Question

The per capita disposable income for residents of a U.S. city in a recent year is...

The per capita disposable income for residents of a U.S. city in a recent year is normally distributed, with a mean of about $44,000 and a standard deviation of about $2450. Use this information in Exercises 7-10.

7. Find the probability that the disposable income of a resident is more than $45,000. Is this an unusual event? Explain.

8. Out of 800 residents, about how many would you expect to have a disposable income of between $40,000 and $42,000?

9. Between what two values does the middle 60% of disposable incomes lie?

10. Random samples of size 8 are drawn from the population and the mean of each sample is determined. Is the sampling distribution of sample means normally distributed? Explain.

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

μΞ 44,000 24 50 군〉 45000-44000 24 50 P Cx 45000) o3401 ,thaの0.05 unus 0. 3409b6-S p( $40,000 나사42.00c ) p (40000 46000 2Z2 4 ooo-44,000 2 450 P 63 O.20b 0. 0516 O1545 40,000 L x L 42,000〉 0.154 S Now のク800 ec 12324 0 middle 65% data 02 teb e-ftueen a aa each side o.4%. 2450 a- 44000 wsing 군table 2450 a44000 245ox 842 4193-4193 Total orea 2450 らー4400 24 50 C 24 50 b = 4순000-to-842 x24 50 46 062 .9 $46062.9 e Comes Lie се 41937-1 f and f46062-9 eeの Since pulation bample alsom e刀 approximate Normally dǐshdutdevenfuL even ^os a Small5am ple

Add a comment
Know the answer?
Add Answer to:
The per capita disposable income for residents of a U.S. city in a recent year is...
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
  • 2.) In a recent year, Delaware had the highest per capita annual income with an average...

    2.) In a recent year, Delaware had the highest per capita annual income with an average of $51,800 and Annual per capita income is normally distributed in Delaware. $1850. (a) If a resident is randomly selected, what is the probability that their income is less than $50,000? Let X be the salary of a randomly selected Delaware resident. Write an inequality that represents the scenario described in (a). DIX< 50.000)=0.3553 Properly shade the bell, set-up, and solve the problem. m=51,800...

  • In a recent year, Delaware had the highest per capita annual income with $51,803. If standard...

    In a recent year, Delaware had the highest per capita annual income with $51,803. If standard deviation= $4850, what is the probability that a random sample of 36 state residents had a mean income greater than $50,100

  • In a study of monthly salary distribution of residents in Paris conducted in year 2015, it...

    In a study of monthly salary distribution of residents in Paris conducted in year 2015, it was found that the salaries had an average of €2200 (EURO) and a standard deviation of €550. Assume that the salaries were normally distributed. Question 1: Consider sampling with sample size 64 on the above population. Compute the mean of the ̅ sampling distribution of the mean (?). Question 2: Compute the standard deviation of the sampling distribution of the mean in Question 1...

  • Annual income: The mean annual income for people in a certain city in thousands of dollars)...

    Annual income: The mean annual income for people in a certain city in thousands of dollars) is 41, with a standard deviation of 35. A pollster draws a sample of 91 people to interview. Part 1 of 5 (a) What is the probability that the sample mean income is less than 37? Round the answer to at least four decimal places. The probability that the sample mean income is less than 37 is Part 2 of 5 (b) What is...

  • Question 1 The following data represent the number of days absent per year in a population...

    Question 1 The following data represent the number of days absent per year in a population of four employees of a small company: 1 3 6 7    Assuming that you sample without replacement, select all possible samples of n = 2 and construct the sampling distribution of the mean. Compare the mean of all the samples means and also compute the population mean. Are they equal? What is the property called? Repeat (a) for all the sampling distribution of the...

  • 5.4.1 Question Help A population has a mean = 141 and a standard deviation o =...

    5.4.1 Question Help A population has a mean = 141 and a standard deviation o = 28. Find the mean and standard deviation of the sampling distribution of sample means with sample size n = 40. The mean is :-), and the standard deviation is 0;=0 (Round to three decimal places as needed.) 5.4.2 Question Help A population has a meanu - 74 and a standard deviation = 8. Find the mean and standard deviation of a sampling distribution of...

  • Suppose 5% of students are veterans and 149 students are involved in sports. How unusual would...

    Suppose 5% of students are veterans and 149 students are involved in sports. How unusual would it be to have no more than 20 veterans involved in sports? (20 veterans is about 13.4228%) When working with samples of size 149, what is the mean of the sampling distribution for the proportion of veterans? 0.01785 Х When working with samples of size 149, what is the standard error of the sampling distribution for the proportion of veterans? Compute PCÔ < 0.134228)....

  • 19% Bookmarks Window Help- rl File Edit View History www.awn.connectmath.com McGr Stadents NSu Merew-HCnpus-...

    19% Bookmarks Window Help- rl File Edit View History www.awn.connectmath.com McGr Stadents NSu Merew-HCnpus-Summer 2019 9 Part 3 of 5 (c) Find the 40th percentile of the sample mean. Round the answer to at least two decimal places. The 40th percentile of the sample mean is $ Part 4 of 5 (d) Would it be unusual if the sample mean were less than $7700? Round answer to at least four decimal places. It (Choose one) unusual because the probability of...

  • A Waist is a Terrible Thing to Mind: The waist circumference of males 20 to 29...

    A Waist is a Terrible Thing to Mind: The waist circumference of males 20 to 29 years ele is approximately normally distributed, with mean 92.5 cm and standard deviation 13.5 Source: M.A. McDowell. CD. Fryar.R. Hirs for Children and Adults: U.S. Population. 1999-2002. Advance data from vital and health statistics: No. 361. Hyattsville, MD: National Center for Health Statistics, 2005. d CL. Ogden, Anthropometric Reference Data 5. Draw a normal curve with the parameters labeled. 92.5 What proportion of 20-...

  • 7. The data table below provides the same line item data from state budgets in North...

    7. The data table below provides the same line item data from state budgets in North Dakota; however, now the data has been adjusted for inflation. All of the data is given in terms of 2003 dollars. Calculate the inflation adjusted per capita expenditure (amount paid per state resident in terms of 2003 dollars) for each of the three given line items (higher education, transportation, and total budget) both in 2003 and again in 2014. Record your answers in the...

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