Question

A random sample of 16 students selected from the student body of a large university had...

A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal.  At 95% confidence, it can be concluded that the mean age is

a.

significantly different from 24
b.

not significantly different from 24
c.

significantly more than 24
d.

significantly less than 24
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

H0: = 24

Ha: > 24

Test statistics

t = - / S / sqrt(n)

= 25 - 24 / 2 / sqrt(16)

= 2

This is test statistics value

Critical value at 0.05 level with 15 df = 1.753

Since test statistics > 1.753, we have sufficient evidence to reject H0.

We conclude that we have sufficient evidence to support the claim that mean age is

significantly more than 24

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
A random sample of 16 students selected from the student body of a large university had...
A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is less than equal to or greater than 24. Assume the distribution of the population of ages is normal. Using α = .05, it can be concluded that the population mean age is not different than...
A random sample of 16 students selected from the student body of a large university had...
A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to use hypothesis testing to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal. The value of the test statistic is The p-value is between a. .01 and .02 b. .02...
A random sample of 16 students selected from the student body of a large university had...
A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years. We want to determine if the average age of all the students at the university is significantly more than 24. Assume the distribution of the population of ages is normal. Use α = 0.01. 10. The test statistic is a. 1.96 b. 2.00 c. 1.645 d. 0.05 11. The critical value...
At Winchester University ( a large university) 43% of the student body belongs to an ethnic...
At Winchester University ( a large university) 43% of the student body belongs to an ethnic minority. Suppose that 25 students are selected at random; that is, each student is independent of the other students. Let the random variable X count the number of students out of 25 that belong to an ethnic minority A) State the distribution of the random variable given above B) Compute the probability that at most 7 of the 25 selected students belong to an...
Students in a representative sample of 65 first-year students selected from a large university in England...
Students in a representative sample of 65 first-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 65 first-year students in this study, the mean score on the procrastination scale was 36.7 and the standard deviation was 6.49. (a)...
At a local university, a sample of 49 evening students was selected in order to determine...
At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 23 years. The population standard deviation is known to be 3.5 years. Use a 0.05 level of significance (z 0.05= -1.64 and z0.95 = 1.64). Show all four steps of the hypothesis testing. show work by steps
a local university, a sample of 49 evening students was selected in order to determine whether...
a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 23 with a standard deviation of 3.5. Determine the p-value and test these hypotheses. Let a = .05.
16. At a large university, a mathematics placement is administered to all students. Samples of 30...
16. At a large university, a mathematics placement is administered to all students. Samples of 30 female and 36 male students are randomly selected from this year's student body and their scores are recorded. The mean of the females' scores is 79.83 with standard deviation 8.80, and the mean of the males' scores is 74.69 with standard deviation 10.19. Let μ 1 be the population mean for the females and μ 2 be the population mean for the males. To...
At a large University to graduation rate for student body was reported to be 0.65 we...
At a large University to graduation rate for student body was reported to be 0.65 we want to compare the center spread and shape of the distribution of sample proportion graduate in 4 random samples of 8 students compared to the distribution for random samples of 80 students my question is what is the center of the distribution for samples of size 8? Another question is what is the center of the distribution for samples of size 80?
5. The student body of a large university consists of 60% female students. A random sample...
5. The student body of a large university consists of 60% female students. A random sample of 8 students is selected. What is the probability that among the students in the sample at least 6 are male? a. 0.0413 b. 0.0079 c. 0.0007 d. 0.0499 6. In a large class, suppose that your instructor tells you that you need to obtain a grade in the top 10% of your class to get an A on ExamX. From past experience, your...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT