Question

In: Statistics and Probability

The average age of students at INTI International University is known to be 22.5 years old....

The average age of students at INTI International University is known to be 22.5 years old. Assume the population is normally distributed with a standard deviation of 5 years. Find the probability that the mean age of a sample of 64 students is between 20.9 and 23.8 years old.

Solutions

Expert Solution

thank you.


Related Solutions

It is known that the average age of someone in the NFL is 26.2 years old....
It is known that the average age of someone in the NFL is 26.2 years old. Suppose we take a sample of 15 athletes and find that the average age is 26.8 years old with a sample standard deviation of 3.22 years. We are interested in testing if the average age of NFL players is increasing. Using the sample of 15 players, what would the 95% confidence interval be for the population mean? What are the null and alternative hypotheses?...
The average age of students at the University of Houston – Downtown is about 28 years...
The average age of students at the University of Houston – Downtown is about 28 years old. The president of the university believes that the age of full-time students attending classes during the day is lower that the average of all students. Test this hypothesis. Be sure to show all five steps. Show your Excel file ONCE per group with all the names of your team members included. Age 14-21: 23% 22-24: 23% 25-30: 27% 31-35: 12% 36-50: 13% Over...
A random sample of 20 students at a university showed an average age of 21.4 years...
A random sample of 20 students at a university showed an average age of 21.4 years and a sample standard deviation of 2.6 years. The 98% confidence interval for the true average age of all students in the university is? Enter in the upper limit of your confidence interval
A random sample of 64 students at a university showed an average age of 20 years...
A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The 90% confidence interval for the true average age of all students in the university is 19.50 to 20.50 19.36 to 20.38 19.18 to 20.49 19.02 to 20.59            
The mean age of random university, College students in a previous term was 26.6 years old....
The mean age of random university, College students in a previous term was 26.6 years old. An instructor thinks the mean age for online students is older than 26.6. She randomly surveys 60 online students and finds that the sample mean is 29.6 with a standard deviation of 2.1. Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general,...
The university finance department wants to know if the average age of students at their university...
The university finance department wants to know if the average age of students at their university is greater than the average for other universities. A random sample of student records is taken from the own university (population 1) and a random selection of student ages from other three universities are taken (population 2). A significance level of 0.05 is chosen. The null and alternative hypotheses are: ?0: ??: The samples are selected, and the results are: ?1 = 28,7 ?????   ?1...
The instructor claims that the average age of his students is 30 years old. To test...
The instructor claims that the average age of his students is 30 years old. To test this claim a sample of 33 students is taken. At an alpha level of .05 is there enough evidence to support this instructors claim? Sample ages: 32,28,24,18,35,41,27,28,28,31,27,25,28,31,35,40,36,32,29,28,19,21,26,24,21,19,27,26,23,27,30,20,21 Please list null and alternate hypothesis, critical value, test value, and all steps towards rejecting or accepting the null hypothesis.
7. A group of university students are interested in comparing the average age of cars owned...
7. A group of university students are interested in comparing the average age of cars owned by students and the average age of cars owned by faculty. They randomly selected 25 cars that are own by students and 20 cars that are owned by faculty. The average age and standard deviation obtained from the students’ cars are 6.78 years and 5.21 years, respectively. The sample of faculty cars produced a mean and a standard deviation of 5.86 years, and 2.72....
The president of a University wishes to find the average age of students presently enrolled. From...
The president of a University wishes to find the average age of students presently enrolled. From past studies, the standard deviation is known to be 2 years. A random sample of 50 students is selected and the mean is found to be 23.2 years. A. Find the 95% confidence interval for the population mean. B. Find the 99% confidence interval for the population mean?
The average retirement age in America is 64 years old. Do small business owners retire at a different average age?
  The average retirement age in America is 64 years old. Do small business owners retire at a different average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 57, 65, 50, 57, 65, 63, 63, 59, 54, 66, 53, 51, 68 What can be concluded at the αα = 0.01 level of significance? For this study, we should use:  t-test for a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT