What is the Central Limit Theorem? Discuss an example of its application.

What is meant by sampling distribution of the sample proportion?

What are confidence intervals?

How do you construct confidence intervals?

A group of participants was surveyed and the information collected shown in the partially completed contingency table below regarding gender and the attitudes on abortion. Firstly, calculate the missing values.

Now, using the completed contingency table, select the statements from the following list that are true.   Note: a statement is true only if the value you calculated from the completed contingency table, when rounded to the same number of decimal places as in the statement, is the same as the value in the statement.  

Explain the Chi – Square test and when it is appropriate. Give example of such test.

You toss a pair of fair six-sided dice 30 times. What is...

The probability that none of the 30 throws give a total of 12?

The probability that a total of 7 appears 5 or more times?

This question is an extension from Q2 above. The high school teacher was also interested in whether there is a gender difference in terms of the student’s choice of majors. So he broke the data down by gender in the following table and conducted a Chi-square test for independence with α = .05.

a. What are the variables in this analysis? What scale of measurement is each variable (nominal, ordinal, or continuous)? (2 points total: 1 for each variable- .5 for variable name, .5 for variable type)

b. State the null and alternative hypotheses in words (1 point total: .5 for each hypothesis)

c. Calculate X2 statistic (2 points total: 1 for final answer, 1 for the process of calculating it)

d. Calculate the degree of freedom and then identify the critical value (1 point total: .5 for df, .5 for critical value)

e. Compare the X2 statistic with the critical value, then report the hypothesis test result, using “reject” or “fail to reject” the null hypothesis in the answer (1 point total, .5 for each answer)

f. Explain the conclusion in a sentence or two, to answer the research question. (1 point)

This exercise assumes familiarity with counting arguments and probability.

Kent's Tents has four red tents and three green tents in stock. Karin selects four of them at random. Let X be the number of red tents she selects. Give the probability distribution. (Enter your probabilities as fractions.)

Find

P(X ≥ 2).

(Enter your probability as a fraction.)

P(X ≥ 2) =

1) You and a friend are talking about the probability of getting a heads on a single toss of a fair coin. Your friend insists that you are more likely to get a heads on a single toss of a fair coin than a tails. Is your friend correct, why or why not? If we were to toss the fair coin an infinite number of times, what would we expect?

2) What does it mean for two probabilities to be mutually exclusive? Provide an example of probabilities that are mutually exclusive.

Mathematical, what is the difference between Weighted and Regular Mean? Technical, they are both averages. How does each measure uniquely find the center of a distribution?

For the following, Use the five-step approach to hypothesis testing found on page 8-16. It states. You can use excel to compute the data or you can do it by hand. The youtube videos provided in the links will walk you through the steps to complete the following problems.

1. State the hypothesis and identify the claim.

H0:

H1:

2. Find the critical value and determine what error level to use. For all the problems on this homework use an alpha level of .05 Determine if the test is right tailed, left tailed or non-directional.
3. Compute the test Value It will be a Chi Square
4. Make a decision to reject or fail to reject the null hypothesis.
5. Summarize the results

Problem #3 You are a researcher who wants to know if there is a significant difference in teenagers who show aggressive behavior after watching violent video games. You, as a researcher, observe both males and females to find observed behavior after watching violent video games. Behavior observed will include cursing, yelling, pushing, punching or any gestures that resemble a threat. After your observation, you collect the following data. Use a chi square to test your hypothesis. Use table G to find the critical value and region to help you make your decision to reject or fail to reject the HO: Remember to find the degrees of freedom Rows-1 times columns -1 Use an alpha of .05. Watch instructional to help you through the steps.

please solve with the same exact data given not any example or illustration

Suppose the administrator of a clinic is interested in the number of visits per person per year for those that are insured. After selecting 15 people the number of visits was recorded as the following:

By using Excel,  data analysis,  five numbers summary, and the Rubric.docx

Answer the following Question, Submit both (Excel file and word document)

1. The mean, mode, median of the annual number of visits.

2. Five points summary [ first Quartile, Second Quartile, third quartile, Maximum and Minimum]

3. Draw the box and whisker plot                                                                                                                                      

4. Range,  IQR                                                                                                                                                        

5. What is variance and standard deviation?

• Why would knowing the variance and standard deviation of a distribution for a given data point be important for a Healthcare Administrator? 

6. The skewness (Indicate if it is positively/negatively skewed) look over the video.

• What would it mean if the distribution was negatively or positively skewed? 

• Why would this information be important for a Healthcare Administrator to know?  

7. Do you have outiler in the number of visit? (if no explain how can you tell?)

8.Write a summary regarding the number of visits using the above information. [at least 500 words]

   Ovservation   Portland   Houston   Jacksonville  
   1 85 71 64  
   2 75 75 69  
   3 82 73 67  
   4 76 74 74  
   5 71 69 80  

6 85 82 72

National Bearings manufactures bearings at plants located in Portland Oregon, Houston Texas, and Jacksonville Florida. To measure employee knowledge of Total Quality Management (TQM), six employees were randomly selected at each plant and tested. The test scores for these employees are given in DATA. Managers want to know if, on average, knowledge of TQM is equal across the 3 plants. Test equality of mean scores at Alpha = 0.05 .

What is the F value? p value? F critical value?

Do we reject equality mean or not? Is knowledge of TQM equal across all 3 plants or not?

Can two events A and B be independent of one another and disjoint? explain what conditions are needed for this to happen?

A company makes cream (for face and hand) bottles that contain a mean amount of therapy cream of 650 ml per bottle as indicated on the label. To monitor its quality, the company randomly selected 100 bottles from the production line and the sample mean amount of cream was 640 ml per bottle. Assume that the amount of cream follows a normal distribution with a standard deviation of 4 ml . Is there evidence at 0.01 level of significance to conclude that the population mean amount of cream is not 650 ml per bottle? Use the confidence interval approach

Manufacturer          
A   B   C   D
25   23   25   27
23   21   25   26
21   23   25   27
23   24   21   26
To test whether the mean time needed to mix a batch of material is the same for machines produced by 4 manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material.

What is the p value?

Does the data provide strong evidence evidence against Ho or weak evidence?

Are the mixing machine considered all equal?

Suppose the amount of time to finish assembling a component is exponentially distributed with an average of 2 minutes.

(a) What is the probability that it takes more than 5 minutes to assemble a component? (b) If 100 components are randomly selected, what is the probability that the average amount of time to assemble these100 components is more than 2.3 minutes?