Math

StatisticsQ&A LibraryShow the working please:The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score of the test was 435 and the standard deviation was 72. Assume that the scores are normally distributed.a. If the board wants to set the passing score so that only the best 30% of all applicants pass, what is the passing score?b. What are the minimum and maximum scores of the middle 75% of persons that take the exam?Question

Asked Nov 24, 2019

37 views

Show the working please:

The board of examiners that administers the real estate broker’s examination in a certain state found that the mean score of the test was 435 and the standard deviation was 72. Assume that the scores are normally distributed.

a. If the board wants to set the passing score so that only the best 30% of all applicants pass, what is the passing score?

b. What are the minimum and maximum scores of the middle 75% of persons that take the exam?

1 Rating

Step 1

Let *X *be the random variable that represents the scores .It is given that *X *follows normal distribution with mean = 435 and standard deviation = 72.

(a)

It is required to find the value of x_{1} and *P*(X > x_{1}) = 0.30.

The value of x_{1} can be calculated as follows

Step 2

In the standard normal table, the *z*-value corresponding to the probability 0.70 is +0.524. Thus,

Step 3

So, the passing scores in examina...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: how do we interpret a significant one way chi square?

A: Rejection rule using p-value:

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with ...

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: Suppose that you are looking for a student at your college who lives within five miles of you. You k...

A: It is given that 51% of students live within 5 miles. Therefore, probability of getting a student wh...

Q: assume that a 955 confidence interval for the mean is 10.5 < μ < 15.0. the null hypothesis H0 ...

A: If the hypothesized value lies in the interval, then do not reject the null hypothesis.If the hypoth...

Q: The amount of pollutants that are found in waterways near large cities is normally distributed with ...

A: It is given that the amount of pollutants follows normal distribution with mean 8.6 and standard dev...

Q: The following table shows the results of a two-factor analysis of variance with 2 levels of factor A...

A: Total number of observations = 3×2×5 = 30.Total degrees of freedom = 30-1 = 29.There are two levels ...

Q: .

A: It is given that 800 out of 1,000 students use Facebook during class.The sample proportion is 800/1,...

Q: Could you do question 1, a b and c?

A: Sample space: In probability theory, the sample space of a random experiments is set of all ...

Q: Question 2 in image

A: The formula for finding average is shown below: