Answer All Questions:

1. What is the difference between a population and a samplein statistics?(I need Unique answer) (i need more details and more Explain)(use your own words don't copy and paste) (don't use handwritting) (put ypur refrence URL Link)
2. How to interpret confidence intervals and confidence levels? (I need Unique answer) (i need more details and more Explain)(use your own words don't copy and paste) (don't use handwritting) (put ypur refrence URL Link)
3. Why the p-value is important? (I need Unique answer) (i need more details and more Explain)(use your own words don't copy and paste) (don't use handwritting) (put ypur refrence URL Link)

For this Pause-Problem, I want you to design three (brief!) studies (they can all be variations on the same idea).

***Make sure to note the independent and dependent variables for all

1). One should use an independent three group design

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2). One should use a matched OR natural set design

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3). One should use a repeated measures design

Suppose that the national average for the math portion of the College Board's SAT is 518. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.

If required, round your answers to two decimal places.

What are the minimum and maximum of the following dataset? Normalize these data so that the normalized data have a minimum of 0 and maximum of 1.
•   5.0, 5.5, 6.2, –4.8, 7.2, 5.4

Consider the class C of all intervals of the form (a, b), a, b ∈ R, a < b and ∅. Show that C is closed under finite intersections but not under complementations or unions. Hint: to show closure of finite intersections, it is enough to prove closure for intersections of 2 sets.

Consider the following linear programming problem: Min 2x+2y s.t. x+3y <= 12 3x+y>=13 x-y<=3 x,y>=0

a) Find the optimal solution using the graphical solution procedure.

b)      Find the value of the objective function at optimal solution.

c)      Determine the amount of slack or surplus for each constraint.

d)        Suppose the objective function is changed to mac 5A +2B. Find the optimal solution and the value of the objective function.

Do you want to own your own candy store? Wow! With some interest in running your own business and a decent credit rating, you can probably get a bank loan on startup costs for franchises such as Candy Express, The Fudge Company, Karmel Corn, and Rocky Mountain Chocolate Factory. Startup costs (in thousands of dollars) for a random sample of candy stores are given below. Assume that the population of x values has an approximately normal distribution.

90 174 133 99 75 94 116 100 85

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean startup cost x and sample standard deviation s. (Round your answers to one decimal place.)

x = thousand dollars

s = thousand dollars

(b) Find a 90% confidence interval for the population average startup costs μ for candy store franchises. (Round your answers to one decimal place.)

lower limit thousand dollars

upper limit thousand dollars

Question 3

In a bag of M & M’s there are 80 M & Ms, with 11 red ones, 12 orange ones,
20 blue ones, 11 green ones, 18 yellow ones, and 8 brown ones. They are
mixed up so that each candy piece is equally likely to be selected if we pick
one.
a) If we select one at random, what is the probability that it is red?
b) If we select one at random, what is the probability that it is not blue?
c) If we select one at random, what is the probability that it is red or orange?
d) If we select one at random, then put it back, mix them well and select
another one, what is the probability that both the first and second ones are
blue?
e) If we select one, keep it, and then select a second one, what is the
probability that the first one is red and the second one is green?

The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.

find standard deviation, first and third quartile, and the limits for the outliers

Sometimes political science students can be confused by similar-sounding terms, such as civil liberties and civil rights, or terms that describe similar but distinct concepts, such as slander and libel. This confusion is often exacerbated when it comes to methodological terms. This exercise is about reinforcing your understanding of similar terms. For each of the word pairs below, define each term and then explain the important differences between them.

1-Internal validity and external validity

1. Causation and correlation

2. Experimental effect and experimental group

3. Test factor and pretest

4. Experiment and field experiment

For this Assignment, you are working at a firm that conducts independent testing for heavy industry. Recently, an automobile manufacturer has been in the news for complaints about the highway gas mileage of their latest model minivan. You receive a contract from a consumer action group to test and write a report on the company’s claim that its minivans get 28 miles per gallon on the highway. The car company agrees to allow you to select randomly 35 low-mileage fleet minivans to test their highway mileage. Your test results gave you the following data:

            29.7     24.5     27.1     29.8     29.2     27.0     27.8     24.1     29.3

            25.9     26.2     24.5     32.8     26.8     27.8     24.0     23.6     29.2

            26.5     27.7     27.1     23.7     24.1     27.2     25.9     26.7     27.8               

            27.3     27.6     22.8     25.3     26.6     26.4     27.1     26.1

List the null and alternative hypotheses for the two-tail test for the mean. Calculate the observed value of the test statistic and the associated p-value.

Is the observed test statistic in the critical region? Is the p-value higher or lower than your alpha?

List the null and alternative hypotheses for the one-tail test of the mean. Calculate the observed value of the test statistic and the associated p-value.

Is the observed test statistic in the critical region? Will the p-value be higher or lower than your alpha?

Statistical Error: Regression to the mean

Definition: In any event where luck or chance is involved, extreme outcomes are followed by more moderate ones.

1. Provide a Human Resource decision that has to be made as an example to regression to the mean.

2. Errors typically occur because the data used to make the decision is flawed in some way. What flawed data could lead to the error for this decision?

3. Think about what data could be used instead (to avoid the error: regression to the mean)?

4. What parameter or statistic will you use to represent the dataset?

5. How could this help avoid the error?

Use the cumulative normal probability excel output above (dealing with the amount of money parents spend per child on back-to-school items) to answer the following question.

The probability is 0.38 that the amount spent on a randomly selected child will be between two values (in $) equidistant from the mean. The lower of these equidistant points is provided in the excel output above. Use the lower endpoint and some math to find the upper endpoint.

Hello,

Would any one give me three survey questions that Conduct Hypothesis Tests for the following:

• Section I - Single Mean Compared to a Hypothesized value
• Section II - Comparison of 2 Means
• Section III - Comparison of 2 Proportions

• Section IV - Comparison of 2 Variances
• Section V - Evaluation of a Goodness of Fit Test

• Section VI -Conduct an ANOVA for 3 or more Population Means
  1. Conduct a complete Pair-wise analysis regardless of ANOVA Results

Thank you

Consider the trash bag problem. Suppose that an independent laboratory has tested trash bags and has found that no 30-gallon bags that are currently on the market have a mean breaking strength of 50 pounds or more. On the basis of these results, the producer of the new, improved trash bag feels sure that its 30-gallon bag will be the strongest such bag on the market if the new trash bag’s mean breaking strength can be shown to be at least 50 pounds. The mean of the sample of 39 trash bag breaking strengths in Table 1.9 is x⎯⎯x¯ = 50.573. If we let µ denote the mean of the breaking strengths of all possible trash bags of the new type and assume that σ equals 1.61:

(a) Calculate 95 percent and 99 percent confidence intervals for µ. (Round your answers to 3 decimal places.)

(b) Using the 95 percent confidence interval, can we be 95 percent confident that µ is at least 50 pounds? Explain.

(Click to select)NoYes , 95 percent interval is (Click to select)belowabove 50.

(c) Using the 99 percent confidence interval, can we be 99 percent confident that µ is at least 50 pounds? Explain.

(Click to select)NoYes , 99 percent interval extends (Click to select)abovebelow 50.

(d) Based on your answers to parts b and c, how convinced are you that the new 30-gallon trash bag is the strongest such bag on the market?

(Click to select)FairlyNot confident, since the 95 percent CI is (Click to select)belowabove 50 while the 99 percent CI contains 50.

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