Salaries for teachers in a particular elementary school district are normally distributed with a mean of $46,000 and a standard deviation of $4,900. We randomly survey ten teachers from that district. (Round your answers to the nearest dollar.)

(a) Find the 90^th percentile for an individual teacher's salary.


(b) Find the 90^th percentile for the average teacher's salary.

The mean of the population (µ) on a test that measures math skills of middle school students is 200. The variance  is 100. The test scores for the students in Mr. Petris’s class at Suburban Middle School are given below.

195        203        200               193        207               201        199               197        203               199       

195        220        200               202        200               193        205               187        218               189       

173        209        190               190        206               209        185               179        188               205

Use a rejection region with a statistical significance of 5% (p<.05) only in the upper tail.

1. What is the name of the z-test you will conduct?
2. What would be an appropriate null hypothesis that you could test using the provided information?
3. What should you conclude about the null hypothesis you developed (reject or fail to reject)? Explain.

Now use a rejection region with a total statistical significance of 5% (p<.05) incorporated in both the upper and lower tails.

4. What is the name of the z-test you will conduct?
5. What would be an appropriate null hypothesis that you could test using the provided information?
6. What should you conclude about the null hypothesis you developed (reject or fail to reject)? Explain.

Suppose that you are an elementary school teacher and you are evaluating the reading levels of your students. You find an individual that reads 60.3 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 23 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.

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.

Topic: Construction

Let us assume that there is a large high school to be built on the East Coast of Florida near the beach. What type of block would be recommended i.e., compressive, fire rating, architecturally pleasing to the public eye? Remember to factor in cost, permanence, maintenance and safety.

If student arrivals to the school dining commons follows the Poisson distribution with a mean of 50 students per day. For a randomly selected 36 days: (use 4 digits after decimal point)

What is the probability that they served breakfast to at least 1757 students during these 36 days? [hint: P(ΣX ≥ 1757 students) =?]

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:

a. Prepare a cash budget for September, October, November, and December. Enter all amounts as positive values except cash decrease which should be indicated with a minus sign.

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

c. What are the budget implications for Priscilla Wescott?

Priscilla can see that her present plan   sufficient cash. If Priscilla did not budget but went ahead with the original plan, she would be $   at the end of December, with no time left to adjust.

A school bus has recently slid off of an icy bridge and is now in the icy waters below. Several children
were identified and brought to the local ER for medical treatment. A mother arrives at the ER seeking
her son. The nurse encounters the frantic mother and determines that the boy she is looking for was
pronounced dead at the scene.

1. What is the nurse’s best action?
2. What priority assessments should the nurse complete?
3. What nursing interventions are appropriate at this time?

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A playground is on the flat roof of a city school, 4.9 m above the street below (see figure). The vertical wall of the building is h = 6.40 m high, to form a 1.5-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of θ = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall.

(c) Find the horizontal distance from the wall to the point on the roof where the ball lands. (3 sig figs)
???

Data on salaries in the public school system are published annually by a​ teachers' association. The mean annual salary of​ (public) classroom teachers is ​$53.2 thousand. Assume a standard deviation of ​$7.2 thousand. Complete parts​

(a) through​ (e) below. a. Determine the sampling distribution of the sample mean for samples of size 64. The mean of the sample mean is mu Subscript x overbarequals​$ nothing. ​(Type an integer or a decimal. Do not​ round.) The standard deviation of the sample mean is sigma Subscript x overbarequals​$ nothing. ​(Type an integer or a decimal. Do not​ round.) b. Determine the sampling distribution of the sample mean for samples of size 256. The mean of the sample mean is mu Subscript x overbarequals​$ nothing. ​(Type an integer or a decimal. Do not​ round.) The standard deviation of the sample mean is sigma Subscript x overbarequals​$ nothing. ​(Type an integer or a decimal. Do not​ round.) c. Do you need to assume that classroom teacher salaries are normally distributed to answer parts​ (a) and​ (b)? Explain your answer. A. ​No, because if x overbar is normally​ distributed, then x must be normally distributed. B. ​Yes, because the sample sizes are not sufficiently large so that x overbar will be approximately normally​ distributed, regardless of the distribution of x. C. ​No, because the sample sizes are sufficiently large so that x overbar will be approximately normally​ distributed, regardless of the distribution of x. D. ​Yes, because x overbar is only normally distributed if x is normally distributed. d. What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most​ $1000? nothing ​(Round to three decimal places as​ needed.) e. What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 256 classroom teachers will be at most​ $1000? nothing ​(Round to three decimal places as​ needed.) Click to select your answer(s).