A cereal manufacturer has advertised that its product, Fiber Oat Flakes, has a lower fat content than its competitor, Bran Flakes Plus. Because of complaints from the manufacturers of Bran Flakes Plus, the FDA has decided to test the claim that Oat Flakes has a lower average fat content than Bran Flakes Plus. Several boxes of each cereal are selected and the fat content per serving is measured. The results of the study are as follows.

	N	Y-bar	S
Fiber Oat Flakes	16	5	1
Bran Flakes Plus	15	6	1

1. Identify the response variable and explanatory variable. Also classify each as categorical or quantitative.
2. Is this an observational study or an experiment? Explain.
3. State the parameter of interest in WORDS.
4. Report the null and alternative hypotheses in symbols.
5. Find the estimated difference of the mean fat content between the two groups.
6. Find the standard error of the estimated differences.
7. At alpha=0.05, is mean fat content of Oat Flakes brand is significantly lower than the mean fat content of Bran Flakes Plus? Compute the –t-statistic.
8. Assuming the normality assumption is satisfied, knowing that degrees of freedom from JMP is 28. Approximate the pvalue the test. And state your decision.
9. State your conclusion.
10. Construct and interpret a 95% Confidence interval of the difference of mean scores between the groups (use by df from JMP df= 28)
11. Based on your confidence interval what does it say about the null hypothesis that the difference of the means is 0?
12. Assume you are repeating this experiment with only 5 boxes in each group (but the means and std. dev. are as before). Do you think the decision of the test will change or not? If yes, how? If not, how? Explain your answer.
13. Do the sample data provide evidence that the mean fat content of Bran Flakes is very different than the mean fat content of Oat Flakes? Explain.

Analyses of drinking water samples for 100 homes in each of two different sections of a city gave the following means and standard deviations of lead levels (in parts per million).

  

	section 1	section 2
sample size	100	100
mean	34.5	36.2
standard deviation	5.8	6.0

(a) Calculate the test statistic and its p-value to test for a difference in the two population means. (Use Section 1 − Section 2. Round your test statistic to two decimal places and your p-value to four decimal places.)

z =

p-value =

Use the p-value to evaluate the statistical significance of the results at the 5% level.

a. H0 is not rejected. There is sufficient evidence to indicate a difference in the mean lead levels for the two sections of the city.

b. H0 is rejected. There is sufficient evidence to indicate a difference in the mean lead levels for the two sections of the city.   

c. H0 is rejected. There is insufficient evidence to indicate a difference in the mean lead levels for the two sections of the city.

d. H0 is not rejected. There is insufficient evidence to indicate a difference in the mean lead levels for the two sections of the city.

(b) Calculate a 95% confidence interval to estimate the difference in the mean lead levels in parts per million for the two sections of the city. (Use Section 1 − Section 2. Round your answers to two decimal places.)

parts per million______ to________parts per million

(c) Suppose that the city environmental engineers will be concerned only if they detect a difference of more than 5 parts per million in the two sections of the city. Based on your confidence interval in part (b), is the statistical significance in part (a) of practical significance to the city engineers? Explain.

a. Since all of the probable values of μ1 − μ2 given by the interval are all less than −5, it is likely that the difference will be more than 5 ppm, and hence the statistical significance of the difference is of practical importance to the the engineers.

b. Since all of the probable values of μ1 − μ2 given by the interval are all greater than 5, it is likely that the difference will be more than 5 ppm, and hence the statistical significance of the difference is of practical importance to the the engineers.   

c. Since all of the probable values of μ1 − μ2 given by the interval are between −5 and 5, it is not likely that the difference will be more than 5 ppm, and hence the statistical significance of the difference is not of practical importance to the the engineers.

Identify and discuss in sufficient detail the relationship between market segmentation, product development and sales performance. Use examples to illustrate your answer.

1301
Type out only!
Answer EACH following question. EACH question must be at least 10 sentences. Make sure you answer each question in detail.
A. Why is police discretion such an important concern?

B. Describe and discuss what the police do.
For example, these activities contain patrol, services to crime victims, helping individuals in distress, and answering calls for assistances about real and imagined problems. They also respond to natural disasters, accidents etc etc. In YOUR own words answer question.

C. Describe the three styles of policing according to James Q. Wilson.
the three styles of policing are watchman, legalistic, and service. Describe each in more detail.

D. What are special-needs searches? Give some examples.

By relying on the IS LM Model explain what will be the effect of a tax cut policy on the equilibrium level of income. Explain in detail the different steps, how does this policy impact the investment?

explain what annex SL is futhermore, list and explain at least 4 high level main clauses and how they may be applied in an ISO 9001 audit. answer in detail.

AUDIT CASE: In the SEC case against Grant Thorton over the Audit of ALC and Broadwind, what were the "red flags" that the auditors should have identified? Please explain!

2,3 BPG is quite abundant in red blood cells (~4.5 mM) and it modulates the affinity of hemoglobin for oxgen. Briefly explain what BPG is doing to the affinity of hemoglobin for oxygen.

Immediately after a ban on using hand-held cell phones while driving was implemented, compliance with the law was measured. A random sample of 1,250 drivers found that 98.9% were in compliance. A year after the implementation, compliance was again measured to see if compliance was the same (or not) as previously measured. A different random sample of 1,100 drivers found 96.9% compliance.

a) State an appropriate null and alternative hypothesis for testing whether or not there is any statistical difference (i.e., a two-sided test) in these two proportions measured initially and then one year later. Conduct the test of hypothesis using a significance level of α= 0.05. Be sure to check the assumptions and conditions for your test. State the P-value of your test and also state your conclusion. (Use R studio and show commands and output for using R.)

b) Develop a 95% confidence interval for the true difference in proportions between the first survey and the second survey and explain what this confidence interval means in context of this problem.  (Use R studio and show commands and output for using R.)

Seek and Find

Choose and research four (4) infectious diseases. Try to achieve a variety in your own selections as well as diseases unique from what your classmates have already posted. For your research please use only well-known, reputable sources.

In one discussion post that has four sections, create a brief description or summary of each of your four diseases. The word count for each disease should be approximately 100 words. The content of your summaries should include the etiology, mode of transmission, target host, or any other pertinent details about each disease that makes them unique. The summaries may be short, but they should be complete and include any essential or notable facts about the diseases.

At the end of each summary include a question about the disease that would prompt your colleagues to visit your references and find the answer. They will have the opportunity to go into more detail about the topics in their discussion replies.

In your replies to this discussion, answer at least one of the four questions posed by your classmate in their initial discussion post. You will visit the resources listed in their reference list to answer and expand on that aspect of the pathogen or the disease it causes.

Resources to get you started

National Institute of Allergy and Infectious Diseases
https://www.niaid.nih.gov/

CDC MMWR Index
http://www.cdc.gov/mmwr/index2015.html

CDC Emerging Infectious Diseases Journal
http://wwwnc.cdc.gov/eid/

Center for Infectious Disease Research and Policy
http://www.cidrap.umn.edu/

Food Poisoning Related Diseases & Conditions
http://www.medicinenet.com/food_poisoning/related-conditions/index.htm