Question

A particular automobile costs an average of $21,755 in the Pacific Northwest. The standard deviation of...

A particular automobile costs an average of $21,755 in the Pacific Northwest. The standard deviation of prices is $650. Suppose a random sample of 30 dealerships in Washington and Oregon is taken, and their managers are asked what they charge for this automobile. What is the probability of getting a sample average cost of less than $21,500? Assume that only 120 dealerships in the entire Pacific Northwest sell this automobile.

(Round all z values to 2 decimal places. Round all intermediate calculations and answer to 4 decimal places.)

SAYS ANSWER IS NOT .0158 !!!!!!!!!!! PLEASE HELP!

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Answer:

Probability = 0.1074

Explanation:

Since the population standard deviation is known, the z distribution is used for the sampleing distribution of the mean hence the probability is obtained by calculating the z score as shown below,

The probability is obtained from the z distribution table for Z = -1.2406

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose the average client charge per hour for out-of-court work by lawyers in the state of...
Suppose the average client charge per hour for out-of-court work by lawyers in the state of Iowa is $125. Suppose further that a random telephone sample of 32 lawyers in Iowa is taken and that the sample average charge per hour for out-of-court work is $110. If the population variance is $525 (Round the answers to 4 decimal places.) what is the probability of getting a sample mean of $110 or larger? P=   What is the probability of getting a...
A particular variety of watermelon weighs on average 21.3 pounds with a standard deviation of 1.07...
A particular variety of watermelon weighs on average 21.3 pounds with a standard deviation of 1.07 pounds. Consider the sample mean weight of 90 watermelons of this variety. Assume the individual watermelon weights are independent. a. What is the expected value of the sample mean weight? Give an exact answer. b. What is the standard deviation of the sample mean weight? Give your answer to four decimal places. c. What is the approximate probability the sample mean weight will be...
A particular variety of watermelon weighs on average 21.3 pounds with a standard deviation of 1.07...
A particular variety of watermelon weighs on average 21.3 pounds with a standard deviation of 1.07 pounds. Consider the sample mean weight of 90 watermelons of this variety. Assume the individual watermelon weights are independent. a. What is the expected value of the sample mean weight? Give an exact answer. b. What is the standard deviation of the sample mean weight? Give your answer to four decimal places. c. What is the approximate probability the sample mean weight will be...
1) Automobile Workers A worker in the automobile industry works an average of 42.9 hours per...
1) Automobile Workers A worker in the automobile industry works an average of 42.9 hours per week.  If the distribution is approximately normal with a standard deviation of 1.4 hours, what is the probability that a randomly selected automobile worker works less than 41 hours per week? Round the answer to at least four decimal places. P(X<41) Teachers' Salaries The average annual salary for all U.S. teachers is 47750. Assume that the distribution is normal and the standard deviation is 5680....
The average math SAT score is 519 with a standard deviation of 111. A particular high...
The average math SAT score is 519 with a standard deviation of 111. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school was​ selected, and the mean math SAT score was 563. Is the high school justified in its​ claim? Explain. ____because the​ z-score ​( ​) ______since ______within the range of a usual​ event, namely within __________of the mean of the sample means. ​(Round to two...
Assume that a lunch meal in SF costs about $11.2 on average, with a standard deviation...
Assume that a lunch meal in SF costs about $11.2 on average, with a standard deviation of $1.35. You went out for lunch on a given day. What is the probability that the lunch will cost you between $10.13 and $12.47?Assume the lunch prices are normally distributed. Round your answer to 4 decimal places.
The union for a particular industry has determined that the standard deviation of the daily wages...
The union for a particular industry has determined that the standard deviation of the daily wages of its workers is $16. A random sample of 60 workers in this industry has a mean daily wage of $111. Find a 99% confidence interval for the true mean daily wage of all union workers in the industry. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answer to one decimal place. What is the...
A random sample of 17 adult male wolves from the Canadian Northwest Territories gave an average...
A random sample of 17 adult male wolves from the Canadian Northwest Territories gave an average weight x1 = 97.4 pounds with estimated sample standard deviation s1 = 5.5 pounds. Another sample of 22 adult male wolves from Alaska gave an average weight x2 = 89.6 pounds with estimated sample standard deviation s2 = 6.9 pounds. Please show all steps in getting the answer. Thanks (a) Categorize the problem below according to parameter being estimated, proportion p, mean μ, difference...
Tyus Nedd found that the average cost of automobile collision repairs is $ 3000.29 with a...
Tyus Nedd found that the average cost of automobile collision repairs is $ 3000.29 with a stdev = 53.92. find the range of values in which at least 64.78% of the data will lie. ( you do not need all of the data scores). To get credit, please be accurate to 2 decimal places---do not round prior to arriving at the final answer. Hint: this is a harder version of # 34 on Page 153.
The average grade in a statistics course has been 71 with a standard deviation of 10.5....
The average grade in a statistics course has been 71 with a standard deviation of 10.5. If a random sample of 60 is selected from this population, what is the probability that the average grade is more than 75? (Round your z-value to 2 decimal places and the final answer to 4 decimal places) Probability= ________
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT