Question

In: Statistics and Probability

A professor decides to conduct a experiment to determine the effects of using a study sheet...

A professor decides to conduct a experiment to determine the effects of using a study sheet on final performance among her students. She is interested in finding out if creating a study sheet improves performance on the final. Prior to the start of the semester, the professor randomly assigns 16 students to one of two groups. One group of students is given a direction to create a study sheet over the course of the term and the other group is not. Both groups receive the same course content over the course of the semester. Scores from the final are used as the dependent variable. Below are the scores for the final of students in her class.

Study Sheet: 88, 77, 96. 85, 71, 73, 81, 91
No study sheet: 63, 71, 83, 90, 92, 84, 72, 71

a.  Is this an independent samples or related samples design? Why?
b.  Write the H0 and H1 in symbols.
c,  Calculate the degrees of freedom (df) and the t critical value with a significance level of .05.
d.  Use the data and conduct the appropriate test to test the hypothesis that creating a study sheet will improve performance on the final
e. Report your decision.
f. Interpret your finding.

Expert Solution

a) This is an independent samples design as students are divided into two different groups.

b) Hypothesis

c)

Degrees of freedom = n1 + n2 -2 = 8+8-2 = 14

t critical value at significance level of 0.05 and df=14 is 2.144 (by referring to the two-tailed t table

D) Following formula can be used to calculate the t statistic:

where,

x1 = group 1 mean

x2 = group 2 mean

s1 = group 1 standard deviation

s2 = group 2 standard deviation

We need to calculate the mean and standard deviation for each group:

Excel can be used to calculate the mean and standard deviation.

Mean can be calculated by using = average command

Standard deviation can be calculated by using =stdev.s command

x1 = 82.75, x2 = 78.25 , s1 = 8.82 s2 = 10.41

By putting the given values in the above formula, we get:

t = 0.9275

the p-value at t = 0.9275 and df = 14 is 0.3694

Since the calculated p value 0.3694 is more than the significance level of 0.05. We accept the null hypothesis.

There is no difference in performance between the students having study sheet or no study sheet

orchestra answered 2 years ago

A psychology professor decides to conduct a scientific experiment to determine the effects of using a...

A psychology professor decides to conduct a scientific experiment to determine the effects of using a study sheet on test performance among her students. She is interested in finding out if creating a study sheet improves performance on the test. Prior to the start of the semester, the professor randomly assigns 16 students to one of two groups. One group of students is given a direction to create a study sheet over the course of the term and the other...

An experimental psychology professor conducts an experiment to evaluate the effects of Variable A: Math Ability...

An experimental psychology professor conducts an experiment to evaluate the effects of Variable A: Math Ability and Variable B: Teaching Method on student performance in research methods. Volunteers for the experiment are divided according to math ability into weak, average, and strong math ability groups. Half of the students in each math ability group are randomly assigned to one of two teaching methods: Method 1 (traditional format) or Method 2 (augmented format, which includes additional problem-solving sessions each week). At...

Professor decided to conduct an experiment determining the differences taking tutoring or not across college year...

Professor decided to conduct an experiment determining the differences taking tutoring or not across college year on statistics grades. Not Tutoring Senior 85 90 Sophomore 80 85 Is there an interaction, if yes, what are the effects?

Conduct a two-factor fixed-effects ANOVA to determine if there are any effects due to A (task...

Conduct a two-factor fixed-effects ANOVA to determine if there are any effects due to A (task type), B (task difficulty), or the AB interaction (alpha = .01). Conduct Tukey HSD post-hoc comparison. The following are the scores from the individual cells of the model: A₁B₁: 41, 39, 25, 25, 37, 51, 39, 101 A₁ B₂: 46, 54, 97, 93, 51, 36, 29, 69 A₁ B₃: 113, 135, 109, 96, 47, 49, 68, 38 A₂ B₁: 86, 38, 45, 45, 60,...

A philosophy professor decides to give a 20 question multiple-choice quiz to determine who has read...

A philosophy professor decides to give a 20 question multiple-choice quiz to determine who has read an assignment. Each question has 3 choices. Let Y be the random variable that counts the number of questions that a student guesses correctly. You can assume that questions and answers are independent. Find the probability distribution function of Y by making a table of the possible values of Y and their corresponding probabilities. Add a column for the Cumulative Distribution Function (CDF) for...

You conduct a study to determine the impact that varying the amount of noise in an...

You conduct a study to determine the impact that varying the amount of noise in an office has on worker productivity (0 – 25). You obtain the following productivity scores: Low Noise Medium Noise Loud Noise 15 19 13 13 13 11 14 10 12 9 7 8 For each condition, determine the sample mean and the sample (unbiased) standard deviation. Report the means and standard deviations in a bar graph (include the whiskers on the bars). Write an interpretation...

In an experiment to determine the effects of conventional and reduced tillage agriculture on crop yield...

In an experiment to determine the effects of conventional and reduced tillage agriculture on crop yield for oats, 3 varieties of oats and two levels of fertilization (0.5 and 1 kg/ acre) were examined using conventional and reduce tillage techniques. Twenty 20 x 60m plots were each partitioned into 6 -10 x 20m subplots and subplots assigned at random to receive a combination of oat variety and fertilizer treatment. Ten of these plots were subjected to conventional tillage practices and...

In a section of an English 201 class, the professor decides to be “generous” with the...

In a section of an English 201 class, the professor decides to be “generous” with the students and will grade the next exam in a unique way. Grades will be assigned according to the following rule: The top 10% receive A’s, the next 20% receive B’s, the middle 40% receive C’s, the next 20% receive D’s, and the bottom 10% receive F’s. Some may refer to this type of grading as “curving” which gave rise to the phrase, “Professor, do...

You are planning to conduct a study to determine whether the average age of the residents...

You are planning to conduct a study to determine whether the average age of the residents of Ashland, OR is at least 55.6 years. What is the most appropriate test for conducting the test? One population mean test Two population means test One-way ANOVA Two-way ANOVA with Replication Chi-square Goodness of Fit Test Chi-square Test for Independence Regression and Correlation Analysis A market research firm is testing consumer reaction to a new shampoo among age groups in four regions. There...

You conduct a study to determine the impact that noise volume in an office has on...

You conduct a study to determine the impact that noise volume in an office has on worker productivity (number of minutes worked in a half-hour). You obtain the following productivity scores Condition 1 (Loud noise): 14, 15, 19, 17, 14, 18, 15 Condition 2 (Soft noise): 16, 18, 21, 21, 20, 18, 21 A) Combine all data into a frequency distribution table with simple frequency, relative frequency, cumulative frequency, and percentile. B) What does the percentile of the score 17...