Porosity measurements in several oil fields show a normal distribution

Jason Watson 2021-11-28 Answered
Porosity measurements in several oil fields show a normal distribution with a mean of 5% and a standard deviation of 1%. A total of 25 measurements are collected randomly from the available data. Determine the minimum value of the mean of porosity for such a sample so that the probability to have it lower than it is 5%.
Select one:
a. 4.67
b. 3.36
c. 4.75
d. 4.61
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Sue Leahy
Answered 2021-11-29 Author has 13 answers
Step 1
Given that the mean of the distribution is =5% and standard deviation =1%
So the sample mean =5%
Sample standard deviation=1%25=1%5=0.2%
Step 2
Let there are 5% of the mean below X
So,
Φ(X50.2)=0.05
X50.2=Φ1(0.05)
X50.2=1.645
X=5+0.2(1.645)
X=4.6714.67
Answer: A
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2021-05-08
Raul is conducting a survey for the school news blog. He surveys 200 senior-class students and finds that 78 students have access to a car on weekends, 54 students have regular chores assigned at home, and 80 students neither have access to a car, nor have regular chores to do. Raul is having a hard time putting the data into a two-way table. Car No car Chores No chores a. Copy and complete the two-way table to help Raul figure out the number of students in each situation. b. Two-way tables often include row and column totals. Add row and column totals to your two-way table. Is there an association between car privileges and having regular chores for these students? Explain your answer in the context of the problem.
asked 2021-12-03
In the formula for r, if we exchange the symbols x and y, do we get a different result or do we get the same (equivalent) result? Explain your answer.
The result is different because the formula is not dependent on the symbols.The result is the same because the formula is not dependent on the symbols. The result is different because the formula is dependent on the symbols.The result is the same because the formula is dependent on the symbols.
(b) If we have a set of x and y data values and we exchange corresponding x and yvalues to get a new data set, should the sample correlation coefficient be the same for both sets of data? Explain your answer.
The result is different because the formula is not dependent on which values are the x values and which values are the y values.The result is the same because the formula is not dependent on which values are the x values and which values are the y values. The result is different because the formula is dependent on which values are the x values and which values are the y values.The result is the same because the formula is dependent on which values are the x values and which values are the y values.
asked 2021-12-02
A class is collecting data on eye color and gender. They organize the data they collected into the table shown. Numbers in the table represent the number of students from the class that belong to each of the categories. Use the data to solve, Find the probability that a randomly selected student from the class represented in the shown table has brown eyes or blue eyes. Express probabilities as simplified fractions.
BrownBlueGreenMale221810Female182012
asked 2021-11-26
Consider the boxplot below.
43 58 61 67 74
a. What quarter has the smallest spread of data?
- Third
- First
- Fourth
- Second
b. What is that spread?
c. What quarter has the largest spread of data?
- Fourth
- Second
- First
- Third
asked 2021-02-04
To explain:The explanatory variable in the study and determine whether it is a qualitive variable or quantitative variable.
asked 2021-11-28
A random sample of 25 of the 400 member of the Bigtime Theater Company is surveyed about how may plays each has acted in. Which statement below would be an appropriate inference about the data?
3,5,5,3,4,4,1,3,6,10,1,3,4,5,1,2,4,2,3,2,5,5,5,5,6
1) Most members have acted in 2 plays.
2) Most members have acted in more than 6 plays.
3) Most members have acted in between 1-4 plays.
4) The number of members who have acted in 10 plays is greater than the number of members who have acted in 1 play.
asked 2022-04-06
Let f ( x ) = x 2 + x 6.
a. Write down the y-intercept of the graph of f.
how do we figure this out? I know f ( x ) means y, so do we use the quadratic formula? x 2 + x 6.
b. Solve f ( x ) = 0.
We plug 0 into the x’s in the original formula, right?

New questions