Question

The average hourly wage of workers at a fast food restaurant is $6.50/hr. Assume the wages...

  1. The average hourly wage of workers at a fast food restaurant is $6.50/hr. Assume the wages are normally distributed with a standard deviation of $0.45. If a worker at this fast food restaurant is selected at random,
  1. What is the probability that the worker earns more than $6.75?

  1. What is the probability that the worker earns between $6.50 and $6.75?

Homework Answers

Answer #1

Solution :

Given that ,

mean = = $ 6.50

standard deviation = = $ 0.45

a) P(x > 6.75 ) = 1 - P(x < 6.75 )

= 1 - P[(x - ) / < ( 6.75 - 6.50 ) / 0.45 ]

= 1 - P(z < 0.56 )

Using z table

= 1 - 0.7123

= 0.2877

b) P( 6.50 < x < 6.75 ) = P[( 6.50 - 6.50 )/ 0.45 ) < (x - ) /  < ( 6.75 - 6.50 ) / 0.45 ) ]

= P( 0.00 < z < 0.56 )

= P(z < 0.56 ) - P(z < 0.00 )

Using z table

= 0.7123 - 0.5

= 0.2123

Know the answer?
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
Similar Questions
The average hourly wage of workers at a fast food restaurant is $8.50/hr. Assume the wages...
The average hourly wage of workers at a fast food restaurant is $8.50/hr. Assume the wages are normally distributed with a standard deviation of $0.40. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns more than $9.25? Write your answer as a percentage and round to two decimal places.
The average hourly wage of workers at a fast food restaurant is $7.50/hr with a standard...
The average hourly wage of workers at a fast food restaurant is $7.50/hr with a standard deviation of $0.75. Assume that the distribution is normally distributed. If a worker at this fast food restaurant is selected at random, what is the probability that the worker earns between $7.50 and $8.25?
The hourly wage for workers in a fast food restaurant is Normally distributed with a mean...
The hourly wage for workers in a fast food restaurant is Normally distributed with a mean of $5.85 and a standard deviation of $0.35. If a worker is selected at random, find the probability that: a. (S)he earns less than $5.50 an hour b. (S)he earns between $5.90 and $6.40 an hour c. (S)he earns at least $6.00 an hour
For certain​ workers, the mean wage is $6.50​/hr, with a standard deviation of ​$0.25 If a...
For certain​ workers, the mean wage is $6.50​/hr, with a standard deviation of ​$0.25 If a worker is chosen at​ random, what is the probability that the​ worker's wage is between ​$6.25 and ​$6.75? Assume a normal distribution of wages. The probability is _____.
According to the government of Manitoba, the average hourly wages in the manufacturing sector are as...
According to the government of Manitoba, the average hourly wages in the manufacturing sector are as follows: Alberta: $22.02, Ontario: $20.18, British Columbia: $20.05. Assume that in all three provinces, the standard deviation of hourly wages is $3. Suppose 40 workers are selected randomly from across Alberta and asked what their hourly wage is. What is the probability that the sample average will be between $21 and $22? Suppose 35 manufacturing workers are selected randomly from across Ontario. What is...
A company pays its employees an average wage of $3.25/hour with a standard deviation of $0.60....
A company pays its employees an average wage of $3.25/hour with a standard deviation of $0.60. If the wages are approximately normally distributed, determine:               [5x4=20pts] …graph a normal curve in all 4 parts. The probability that randomly chosen worker has the hourly wage less than $3. the proportion of the workers getting wages between $2.75 and $3.69 an hour the minimum wage of the highest 8% of all workers. The probability that if we randomly select a sample of 40 workers,...
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in...
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in the manufacturing sector. The hourly wage was $30.67 for Switzerland, $20.20 for Japan, and $23.82 for the U.S. Assume that in all three countries, the standard deviation of hourly labor rates is $3.00. a. Suppose 42 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will be between $30.00 and...
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in...
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in the manufacturing sector. The hourly wage was $30.67 for Switzerland, $20.20 for Japan, and $23.82 for the U.S. Assume that in all three countries, the standard deviation of hourly labor rates is $3.00. a. Suppose 38 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will be between $30.00 and...
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in...
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in the manufacturing sector. The hourly wage was $30.67 for Switzerland, $20.20 for Japan, and $23.82 for the U.S. Assume that in all three countries, the standard deviation of hourly labor rates is $4.00. a. Suppose 37 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will be between $30.00 and...
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in...
The U.S. Bureau of Labor Statistics released hourly wage figures for various countries for workers in the manufacturing sector. The hourly wage was $30.67 for Switzerland, $20.20 for Japan, and $23.82 for the U.S. Assume that in all three countries, the standard deviation of hourly labor rates is $4.00. Appendix A Statistical Tables a. Suppose 42 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT