide...
Answers on questions: Mathematics
- M Mathematics What is the measurement of the smaller angle...
- M Mathematics Solve the equation C=5/9(F-32) Solve for F....
- M Mathematics The orbital period of a planet is the time it takes the planet to travel around the Sun. You can find the orbital period P (in Earth years) using the formula P=d3−−√, where...
- M Mathematics Choose 1 Those are the answer choices A.Only (5,4) B.Only (6,5) C.Both (5,4)(6,5) D.Neither...
- M Mathematics What is x³+y³+z³=8? this was on my math test and I want to see who can figure it out hehe...
- M Mathematics I wanted to thank the community of for helping me get an A in math! I take Honors Geometry and my teacher is REALLY bad at explaining stuff, you guys have really helped me!...
- M Mathematics The tree casts a shadow 48ft long. At the same time of day an alien who is 7ft tall casts a shadow 12ft long. What is the height of the tree? Explain or show all work....
- M Mathematics luis rides his bick 3/4 miles in 5 mins along the bick trill assuming he rides at a constant rate what is his speed in miles per hour...
- M Mathematics 7x-5=8(x+3) solve for x...
- M Mathematics The stopping distance, d ( in feet) for a car moving at a velocity (speed) v miles per hour is modeled by the equation: a=0.046² +1.10 What is the stopping distance for a...
Ответ:
a. B) 1.432
b. E) I and IV
Step-by-step explanation:
a. Margin of error to construct a 99% confidence interval is calculated as
where
t is the critical value expressed as t-score, which comes from t-distribution;
s is sample standard deviation
n is sample size
In this case, a t-score is used because the population standard deviation is unknown and the sample size is small, n < 30.
The way to find t-score is:
1) Define the degree of freedom, which is sample size minus 1: df = n - 1;
2) Compute alpha: ;
3) Find the critical probability:
With the df and critical probability, consulte the t-distribution table and find the score.
For the cheese filling:
df = 24
p = 0.995
t-score = 2.797
Calculating margin of error:
ME = 1.432
The margin of error to construct a 99% confidence interval for the true mean amount of cheese filling is 1.432.
b. Confidence interval is an interval in which we have a percentage of certainty that the true population mean is. For example, with a 99% confidence interval of 14.16 to 15.84 grams, we are 99% confident that the true mean weight of cheese filling is between those numbers or that the weight of cheese filling is between 14.16 and 15.84 grams 99% of the time.
Ответ:
Y-intercept : 9