Question

In a study made in a city, which the citizens work for themselves, the hours a...

In a study made in a city, which the citizens work for themselves, the hours a week they work are observed. It was found that the average time is u= 45 hours and the Standard Deviation = 7.5 hours.
If the distribution of these times is normal aprox. , answer these questions:

1. What percentage of these citizens are dedicated to working more than 60 hours a week?
2. What percentage of these citizens are dedicated to working less than 30 hours a week?
3. What is the probability that a randomly selected citizen dedicates more than 37.5 hours a week to working?

please show all steps!

Homework Answers

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
Maintaining a healthy work and life balance is not only important for health and relationship, but...
Maintaining a healthy work and life balance is not only important for health and relationship, but it also improves employee productivity. A study is conducted to examine the amount of time that university lecturers spend on their jobs. The amount of time that university lecturers devote to their jobs per week is normally distributed, with a mean of 54 hours and a standard deviation of 7 hours. What is the probability that one randomly selected lecturer works for more than...
A city wants to know if a new advertising campaign to make citizens aware of the...
A city wants to know if a new advertising campaign to make citizens aware of the dangers of driving after drinking has been effective. They count the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the week before and the week a month after the campaign starts. Let Di be the difference between the number of drivers caught with excessive alcohol in their systems...
In a 2003 study, the Accreditation Council for Graduate Medical Education found that medical residents’ mean...
In a 2003 study, the Accreditation Council for Graduate Medical Education found that medical residents’ mean number of hours worked in a week is μ = 81 hours. Suppose the number of hours per week by medical residents is approximately normally distributed with a standard deviation of σ = 6.9 hours. What is the probability that a randomly selected medical resident works less than 70 hours in a week? What is the probability that a randomly selected medical resident works...
A study of coffee consumption in a large city found that the price of a standard...
A study of coffee consumption in a large city found that the price of a standard cappuccino varied at cafes across the city according to a normal distribution with a mean of $3.58 and a standard deviation of 20 cents per cup. (1 mark) What is the probability that a randomly selected cafe in the city charged less than $3.84 per cup? (4dp) What is the probability that a randomly selected cafe in the city charged more than $3.55 per...
A study of petrol prices in a large city on April 1st, 2017 found that the...
A study of petrol prices in a large city on April 1st, 2017 found that the price of E10 varied at garages across the city according to a normal distribution with a mean of $1.45 per litre and a standard deviation of 10 cents per litre. (1 mark) What is the probability that a randomly selected garage in the city charged less than $1.63 per litre? (4dp) What is the probability that a randomly selected garage in the city charged...
The distribution of hours of sleep per week night, among college students, is found to be...
The distribution of hours of sleep per week night, among college students, is found to be Normally distributed, with a mean of 7.5 hours and a standard deviation of 0.75 hours (or 45 minutes). Use this information and the 68– 95– 99.7 rule to answer the following questions. A) Draw the distribution, show where the mean is and show on the x-axis the points that correspond to one and two standard deviations from the mean B) What range contains the...
Do students study less than 150 minutes (2.5 hours), on average, each week? A survey of...
Do students study less than 150 minutes (2.5 hours), on average, each week? A survey of 51 randomly selected students finds that on average students study 138 minutes per night with a standard deviation of 32 minutes. A hypothesis test based on this data produces a test statistic of -2.68 and a p-value of 0.005. What are the appropriate decision and conclusion at the 5% significance level? Select one or more: Reject the null hypothesis. Do not reject the null...
A researcher randomly selected a sample of n = 1000 city residents. Participants were asked to...
A researcher randomly selected a sample of n = 1000 city residents. Participants were asked to complete a short online survey that include question about an average number of work hours per week and an average number of leisure hours per week. .What kind of correlation is likely to be obtained for these two variables (i.e., average number of hours spent at work and on leisure activities)? A. a negative correlation B. a positive correlation C. a correlation larger than...
An economics professor is interested in seeing if the mean hours worked by students in a...
An economics professor is interested in seeing if the mean hours worked by students in a week at part time or full time jobs (including work study) is greater than 10. To accomplish this, the professor randomly selected 240 students from the university. It was found that the distribution was right skewed and unimodal. The mean was 8 hours with a standard deviation of 4. The professor then did a hypothesis test. Please find the test statistic for this hypothesis...
Suppose college students average 7.3 hours of sleep per night with a standard deviation of 45...
Suppose college students average 7.3 hours of sleep per night with a standard deviation of 45 minutes, and suppose that this is normally-distributed. What is the probability that a randomly-selected college student sleeps for more than 8.1 hours? Probability = What is the 60th percentile for college-student sleep times? Round your answer to four decimal places. 60th percentile = hours