Malani wants to determine whether children whose preschool classroom has a window differ in their receptive vocabulary as compared to children whose classroom does not have a window. At the beginning of the school year, Malani randomly assigns 10 children at Rainbow Preschool to one of two different classrooms: one classroom which has a window that looks out onto a grassy area or another classroom that has no windows. At the end of the schoolyear, Malani measures children on their receptive vocabulary. In the following are two independent random samples (classroom with and without window) of paired values on the covariate (X; receptive vocab measured at the beginning of the school year) and the dependent essay score (Y; receptive vocab measured at the end of the school year). Conduct an ANOVA on Y, an ANCOVA on Y using X as a covariate, and compare the results if alpha= .05 . Determine the unadjusted and adjusted means.

1.) Suppose you will go to graduate school for 2 years beginning in year 4. Tuition is $28,359 per year, due at the end of each school year. What is the Macaulay duration (in years) of your grad school tuitions? Assume a flat yield curve of 0.06. Assume annual compounding. In the above description, if you see a flat yield curve of 0.08 for example, then it means that the yield at all maturities is 8%.

2.) Suppose in the question above, the tuition obligations have a Macaulay duration of 5.06 in years, and that you wish to immunize against the tuition payments by buying a single issue of a zero coupon bond. What maturity zero coupon bond should you buy?

Assume annual compounding. Round your answer to 2 decimal places.

3.) Suppose in question 1, the tuition obligations have a Macaulay duration of 5.96 in years and a present value of 57,321. In order to immunize against the tuition payments by investing in some combination of two bonds with duration 2.83 and 8.61, what is the dollar amount that you should invest in the bond with duration 8.61?

Assume annual compounding. Round your answer to 2 decimal places.

1. According to the U.S. Census Bureau, 88% of Americans had at least a high school diploma or GED in 2015 and 33% had a bachelor’s degree or more. 100 individuals with a high school diploma and no college were surveyed and their average annual salary was $34,436 with a standard deviation of $1643. 100 individuals with a bachelor’s degree were also surveyed and their annual salary was $58,657 with a standard deviation of $2340. Carry out an appropriate hypothesis test to determine if individuals with a bachelor’s degree have a higher annual salary, on average, than individuals with just a high school diploma. Make sure to include your hypotheses, assumptions, p-value, decision concerning the null hypothesis and an English statement explaining your findings.

2. In 2012, there were roughly 110,000 Democrats in Kern County. The Kern County Elections department released data in 2018 showing that the number of Democrats in the county was on the rise. The data stated that Kern County was home to 131,168 Republicans, 124,174 Democrats, and 89,193 voters with no party preference. Construct a relative frequency bar graph which summarizes all of this data. Make sure to properly label your graph.

The Tampa Bay (Florida) Area Chamber of Commerce wanted to know whether the mean weekly salary of nurses was larger than that of school teachers. To investigate, they collected the following information on the amounts earned last week by a sample of school teachers and nurses.

Is it reasonable to conclude that the mean weekly salary of nurses is higher? Use the 0.01 significance level. Hint: For the calculations, assume the nurses as the first sample.

Click here for the Excel Data File

1. Is this a one-tailed or a two-tailed test?

• One-tailed test

• Two-tailed test

2. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

3. Compute the value of the test statistic. (Round your answer to 3 decimal places.)

4. What is your decision regarding H₀?

• Reject H₀

• Do not reject H₀

5. What is the p-value?

• Greater than 0.1.

• Between 0.01 and 0.1.

• Between 0.001 and 0.01.

• Less than 0.001.

In 2002 the Supreme Court ruled that schools could require random drug tests of students participating in competitive after-school activities such as athletics. Does drug testing reduce use of illegal drugs? A study compared two similar high schools in Oregon. Wahtonka High School tested athletes at random and Warrenton High School did not. In a confidential survey, 8 of 133 athletes at Wahtonka and 27 of 115 athletes at Warrenton said they were using drugs. Regard these athletes as SRSs from the populations of athletes at similar schools with and without drug testing. (a) You should not use the large-sample confidence interval. Why not?

(b) The plus four method adds two observations, a success and a failure, to each sample. What are the sample sizes and the numbers of drug users after you do this? Wahtonka sample size: Wahtonka drug users: Warrenton sample size: Warrenton drug users:

(c) Give the plus four 99.5% confidence interval for the difference between the proportion of athletes using drugs at schools with and without testing. Interval: to

please show your work and what function to use on the calculator . thank you !

1. Complete the following chart (round to two decimal places when calculating the expected values). Show all work in the space provided beneath it. (1 pt per row = 2 pts total)

WORK:

2. Create an SPSS data file and run the test in SPSS. Paste appropriate SPSS output. (2 pts)

3. Write an APA-style Results section based on your analysis. All homework “Results sections” should follow the examples provided in the presentations and textbooks for that particular statistical test. Don’t forget to include a decision about the null hypothesis. (3 pts)

Each person in a large sample of German adolescents was asked to indicate which of 50 popular movies they had seen in the past year. Based on the response, the amount of time (in minutes) of alcohol use contained in the movies the person had watched was estimated. Each person was then classified into one of four groups based on the amount of movie alcohol exposure (groups 1, 2, 3, and 4, with 1 being the lowest exposure and 4 being the highest exposure). Each person was also classified according to school performance. The resulting data is given in the accompanying table.

Assume it is reasonable to regard this sample as a random sample of German adolescents. Is there evidence that there is an association between school performance and movie exposure to alcohol? Carry out a hypothesis test using

α = 0.05.

Calculate the test statistic. (Round your answer to two decimal places.)
χ² = ___

What is the P-value for the test? (Round your answer to four decimal places.)
P-value = ___

Answer the questions as indicated for scenarios 1-5. Note: You do not need to perform any of the procedures indicated.

Scenario 3: A guidance counselor identifies a random sample of 40 high school female students and gives each of these students a vocabulary test. For the female group, the average vocabulary score was 69 with a standard deviation of 5.3. Next, the guidance counselor takes a random sample of 48 male high school students. The male students also complete the vocabulary test. This group had an average vocabulary score of 64 with a standard deviation of 5.6. What is a 90% confidence interval estimate for difference in average vocabulary test score between female and male students at this school?

A. Indicate whether the inference procedure needed is a confidence interval or a significance test.

B. Indicate whether the procedure involves one or two samples.

C. Name the inference method needed to answer the question posed.

D. Verify whether or not the conditions have been met for this inference procedure. Specifically, you need to list each condition and then explain how the condition was or was not met.

E. Determine if it is appropriate to perform the significance test or confidence interval (yes/no).