The average price of a college math textbook is $174 and the standard deviation is $23. Suppose that 44 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)For the group of 44, find the probability that the average price is between $172 and $174. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)

Question
Asked Nov 15, 2019
1 views

The average price of a college math textbook is $174 and the standard deviation is $23. Suppose that 44 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

  1. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
  2. For the group of 44, find the probability that the average price is between $172 and $174. 
  3. Find the first quartile for the average textbook price for this sample size. $ (round to the nearest cent)
check_circle

Expert Answer

Step 1

1.

In this context, it is given that the average price of a college math textbook is $174 corresponding to its standard deviation of $23.

Denote X as the speed for a randomly selected car.

For a random sample of 44, X follows normal with mean of the sampling distribution value of $174 and standard deviation of $3.46. That is X~N(174, 23/SQRT(44)).

Step 2

2.

The probability that the average price betw...

P(xS174) P( <174)-P( <172)
174 174
172-174
2
3.46
3.46
-(z<0)-P(zs-0.578)
using EXCEL formula
"=NORM.S.DIST(0,TRUE)"
0.5-0.2810
"=NORM.S.DIST(0.58,TRUE)"
0.2190
help_outline

Image Transcriptionclose

P(xS174) P( <174)-P( <172) 174 174 172-174 2 3.46 3.46 -(z<0)-P(zs-0.578) using EXCEL formula "=NORM.S.DIST(0,TRUE)" 0.5-0.2810 "=NORM.S.DIST(0.58,TRUE)" 0.2190

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

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Explain the difference, in your own words, between a null hypothesis and the alternative hypothesis....

A: Hypothesis:Hypothesis is an assumption about the parameter of the population which will be made on t...

question_answer

Q: I'm having a hard time solving part (b) correctly. I'm using the formula s = sqrt [ Σ ( xi – x_bar )...

A: According to the provided information,

question_answer

Q: Test the claim that the proportion of men who own cats is smaller than the proportion of women who o...

A: Consider M represents the cats owned by men and F represents the cats owned by women.The hypothesis ...

question_answer

Q: 15L

A: According to the provided question, suppose 3 block towers are made which is 3 block tall, 6 block t...

question_answer

Q: We take a random sample of 16 scores from a Math Exam and the sample mean is 80 (the population scor...

A: Sample mean =80.Sample standard deviation, s =15.The sample size, n is 16.

question_answer

Q: How do find the answer on paper and the TI84

A: The predicted value for the final exam score of a student who studies 4.5 hours per week is,

question_answer

Q: Please show me how to do this equation

A: Solution: We are given that a machine has 9 identical components which functions independently.The p...

question_answer

Q: The 93 million Americans of age 50 and over control 50  percent of all discretionary income. AARP es...

A: Margin of error (E):The margin of error for sample mean is given by,

question_answer

Q: The percent of fat calories that a person in America consumes each day is normally distributed with ...

A: It is mentioned that the percent of fat calories of a person in America consumes each day is normall...