Question

In: Statistics and Probability

6. Students at a local university believe that their statistics instructor gives them homework assignments just...

6. Students at a local university believe that their statistics instructor gives them homework assignments just to punish them. They wonder if there is any relationship between the number of optional homework problems they do during the semester and their final course grade. They decide to keep track of the number of these problems completed during the course of the semester. At the end of the class each student’s total is recorded along with their final grade. Problems Course Grade 51 62 58 68 62 66 65 66 68 67 76 72 77 73 78 72 78 78 84 73 85 76 91 75 a. What is the regression equation to predict the final grade from the number of homework assignments completed? b. Does the number of completed homework problems predict a significant portion of the variance of the course grade, using α= .05?

Expert Solution

Answer:-

Given That:-

Students at a local university believe that their statistics instructor gives them homework assignments just to punish them. They wonder if there is any relationship between the number of optional homework problems they do during the semester and their final course grade. They decide to keep track of the number of these problems completed during the course of the semester.

By using SPSS we can solve this question.

Enter values into SPSS.

Enter x values in column 1 and y values in column 2.

Click on Analyze --------> Regression --------> Linear ---------> Select Dependent variable and Independent variable ------> ok

We get

a. What is the regression equation to predict the final grade from the number of homework assignments completed?

The estimated regression equation si:

b. Does the number of completed homework problems predict a significant portion of the variance of the course grade, using α= .05?

The null and alternative hypothesis is:

Level of significance = 0.05

Test Statistic = 6.022

p-value = 0.0000

p-value < 0.05

we reject null hypothesis.

Conclusion:

The number of completed homework problems predict significantly the course garde.

Plz like it...,

orchestra answered 2 years ago

Statistics students believe that the mean score on a first statistics test is 65. The instructor...

Statistics students believe that the mean score on a first statistics test is 65. The instructor thinks that the mean score is higher. She samples 10 statistics students and obtains the scores: Grades 73.5 68.4 65 65 63.9 68.4 64.3 66.5 61.9 69 Test grades are believed to be normally distributed. Use a significance level of 5%. State the standard error of the sample means: (Round to four decimal places.) State the test statistic: t=t= (Round to four decimal places.) State the...

...Statistics students believe the mean grade on the first exam is 65. A statistics instructor thinks...

...Statistics students believe the mean grade on the first exam is 65. A statistics instructor thinks the mean grade is higher than 65. He samples ten statistics students and finds their mean grade is 67 with a standard deviation of 3.1972 for the sample. Use the Traditional Method and α = 0.05 to test the instructor’s claim. The data are assumed to be from a normal distribution. ... State the information given: State the claim in words: State the claim...

A statistics instructor believes that fewer than 20% of students at a local college attended the...

A statistics instructor believes that fewer than 20% of students at a local college attended the premiere showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. The Type I error is to conclude that the percent of students who attended is at least 20% when, in fact, it is less than 20%. 20%, when, in fact, it is 20%. less than 20%, when,...

A college statistics instructor claims that the mean age of college statistics students is 24. A...

A college statistics instructor claims that the mean age of college statistics students is 24. A random sample of 116 college statistics students revealed a mean age of 22.7. The population standard deviation is known to be 5.68 years. Test his claim at the 0.05 level of significance. State the hypotheses and identify the claim. Find the critical value(s) Compute the test value. Make the decision to reject or not reject the null hypothesis. Summarize the results.

It is known that 72.3% of statistics students do their homework in time for it to...

It is known that 72.3% of statistics students do their homework in time for it to be collected and graded. Each student does homework independently. Students are selected randomly. In a statistics class of 44 students, a. what is the probability that at least 29 students will do their homework on time? Use the binmial probability formula. Round your answer to 3 decimals. b. what is the probability that exactly 31 will do their homework on time? Use the binomial...

statistics students believe that the average score on the first statistics test is 65. A statistics...

statistics students believe that the average score on the first statistics test is 65. A statistics instructor thinks the average score is higher than 65. he samples ten statistics students and obtains the scores 65;65;70;67;66;63;63;68;72;7. he performs a hypothesis test using a 5% level of significance. the data are from a normal distribution. A) use these data to compare a 95% confidence interval for u. B) is there enough evidence to reject the claim? 4. it has been reported that...

Is there a difference between community college statistics students and university statistics students in what technology...

Is there a difference between community college statistics students and university statistics students in what technology they use on their homework? Of the randomly selected community college students 67 used a computer, 86 used a calculator with built in statistics functions, and 22 used a table from the textbook. Of the randomly selected university students 40 used a computer, 88 used a calculator with built in statistics functions, and 39 used a table from the textbook. Conduct the appropriate hypothesis...

The mean time it is taking a group of students to finish a statistics homework is...

The mean time it is taking a group of students to finish a statistics homework is 105 minutes with standard deviation of 19 minutes. Assume that the time is approximately normally distributed. a) Within which limits you would expect approximately 50% of the students to complete the homework? 95% of the students? b) In the group the finishing times were 76, 98, 93, 115, 65, 117. Check the data for outliers. c) If you do not assume normality for time...

An instructor gives an exam with fifteen questions. Students are allowed to choose any eleven to...

An instructor gives an exam with fifteen questions. Students are allowed to choose any eleven to answer. (a) How many different choices of eleven questions are there? (b) Suppose six questions require proof and nine do not. (i) How many groups of eleven questions contain four that require proof and seven that do not? (ii) How many groups of eleven questions contain at least one that requires proof? (iii) How many groups of eleven questions contain at most three that...

An instructor gives an exam with seventeen questions. Students are allowed to choose any twelve to...

An instructor gives an exam with seventeen questions. Students are allowed to choose any twelve to answer. (a) How many different choices of twelve questions are there? (b) Suppose seven questions require proof and ten do not. (i) How many groups of twelve questions contain five that require proof and seven that do not? (ii) How many groups of twelve questions contain at least one that requires proof? (iii) How many groups of twelve questions contain at most three that...