The amount of time devoted to studying statistics each week by students who achieve a grade of A in the course is a normally distributed random variable, with a mean of 7.5 hours and a standard deviation of 2.1 hours. Also indicate whether the event is usual or unusual D.  What is the amount of time below which only 5 percent of all A students spend studying  *Please do not solve using Microsoft Excel.  My professor is not teaching using excel.  I would like to see the steps involved to solving the problem for my own study reference for exams.*

Question
Asked Nov 9, 2019
1 views

The amount of time devoted to studying statistics each week by students who achieve a grade of A in the course is a normally distributed random variable, with a mean of 7.5 hours and a standard deviation of 2.1 hours. Also indicate whether the event is usual or unusual

 

D.  What is the amount of time below which only 5 percent of all A students spend studying 

 

*Please do not solve using Microsoft Excel.  My professor is not teaching using excel.  I would like to see the steps involved to solving the problem for my own study reference for exams.*

check_circle

Expert Answer

Step 1

Let X be the random variable that represents the amount of time devoted by each student to study statistics. It is given that X follows normal distribution with mean = 7.5 hours and standard deviation = 2.1 hours.

It is required to find the value of x1 for P(X < x1) = 0.05

Step 2

The value of x1 can be calculated as follows:

fullscreen
Step 3

In the standard normal table, the z-value corresp...

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

Related Statistics Q&A

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

Q: Discuss the differences between probability and nonprobability sampling. What are their comparative ...

A: The differences has been shown in the table

question_answer

Q: Sulfur compounds cause "off‑odors" in wine, so winemakers want to know the odor threshold, the lowes...

A: Given data set is,30, 30, 42, 35, 22, 33, 31, 29, 19, 23Sample size (n) = 10

question_answer

Q: The weight of a type of dog follows Normal distribution with mean of 10 pounds and standard deviatio...

A: Introduction:Denote X as the weight (pounds) of a randomly selected dog of the type.Here, μ = 10, σ ...

question_answer

Q: please show TI 84 steps

A: The margin of error can be calculated for the proportion by using the formula: 

question_answer

Q: a committe of 4 is to be selected from 6 men and 5 women. 1 particular man and 1 particular woman re...

A: From the given information, there are 6 men and 5 women. That is, the total number of persons is 11(...

question_answer

Q: Bob Nale is the owner of Nale’s Quick Fill. Bob would like to estimate the mean number of gallons of...

A: Given:X: number of gallons of gasoline sold to customers.

question_answer

Q: Today, the waves are crashing onto the beach every 5.8 seconds. The times from when a person arrives...

A: The probability density function (PDF) of the uniformly distributed random variable with parameters ...

question_answer

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those sc...

A: From the given data, mean (μ) =100 and standard deviation (σ) =15And x=96 from the given graph

question_answer

Q: Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past se...

A: It is given that women athletes have a long term graduation rate is 67% and the level of significanc...