Question

The average credit card debt for college seniors is $3120. The debt is normally distributed with...

The average credit card debt for college seniors is $3120. The debt is normally distributed with standard deviation of $1100. Find P35.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Solution :

Using standard normal table,

P(Z < z) = 35%

P(Z < -0.39) = 0.35

z = -0.39

Using z-score formula,

x = z * \sigma + \mu

x = -0.39 * 1100 + 3120 = 2691

P35 = 2691

Add a comment
Know the answer?
Add Answer to:
The average credit card debt for college seniors is $3120. The debt is normally distributed with...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • The average credit card debt for college seniors is $3262. If the debt is normally distributed...

    The average credit card debt for college seniors is $3262. If the debt is normally distributed with a standard deviation of $1100, find these probabilities. a) The senior owes less than $1000. b) The senior owes more than $4000. c) The senior owes between $3000 and $4000 d) The senior owes less than $1000 or more than $4000 e) The senior owes exactly $2500 f) What is the minimum amount a senior needs to owe to be considered a senior...

  • Problem 1: The credit card debt for college seniors has a normal distribution with a mean...

    Problem 1: The credit card debt for college seniors has a normal distribution with a mean of $3262 and a standard deviation of $1100. Consider credit card debt of a random sample of 16 college seniors. What is the distribution of mean credit card debt of 16 sampled college seniors? Provide name, mean and standard deviation of the distribution. Problem 2: The following figure shows the distribution of a population. 0.10 0.0 0.06 0.04 0.02 0.00 (a) What is the...

  • 2. It has been reported that the average credit card debt for college series is $...

    2. It has been reported that the average credit card debt for college series is $ 3260. The student serate at a large university feels that their, their seniors have a debt. much less than this : So it conducts a study of 47 randomly selected seniors and finds that therardoint sample has an average debt of $ 2995, with a headpoby deviation of $1100. Is the student Schinto correct Use a 001 (Murst State Ho, Ho, the Rejection Region,...

  • According to a study completed by Nellie Mae in 2005, the average credit card debt of...

    According to a study completed by Nellie Mae in 2005, the average credit card debt of a graduating college student is normally distributed with a mean of $2000. Given the standard deviation is $400, what is the probability that a random sample of 4 graduating student will have a debt between $1800 and $2200? Question 3 options: a) 0.95 b) 0.38 c) 0.68 d) 0.99

  • Assume the credit card balances of younger college educated employed persons are normally distributed with a...

    Assume the credit card balances of younger college educated employed persons are normally distributed with a mean of $ 6,358 and a standard deviation of $1,907 – assume these are population values. 2. Now you randomly select 81 credit card holders. What is the probability that their mean credit card balance is less than $5750? Use the standard normal table for this, but this time use the population mean and standard error (standard deviation/SQRT(81)). Use 4 significant decimal places for...

  • According to a lending​ institution, students graduating from college have an average credit card debt of...

    According to a lending​ institution, students graduating from college have an average credit card debt of ​$4100. A random sample of 40 graduating seniors was​ selected, and their average credit card debt was found to be ​$4428. Assume the standard deviation for student credit card debt is ​$1,300. Using alphaαequals=0.01​, complete parts a through c. ​a) Does this sample provide enough evidence to challenge the findings by the lending​ institution? Determine the null and alternative hypotheses. Upper H 0H0​: muμ...

  • A credit card company claims that the mean credit card debt for individuals is greater than...

    A credit card company claims that the mean credit card debt for individuals is greater than $ 5,000. You want to test this claim. You find that a random sample of 34 cardholders has a mean credit card balance of $ 5,228 and a standard deviation of $ 550. At alpha equals 0.10​, can you support the​ claim? Complete parts​ (b) through​ (e) below. Assume the population is normally distributed. ​(b) Find the critical​ value(s) and identify the rejection​ region(s)....

  • A bank auditor claims that credit card balances are normally distributed with mean $3000 and standard...

    A bank auditor claims that credit card balances are normally distributed with mean $3000 and standard deviation $500. Suppose the auditor randomly select two card holders What is the probability both of them have card balances more than 2500?

  • High school seniors' SAT scores are normally distributed with μ = 1050 and σ = 100

    2.) High school seniors' SAT scores are normally distributed with μ = 1050 and σ = 100. If a student is selected at random, find the probability that her SAT score is: a.) above 1200 b.) below 890 c.) between 1000 and 1100 d.) What SAT score separates the smartest 4% of students? e). If 18 seniors are selected, find the probability that their mean SAT score is above 1150 3.) A survey of 200 college students revealed that 160 of them eat dessert...

  • MUST use the NORM.DIST() or NORM.INVO) Normal Distribution functions in Excel. Provide your final answer rounded...

    MUST use the NORM.DIST() or NORM.INVO) Normal Distribution functions in Excel. Provide your final answer rounded to 4 decimal places in the yellow highlight cell. Problem (i): The average credit card debt for college seniors is $3262. The debt has a normal distribution with a standard deviation of $1100. (4 points) a) What is the probability that a randomly selected college senior owes more than $4000? b) What is the probability that a randomly selected college senior owes between $4000...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT