Question
Asked Oct 18, 2019
55 views

The weights of certain machine components are normally distributed with a mean of 8.5 g and a standard deviation of 0.09 g. Find the two weights that separate the top 3% and the bottom 3%. These weights could serve as limits used to identify which components should be rejected. Round to the nearest hundredth of a gram.

 

Find the indicated probability, showing an appropriate calculator sequence.

check_circle

Expert Answer

Step 1

It is given that the mean and standard deviation are 8.5 and 0.09, respectively.

Step 2

The area of 0.03 to the left of z is –1.88 using standard normal table.

 

The weight that separate the bottom 3% is obtained as follows:

fullscreen
Step 3

area of 0.03 to the right of z is 1.88 using standard normal table.

 

The weight that separate the top 3% is obtained as follows:

...
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: 6.some of the children given a new flu vaccine later develop a neurological disease. Parents claim t...

A: Introduction:Association and causation:Association:Consider two variables, say, X and Y. These will ...

question_answer

Q: A cumulative frequency distribution associates each value in a data set with the     proportio...

A: Introduction:Frequency of a value is the count of the number of observations of that value, observed...

question_answer

Q: On the ballot, Illinois voters had the option to select "yes" or "No" when asked if the state’s mini...

A: The sample proportion is 0.6175.The sample size is 50.Since the required confidence interval is 95%,...

question_answer

Q: Probability Number of Bases 0.7429 0 0.1704 1 0.0517 2 0.0055 3 0.0295 Best of three In a best out o...

A: The possible number of games played in the series is 2 and 3.

question_answer

Q: The symbol P(B|A) is read the probability of     B and A     B or A     B given A ...

A: Conditional probability:The conditional probability of an event is the probability of the happening ...

question_answer

Q: If x is a binomial random variable, use the binomial probability table to find the probabilities bel...

A: a.The binomial probability table for n=15 and p=0.7.From the binomial probability table for n=15 and...

question_answer

Q: Wes is picking out some movies to rent, and he has narrowed down his selections to 66 dramas, 55 com...

A: Hello there, in the question digit has been repeated, it is appearing 66,55,44,77,99,55 to us. I hav...

question_answer

Q: I have no clue..

A: Given data and calculation for the mean and standard deviation is shown below

question_answer

Q: dear sir mam how do u create a steam and leaf data plot

A: Stem-and-leaf plot:A graphical representation of the quantitative data in which each data entry is s...