An experiment is performed to compare the average reading scores of second grade children taught using four different methods. Students are randomly assigned to the four groups with 20 students per group. An analysis of variance is to be used to analyze the data. The following is a partially completed ANOVA table. Fill in the remaining details (2 pts per blank – 12 possible points):

SS total = ?

df between = ?  

df within = ?

MS between = ?

MS within = ?

F = ?

1. State the null and alternative hypothesis (4pts)
2. Based on the information, would you reject the null hypothesis at alpha=.05 that all four groups of second grade students will have the same average reading scores (1pt)? what is the critical value of F (1pt)?

Use SPSS to conduct the necessary analysis to answer each of the questions based on the following scenario. If a statistical test is used, you should use .05 as the critical level of significance. You are a Nursing instructor at your institution. You teach Intro to Nursing. You want to know how your students’ final averages compare to institutional average for Intro to Nursing, which is 80. The final averages for your students are listed below. 90, 80, 77, 55, 67, 71, 82, 70, 99, 92, 93, 88, 66, 43, 91, 50, 75, 84, 94, 89, 62, 39, 68, 99, 86, 90.

1. What is the median average for your students?
2. What is the range of your final averages?
3. Was your class average higher or lower than the institutional average? What was the difference?

1-) A researcher who thinks that Sanav anxiety reads the effect on the scores obtained from the success tests, wants to decrease the anxiety levels with a therapy to be applied to students. In this regard, students want to have an idea about the effectiveness of the method applied by measuring their anxiety levels before and after therapy. The lowest score on the scale of fight is 10, the highest score. 10 full points show the point where the loss is highest. Pre-therapy anxiety scores of eight students were 5, 7, 8, 9, 0, 1,2,4; The therapy sonrass anxiety scores were determined as 3, 2, 7.8, 2, 1.3.3, respectively.
a. )According to both cases, we dry the research hypothesis and test it. We comment on the effectiveness of therapy.
b.) We calculate and interpret confidence intervals and effect size values.

Some boxes of a certain brand of breakfast cereal contain a card with an access code for a free month of a particular entertainment streaming service. The company that makes the cereal claims that the access code can be found in 20% of the boxes. However, based on their experiences consuming the cereal, a group of students believes that the proportion of boxes which contain access codes is less than 20%. The group of students purchases 40 boxes of cereal to investigate the company’s claim. (Assume that the 40 boxes purchased by the students are a random sample of all boxes of this particular cereal). Of those 40 boxes, 6 contained the access code. Based on this sample, is there support for the claim that the proportion of boxes with access codes is less than 0.2? Use an alpha of 0.1. Your answer should contain statements of the null and alternative hypotheses, appropriate and correct calculations, and an answer to the question in the context of the scenario.

(Q27-32)The scores of Business Analytics I follow approximately the Normal distribution with mean μ=70 and standard deviation σ = 10.  

When the score is 80, what is the corresponding Z value?

What proportion all students who take the Business Analytics I score 80 or more?

What is the probability that students score between 80 and 90?

When a student places in the top 1%, what is the corresponding Z value?

How high must a student score to place in the top 1%?

How high must a student score to place in the top 10% of all students taking the Business Analytics I?

3. If a random sample of 53 students was asked for the number of semester hours they are taking this semester. The sample standard deviation was found to be s = 4.7 semester hours. How many more students should be included in the sample to be 99% sure that the sample mean x is within 1 semester hour of the population mean  for all students at this college? i. A marketer is trying two different sales pitches to sell a carpet cleaning service. For his aggressive sales pitch, 175 people were contacted by phone, and 62 of those people bought the cleaning service. For his passive sales pitch, 154 people were contacted by phone, and 45 of those people bought the cleaning service. Does this indicate that there is any difference in the population proportions of people who will buy the cleaning service depending on which sales pitch is used? Use  = 0.05.

A schoolteacher is concerned that her students watch more TV than the average American child. She reads that according to the American Academy of Pediatrics (AAP), the average American child watches 4 hours of TV per day (μ = 4.0 hours). She records the number of hours of TV each of her six students watch per day. The times (in hours) are 4.1, 2.4, 4.8, 5.4, 2.9, and 4.4.

1. Test the hypothesis that her students watch more TV than the average American child using a 0.05 level of significance and a one-independent sample t-test. State the value of the test statistic. (Round your answer to three decimal places.)

2. State the decision to retain or reject the null hypothesis.

3. Compute effect size using estimated Cohen's d. (Round your answer to two decimal places.)

(No scribbling/chicken scratch! Please show work)

1. A researcher at the Annenberg School of Communication is interested in studying the use of smartphones among young adults. She wants to know the average amount of time that college students in the United States hold a smartphone in their hand each day. The researcher obtains data for one day from a random sample of 25 college students (who own smartphones). She installs an app that registers whenever the smartphone is being held and the screen is on. The sample mean is 230 minutes, with a standard deviation of 11 minutes.

a) What is the 95% confidence interval for average daily time a smartphone is used among college students?

b) What value of t is used in the confidence interval?

c) What is the standard error?

d) What is the lower bound of the confidence interval and the upper bound of the confidence interval?

In a study about undergraduate student credit card usage, it was reported that undergraduate students have a mean credit card balance of $3173 (Sallie Mae, April 2009). This figure was an all-time high and had increased 44% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the April 2009 report. Based on previous studies, assume a population standard deviation of 1100.

Suppose you look at a random sample of 96 undergraduate students with a sample mean credit card balance of $3498.6.

You wish to test the claim that the mean credit card balance is higher than it was in 2009 at the α=α=0.005 level.

What is the t stat

what is the p value equal to.