In a class of 65 students, 25 speak Spanish, 32 are excellent cooks, and 50 love dogs. Each student is in at least one of these categories. There are 18 Spanish speakers who don’t cook. There are 21 dog lovers who are excellent cooks. There are 4 cooks who speak Spanish and do not love dogs. Determine the number of students in the class in each of the following categories:

(a) Speak Spanish and love dogs

(b) Love dogs and cannot cook

(c) Speak Spanish, are excellent cooks, and love dogs

Create and solve a population proportion for this parameter. Gather appropriate data and post your problem. Include the null and alternative hypothesis, alpha value, p-value, and a conclusion. Make sure that you use appropriate terminology, specify whether you are using the classical method or the p-value method, and fully explain your solution.

“A survey at a local school has revealed that 223 of its students own a smartphone, and that 90 of those 223 students own an iPhone.

Test this hypothesis at the .05 significance level

Student scores on Professor Combs' Stats final exam are normally distributed with a mean of 72 and a standard deviation of 7.5

Find the probability of the following:

**(use 4 decimal places)**

a.) The probability that one student chosen at random scores above an 77.  

b.) The probability that 20 students chosen at random have a mean score above an 77.  

c.) The probability that one student chosen at random scores between a 67 and an 77.  

d.) The probability that 20 students chosen at random have a mean score between a 67 and an 77.

ThenumberofdailytextssentbyMarymountstudentsarenormally distributed with a mean of 80 texts and a standard deviation of 50 texts.

(a) Find the probability that a randomly selected Marymount student sends more than 100 texts each day.

(b) Find the probability that 25 randomly selected Marymount students will have a mean number of daily texts sent that is greater than 50 texts.

(c) Suppose a parent wants their child in the bottom 25% of texters. Find the cut-off value for the number of texts below which 25% of MCU students lie.

indicate whether it is best assessed by using a confidence interval or a hypothesis test or whether the statistical inference is not relevant to answer it.

1. 1. What percent of university students support instituting a fall break?
2. 2. Do basketball players hit a higher proportion of free throws when they are playing at home than when they are playing away?
3. 3. Do majority of students who drive wear their seatbelts?
4. 4. On average, were the 23 players on the 2010 Canadian football team older than the 23 players on the 2010 US football team?

3. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 A normal probability plot verifies that the data are normally distributed.

a) Determine the sample standard deviation.

b) Construct a 95% confidence interval for the population standard deviation. Interpret interval.

Consider the approximately normal population of heights of male college students with mean μ = 68 inches and standard deviation of σ = 4.6 inches. A random sample of 13 heights is obtained.

(b) Find the proportion of male college students whose height is greater than 71 inches. (Round your answer to four decimal places.)
e) Find P(x > 71). (Round your answer to four decimal places.)
(f) Find P(x < 70). (Round your answer to four decimal places.)

Your statistics instructor claims that 60 percent of the students who take her Elementary Statistics class go through life more enriched. For some reason that she can't quite figure out , most people don't believe her. You decide to check this out on your own. You randomly survey 64 of her past Elementary Statistics students and find that 34 feel more enriched as a result of her class. Now , what do you think? (Only using R-Lab)

36. The worldwide market share for a web browser was 20.5​% in a recent month. Suppose that a sample of 120 random students at a certain university finds that 30 use the browser.

b. Suppose that a sample of n=800 students at the same university​ (instead of n=120 determines that 25​% of the sample use the web browser. At the 0.01 level of​ significance, is there evidence that the market share for the web browser at the university is greater than the worldwide market share of 20.5​%?

Calculate the test statistic for the second sample.

What is the​ p-value?

State the conclusion of the test.

MANAGED CARE AND HEALTH INSURANCE PROJECT Pros and Cons of Managed Care in America Students will submit their Managed Care Project in APA format Introduction: Students will submit a one paragraph introduction of the topic they will be discussing. Body of the Paper will include the following. Explain your topic in detail. Define the Challenges and Problems with your topic. What are recommended solutions to the challenges and problems? Are there any implementation to solve the challenges and problems? What is your opinion on the topic and what would you do if you were in charge to fix the problem. Conclusion