Question

Your parents are always complaining that you do not do enough housework. They say that you...

Your parents are always complaining that you do not do enough housework. They say that you should be helping them out because you are only a student and you have a lot more spare time than them.

The number of hours per week that your parents work has a mean of 49.24 hours and a standard deviation of 2.84 hours. You believe that the number of hours per week that you have to study for university has a mean of 49.26 hours and a standard deviation of 2.05 hours.

You plan to record the number of hours that you study each week over 17 randomly selected weeks throughout the year. Calculate the probability that the mean of your sample is greater than the mean number of hours per week worked by your parents. Assume that the population of study hours per week is normally distributed. Give your answer as a decimal to 4 decimal places.

Homework Answers

Answer #1

The number of hours per week that your parents work has a mean of 49.24 hours and a standard deviation of 2.84 hours.

The distribution of the sample mean (according to CLT) is .

The number of hours per week that you have to study for university has a mean of 49.26 hours and a standard deviation of 2.05 hours

. The distribution of the sample mean is .

Now,

The probability that the mean of your sample is greater than the mean number of hours per week worked by your parents is

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
Do women tend to spend more time on housework than​ men? If​ so, how much​ more?...
Do women tend to spend more time on housework than​ men? If​ so, how much​ more? A study reported the results shown in the table to the right for the number of hours spent on housework per week. Complete parts a through d below. Housework Hours   Gender Sample Size Mean Standard Deviation Women 474 30.5 13.7 Men 493 15.0 12.6 A. Based on this​ study, calculate how many more hours per​ week, on the​ average, women spend on housework than...
Do male and female servers work the same number of hours? A sample of 19 female...
Do male and female servers work the same number of hours? A sample of 19 female servers worked an average of 36 hours per week, with a standard deviation of 2. A sample of 27 male servers worked an average of 40 hours per week, with a standard deviation of 5. Let μ1 and μ2 represent the typical number of hours worked by all female and male servers, respectively. Construct a 99% confidence interval for μ1−μ2, assuming normal populations with...
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...
Do male and female servers at Swank Bar work the same number of hours? A sample...
Do male and female servers at Swank Bar work the same number of hours? A sample of 45 female servers worked an average of 28 hours per week, with a standard deviation of 2. A sample of 45 male servers worked an average of 26 hours per week, with a standard deviation of 3. Let μ1and μ2 represent the typical number of hours worked by all female and male servers at Swank Bar, respectively. Estimate with a 86% confidence level...
You have been assigned to test the hypothesis that the average number of hours per week...
You have been assigned to test the hypothesis that the average number of hours per week that an American works is higher than the average number of hours per week that a Swede works. The following data summarizes the sample statistics for the number of hours worked per week for workers in each country. Assume that the population variances are unequal. American Swede Sample mean 32.7 hours 28.2 hours Sample size 15 12 Sample standard deviation 5.1 hours 6.0 hours...
6.1 question 18 How much do you study? A survey among freshmen at a certain university...
6.1 question 18 How much do you study? A survey among freshmen at a certain university revealed that the number of hours spent studying the week before final exams was normally distributed with mean 27 and standard deviation 7. Use the TI-84 PLUS calculator to answer the following. Round the answer to at least four decimal places. (a) What proportion of students studied more than 38 hours? (b) What is the probability that a randomly selected student spent between 15...
You are asked to do a study of shelters for abused and battered women to determine...
You are asked to do a study of shelters for abused and battered women to determine the necessary capacity I your city to provide housing for most of these women. After recording data for a whole year, you find that the mean number of women in shelters each night is 250 , with a standard deviation of 75 . Fortunately, the distribution of the number of women in the shelters each night is normal, so you can answer the following...
A survey in a large class for first-year college students asked, "About how many hours do...
A survey in a large class for first-year college students asked, "About how many hours do you study during a typical week?" The mean response of the 461 students was x = 15.3 hours. Suppose that we know that the study time follows a Normal distribution with standard deviation σ = 8.5 hours for all first-year students at this university. Does the survey results provide evidence (at the 0.05 level) of students claiming to study more than 15 hours per...
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to...
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of more than 20 hours each week. A random sample of 34 students were asked to keep a diary of their activities over a period of several weeks. It was found that the average number of hours that the 34 students studied each week was 21.5 hours....
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to...
Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 32 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 32 students studied each week was 19.1 hours....