Question
Asked Oct 16, 2019
112 views

Scores on a statistics final in a large class were normally distributed with a mean of 70 and a standard deviation of 7. Find the following probabilities, round to the fourth.
a) What is the probability one randomly chosen score is greater than 88

Would it be unusual for this to happen?
Select an answer not unusual unusual  
b) What proportion of scores were below a 45? 
Would it be unusual for this to happen?
Select an answer unusual not unusual  

check_circle

Expert Answer

Step 1

a) According to the provided information, it is given µ = 70 and σ = 7

The probability that one...

help_outline

Image Transcriptionclose

88-70 X- P(X> 88) P 7 P(Z> 2.57) (Use the standard normal table) =0.0051 Since, probability (0.0051) of getting a score greater than 88 is less than 0.05 level of significance. It can be concluded that getting a score greater than 88 is unusual.

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: Use the following probabilities to answer the question. Round to 4 decimal places P(A) 0.44, P(B) 0....

A: It is given thatThe conditional probability of B given A can be calculated as follows.

question_answer

Q: Christina, a restaurant manager, would like to make the claim that the average number of customers t...

A: Christina reject or fail to reject the null hypothesis is obtained below:From the information, the a...

question_answer

Q: Suppose the average monthly welfare (TANF) payment is $376 and the standard deviation is $40. Using...

A: 1.Chebyshev's rule:Rule 1: If k = 2, at least 75% of the data lie within 2 standard deviations to ei...

question_answer

Q: Below, n is the sample size, p is the population proportion and p is the sample proportion. Use the ...

A: Introduction:According to the Central Limit Theorem, if the sampling distribution of the sample prop...

question_answer

Q: Part A. Please show step by step for TI 84

A: It is provided that

question_answer

Q: A researcher is interested in testing the popular belief that herbal remedies like Ginko Biloba and ...

A: It is given that the sample mean, x-bar is 54, sample size, n is 16, population mean (mu) is 50, and...

question_answer

Q: Statistics students in Oxnard College sampled 9 textbooks in the Condor bookstore and recorded the n...

A: The linear model obtained using scatter diagram is given below:The line that best fits the data is l...

question_answer

Q: Slippery Elum is a baseball pitcher who uses three pitches, 60% fastballs, 20% curveballs, and the r...

A: Given Data3 pitches60% fastball20% curve ball20% spitballWhen slipper pitches a ball then probabilit...

question_answer

Q: Linearize the graph of the data.  USe the Range (m) on the y axis and Gravity (m/s^2) on the x axis....

A: The observation can be linearize using scatter plot.The procedure to draw scatterplot with least-squ...