Question

In: Statistics and Probability

You are interested in whether students that have a male instructors perform differently on "e"s. To...

You are interested in whether students that have a male instructors perform differently on "e"s. To investigate this, you gather a sample of 5 students that have a male instructor and compare their "e"s average to the average of all instructors.

he data are below:

Male Instructors

All Instructors

x ̅=74.5

µ=76.8

s = 7.62

State your null and alternative hypothesis

Null: there is no difference (µ=76.8)

Null: There is difference (µ≠76.8)

Alternative: There is no difference (µ=76.8)

Alternative: There is difference (µ≠76.8)

Draw your sampling distribution and establish the rejection region. What is your critical t-value when alpha is set at a=.05 (hint: you need to use the t-table)

+/- 3.747

+/- 2.776

- 2.132

+ 2.132

Compute your t statistic (hint: need to use the new formula for one-sample t-s)

A: -0.20

B: -0.67

C: -1.49

D: 0.67

Do you reject or fail to reject your null hypothesis?​​​​​​​

A: There is no significant differences between performance on "e" regardless of the sex of the instructor.

B: There is a significant difference between performance on "e" demonstrating that sex of the instructor contributes to this difference.

Solutions

Expert Solution


Related Solutions

Two college instructors are interested in whether or not there is any variation in the way...
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 12 exams. The first instructor's grades have a variance of 52.3. The second instructor's grades have a variance of 89.9. Test the claim that the first instructor's variance is smaller. The level of significance is 5%.
Two college instructors are interested in whether or not there is any variation in the way...
Two college instructors are interested in whether or not there is any variation in the way they grade math exams. They each grade the same set of 12 exams. The first instructor's grades have a variance of 52.3. The second instructor's grades have a variance of 89.9. Test the claim that the first instructor's variance is smaller. The level of significance is 5%.
Do online students perform differently than students in a traditional classroom? Last semester there were 100...
Do online students perform differently than students in a traditional classroom? Last semester there were 100 students registered for the online version of a statistics course, and 100 students registered for the traditional classroom. All students took the same final exam. Suppose the group of online students had a mean exam score of 75 with a standard deviation of 3. The classroom students had a mean score of 76 with a standard deviation of 4. Does the sample data provide...
College students may be interested in whether or not their majors have any effect on starting...
College students may be interested in whether or not their majors have any effect on starting salaries after graduation. Suppose that 295 recent graduates were surveyed as to their majors in college and their starting salaries after graduation. Below are the data. Conduct a test of independence. (Use a significance level of 0.05.) Major < $50,000 $50,000 - $68,999 $69,000 + English 4 20 6 Engineering 9 29 59 Nursing 10 16 14 Business 11 19 30 Psychology 20 29...
"You are interested in determining whether there is a relationship between the grade level of students...
"You are interested in determining whether there is a relationship between the grade level of students at Big Rock School District and their primary color preference for a new school football uniform. A sample of students (grades 8, 9, 12) is asked which color (black, blue, gold) they would prefer for a new school football uniform. Assuming the .05 level of significance, what would you conclude?" 8th grade mean 13.0, 9th grade mean: 12.6, 12th grade mean: 8.0. There is...
5. A professor theorizes that science students perform differently on multiple choice tests than on essay...
5. A professor theorizes that science students perform differently on multiple choice tests than on essay tests. The professor recruited 6 science students and had them take both types of test. Their test scores were recorded. The data are given in the following table. Based on the data, can you support the professor’s theory? Perform an appropriate test at α = 0.01. Student 1 2 3 4 5 6 Multiple choice 8 7 9 4 6 5 Essay 5 8...
5. A professor theorizes that science students perform differently on multiple choice tests than on essay...
5. A professor theorizes that science students perform differently on multiple choice tests than on essay tests. The professor recruited 6 science students and had them take both types of test. Their test scores were recorded. The data are given in the following table. Based on the data, can you support the professor’s theory? Perform an appropriate test at α = 0.01. Student 1 2 3 4 5 6 Multiple choice 8 7 9 4 6 5 Essay 5 8...
Suppose a simple random sample of 26 male students is asked whether they have pulled an...
Suppose a simple random sample of 26 male students is asked whether they have pulled an "all-nighter " for academic reasons and 10 answered "yes." Suppose a simple random sample of 25 female students is asked whether they have pulled an "all-nighter" for academic reasons and 8 answered "yes." Is there insufficient evidence based on the sample to reject the claim that male and female students are equally likely to have pulled an "all-nighter" for academic reasons?
Suppose a simple random sample of 26 male students is asked whether they have pulled an...
Suppose a simple random sample of 26 male students is asked whether they have pulled an "all-nighter " for academic reasons and 10 answered "yes." Suppose a simple random sample of 25 female students is asked whether they have pulled an "all-nighter" for academic reasons and 8 answered "yes." Is there insufficient evidence based on the sample to reject the claim that male and female students are equally likely to have pulled an "all-nighter" for academic reasons?
A graduate student in the School of Education is interested in whether families of students in...
A graduate student in the School of Education is interested in whether families of students in the Chicago Public Schools are for or against the new legislation proposing school uniform requirements. She surveys 600 students and finds that 480 are against the new legislation. Compute a 90 and 98 percent confidence interval for the true proportion who are for the new legislation.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT