Question

A teacher is trying to assign grades so that she has the following distribution: Grade %...

A teacher is trying to assign grades so that she has the following distribution:

Grade % of Class
A 15
B 30
C 40
D 10
F 5

This is what she actually has in her grade book:

Grade # Students
A 20
B 40
C 35
D 8
E 8

At a significance level of 0.05, are these two distributions different? Include either χ^2 or the p-value to justify your answer.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Pearson chi square : Observed and Expected Counts

Category

Observed

Test
Proportion

Expected

Contribution
to Chi-Square

A

20

0.15

16.65

0.67402

B

40

0.30

33.30

1.34805

C

35

0.40

44.40

1.99009

D

8

0.10

11.10

0.86577

E

8

0.05

5.55

1.08153

We compute chi square value as 5.95946 and associated p value .202.

Since the p value is more than the nominal .05, evidence is not enough to conclude that the two distributions are significantly different.

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 statistics teacher claims that, on average, 20% of her students get a grade of A,...
A statistics teacher claims that, on average, 20% of her students get a grade of A, 35% get a B, 25% get a C, 10% get a D, and 10% get an F. The grades of a random sample of 100 are shown below. Use a = 0.05 to test the claim that the grades follow the distribution claimed by the teacher.    Grade                # of Students A                      29 B                      42 C                      20 D                        5 F                         4   
A statistics teacher claims that, on average, 20% of her students get a grade of A,...
A statistics teacher claims that, on average, 20% of her students get a grade of A, 35% get a B, 25% get a C, 10% get a D, and 10% get an F. The grades of a random sample of 100 are shown below. Use a = 0.05 to test the claim that the grades follow the distribution claimed by the teacher. Grade                # of Students A                      29 B                      42 C                      20 D                        5 F                         4
3. A teacher states that her grading policy on the course grade is as follows: Grade...
3. A teacher states that her grading policy on the course grade is as follows: Grade A: students whose score is more than 1.5 standard deviations above the mean Grade B: students whose score between 0.5 and 1.5 standard deviations above the mean Grade C: students whose score is within 0.5 standard deviations either side of the mean Grade D: students whose score is more than 0.5 standard deviations below the mean Assume that the course grade scores are normally...
An AP Statistics teacher claims that the AP Statistics grade distribution is as follows: Grade percentage...
An AP Statistics teacher claims that the AP Statistics grade distribution is as follows: Grade percentage A 20% B 40% C20% D15% F5% Suppose that a sample of 100 students taking AP Statistics class yields the observed counts shown below: A 25 B35 C15 D17 F8 Use a 0.10 significance level to test the claimed AP Statistics grade distribution is correct. (a) Identify the appropriate hypothesis test and explain the reasons why it is appropriate for analyzing this data. (b)...
A teacher figures that final grades in the chemistry department are distributed as: A, 25%; B,...
A teacher figures that final grades in the chemistry department are distributed as: A, 25%; B, 25%;C, 40%;D, 5%; F, 5%. At the end of a randomly selected semester, the following number of grades were recorded. Grade A B C D F number of grade 42 36 60 14 8 a. Find the expected absences for each grade  If you have multiple answer, use comma to seperate each answer. b. Use α= 0.01 to test the claim that the grade distribution...
While teaching a unit on fractions, a fifth-grade teacher does a pre-test at the beginning of...
While teaching a unit on fractions, a fifth-grade teacher does a pre-test at the beginning of the unit and a post test and the end of the unit. She found the difference of each student's scores (post-test - pre-test) and then finds the mean. There are 21 students in her class. The mean of the differences is 7 points, with a standard deviation of 3 points. The teacher wants to know if the post-test scores are different than the pre-test...
A statistics teacher wants to assess whether her remedial teaching has been effective for her five...
A statistics teacher wants to assess whether her remedial teaching has been effective for her five students. She decides to conduct a related samples t-test and records the following grades for students prior to and after receiving her tutoring. Before: 2.4, 2.5, 3.0, 2.9, 2.7 After: 3.0, 2.9, 3.5, 3.2, 3.5 (a) Test whether or not her tutoring is effective at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.)...
A statistics teacher wants to assess whether her remedial tutoring has been effective for her five...
A statistics teacher wants to assess whether her remedial tutoring has been effective for her five students. She decides to conduct related samples t-test and records the following grades for students prior to and after receiving her tutoring. Tutoring Before After 2.6 3.3 2.7 3.0 3.2 3.8 3.1 3.4 2.9 3.8 (a) Test whether or not her tutoring is effective at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal places.)...
A physics professor reports that historically grades in her Intro to Physics course have been distributed...
A physics professor reports that historically grades in her Intro to Physics course have been distributed as follows: 15% A’s, 40% B’s, 30% C’s, 8% D’s and 7% F’s. Grades in her most recent course were distributed as follows: A = 20 students, B = 32 students, C = 38 students, D = 7 students, F = 12 students At the 0.05 significance level, does the data provide sufficient evidence to conclude that the recent course distribu:on is different from...
A academic teacher wants to assess whether her remedial tutoring has been effective for her five...
A academic teacher wants to assess whether her remedial tutoring has been effective for her five students. She decides to conduct a related samples t-test and records the following grades for students prior to and after receiving her tutoring. Tutoring Before After 2.6 3.2 2.7 3.1 3.2 3.7 3.1 3.3 2.9 3.8 (a) Test whether or not her tutoring is effective at a 0.05 level of significance. State the value of the test statistic. (Round your answer to three decimal...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT