A high school teacher is interested to compare the average time for students to complete a standardized test for three different classes of students.       

The teacher collects random data for time to complete the standardized test (in minutes) for students in three different classes and the dataset is provided below.    

The teacher is interested to know if the average time to complete the standardized test is statistically the same for three classes of students. Use a significance level of 5%.

The teacher has confirmed that the samples were randomly selected and independent, and the populations have normal distribution and the population variances are equal.

(a) calculate the Test Statistic for this example (round your answer to 2 decimal places)

(b) calculate the P-value for this example (round your answer to 2 decimal places)

A high school runs a survey asking students if they participate in sports. The results are found below. Run an independence test for the data at α=0.01.

Freshmen Sophomores Juniors Seniors

Yes 75 88 55 42

No 30 28 38 40

Enter the test statistic - round to 4 decimal places.

In a large school, there are 60% students are athletes, 30% students in an honor program. 25% athlete students are in the honor program.

Let A = a randomly selected student is an athlete

B = a randomly selected student is in the honor program

Write the symbols of the following probabilities and find the value of the probabilities..

(a) The symbol for the probability a randomly selected athlete is in the honor program.

(b) The probability that a randomly selected student is an athlete and in the honor program.

(c) The probability that a randomly selected student is an athlete or is in the honor program.

(d) The probability that a randomly selected student is not an athlete.

There is some evidence that high school students justify cheating in class on the basis of poor teacher skills. Poor teachers are thought not to know or care whether students cheat, so cheating in their classes is OK. Good teachers, on the other hand, do care and are alert to cheating, so students tend not to cheat in their classes. A researcher selects three teachers that vary in their teaching performance (Poor, Average, and Good). 6 students are selected from the classes of each of these teachers and are asked to rate the acceptability of cheating in class.

How acceptable is cheating in class?

Extremely Very Somewhat Neutral Somewhat Very Extremely unacceptable unacceptable unacceptable acceptable acceptable   acceptable 1 2 3 4 5 6 7

a. Use SPSS to conduct a One-Way ANOVA with α= 0.05 to determine if teacher quality has a significant effect on cheating acceptability. State your hypotheses, report all relevant statistics, include the ANOVA table from SPSS, and state your conclusion.

b. Use SPSS to conduct post hoc testing. To run a post hoc test in SPSS, open the One-Way ANOVA window (used above) and click the “Post Hoc” button. Check the boxes next to LSD and Bonferroni.

State the results of the post hoc tests (which means are significantly different from each other) and include SPSS printouts as part of your answer to this question.

Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 64.1 word per minute. You do some research and determine that the reading rates for their grade level are normally distributed with a mean of 100 words per minute and a standard deviation of 21 words per minute.

a. At what percentile is the child's reading level (round final answer to one decimal place).

b. Create a graph with a normal curve that illustrates the problem.

For the graph do NOT make an empirical rule graph, just include the mean and the mark off the area that corresponds to the student's percentile. There is a Normal Distribution Graph generator linked in the resources area. Upload file containing your graph below.

c. Make an argument to the parents of the child for the need for remediation. Structure your essay as follows:

1. A basic explanation of the normal distribution
2. Why the normal distribution might apply to this situation
3. Describe the specific normal distribution for this situation (give the mean and standard deviation)
4. Interpret the answer to part a. including a definition of percentile.
5. Explain how the graph created in part b. represents the child's reading level.
6. Use the answers to parts a. and b. to emphasize the gravity of the situation.
7. Give a suggested course of action.

The Accountability ratings for sixteen (16) school districts in the Delta Region of Mississippi on a 500 point rating scale are as follows: 302, 125, 225, 279, 108, 420, 350, 149, 129, 382, 114, 141, 180, 209, 156, & 163

Determine the following:

a. Third Decile

b. Fourth Decile

c. Fifth Decile

d. Sixth Dealle

e. Seventh Decile

f. Eighth Decile

g. Ninth Decile

***Please explain

It is March, and you take bus to go to school every day. If the weather is clear, it takes exactly 30 minutes to go to school with the bus. However, if the weather is bad, travel time of the bus becomes a random variable T = 30 + D, where D is the delay due to bad weather. The weather condition is a random variable too, denoted by W. Table 1 shows sample measurements for the weather in March obtained from past years weather reports, where lower value for W means clear weather and higher values corresponds to worse weather conditions. Table 2 shows the samples from the delay in travel time of the bus (in minutes) from the days with bad weather. Two tables are collected independently and all measurements in the individual tables are also independent. 2 Table 1: Samples for Weather Condition W Sample Number w 1 0.3572 2 0.7586 3 0.0915 4 0.6365 5 0.2454 6 0.3995 7 0.6658 8 0.8117 9 0.1647 10 0.8782 Table 2: Samples for delay in bus travel time D under bad weather conditions. Sample Number d 1 25.6645 2 37.6529 3 18.1239 4 17.8418 5 22.4293 6 169.6558 7 133.8231 8 57.0343 9 31.6624 10 21.1983 a Assume that weather condition W can be modeled with a normal distribution with mean µ and standard deviation σ. By using Table 1, find the maximum likelihood estimates, µˆ and σˆ (4 points) b Assume that bad weather in the problem definition corresponds to the score W ≥ 0.65. Using the distribution from the previous part, calculate the probability of experiencing bad weather on a given day. You can use the tables of standard normal distribution (see next page) to find this value. (5 points) c Assume that the delay in bus’ travel time D when the weather is bad, can be modeled with an exponential distribution with parameter λ. Using data from Table 2, compute the maximum likelihood estimate λˆ. (4 points) d Using the results from all previous steps, find the PDF, CDF, expectation and variance of the travel time of the bus T. (12 points) e Let N be a random variable that represents the number of bad weather days in March. Use the Central Limit Theorem to compute the probability that N > 10. (10 points)

The Accountability ratings for sixteen (16) school districts in the Delta Region of Mississippi on a 500 point rating scale are as follows: 102, 225, 222, 379, 208, 120, 250, 449, 229, 182, 214, 141, 150, 309, 256, & 263 Determine the following: a. Third Decile b. Fourth Decile c. Fifth Decile d. Sixth Decile e. Seventh Decile f. Eighth Decile g. Ninth Decile

At the beginning of the school year, Priscilla Wescott decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:

Cash balance, September 1 (from a summer job) ...................................... $6,000

Purchase season football tickets in September........................................... 150

Additional entertainment for each month................................................... 250

Pay fall semester tuition in September ...................................................... 3,500

Pay rent at the beginning of each month.................................................... 450

Pay for food each month............................................................................. 400

Pay apartment deposit on September 2 (to be returned December 15) ...... 450

Part-time job earnings each month (net of taxes) ...................................... 1,300

the total cash payments for December are $698? TRUE or FALSE

cash balance at end of month for December is? ………

Are the four monthly budgets that are presented prepared as static budgets or flexible budgets?

based on this budget which month or months will cash decrease?