My family bought a lovely suburban home that was advertised as having a 25 minute commute from UH. After a while I began to be suspicious that the commute was actually longer. I kept track of my commute times for 40 days and found my drive averaged 32 minutes with a standard deviation of 10 minutes. Does my evidence make their claim suspect? Find an answer with a 95% confidence interval. Find an answer using a hypothesis test with a Z score at the 99% level.

The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 13.113.113, point, 1years; the standard deviation is 1.51.51, point, 5 years.

Use the empirical rule (68−95−99.7%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living longer than 14.614.614, point, 6 years.

A consumer product magazine recently ran a story concerning the increasing prices of digital cameras. The story stated that digital camera prices dipped a couple of years ago, but now are beginning to increase in price because of added features. According to the story, the average price of all digital cameras a couple of years ago was $215.00. A random sample of n = 200 cameras was recently taken and entered into a spreadsheet. It was desired to test to determine if that average price of all digital cameras is now more than $215.00. Find the large-sample rejection region appropriate for this test if we are using  .

How much do wild mountain lions weigh? Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 68 108 132 127   60 64 .Assume that the population of x values has an approximately normal distribution

(a) Use a calculator with mean and sample standard deviation keys to find the sample mean weight x and sample standard deviation s.

b) Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

Assume that your friend claims that he can run 20 km in less than an hour and a professional sports team will recruit him after graduation based on this outcome so he does not worry about his GPA at the university. You would like to test this claim and take a random sample of 34 runs this year and find that he averaged 58.2 minutes. Assume that the standard deviation of his runs is 8.5 minutes and it is normally distributed. a. State the null and alternative hypotheses. b. Test the hypotheses at the 5% significance level. What is the p-value of the test? c. What is your conclusion in the context of the question? d. Interpret the p-value you found above. e. What type of error you can commit here? Explain in the context of the question. Also, what are the implications of this error?

Step 2: Build Linear Model

help me find:

Find Slope:

find y-intercept:

The number of months that a light bulb is functioning is exponentially distributed with parameter λ = 1/10 .

What is the probability that a light bulb will burn for at least 4 months?

Find the mean and the standard deviation.

What is the probability that a light bulb will burn for at least 12 months, given that it has burned for 4 months?

1. You also have been asked to study whether there are any differences in the proportions of various income levels of supporters concerning whether they are willing to financially contribute to the candidate’s campaign. Random samples of supporters categorized by income level are chosen. Sample data concerning income level and whether a financial contribution has been or will be made is shown below in appendix two. At each of the 2% and 5% levels of significance, are there any differences in the proportions of the various income levels concerning their financial support of the candidate? If at either level of significance, you find any differences in the proportions of income levels that have or will donate to the campaign, perform the necessary work in order to ascertain where any possible differences lie.

                                                            Income Level

Donate Financially? <20K   [20K,40K) [40K,60K) [60K,80K) ≥80K  

                        Yes                      14         27               23            29         28

                        No                        50         35               28            19            17   

define the logistic regression model.

Simulation and Expected Values: Yale Law School says 74% of their students pass the bar exam on their first try.

To simulate passing students, we could assign the random digits as:

00 to 49 = pass first try, 50 to 99 = fail first try

0 to 7 = pass first try, 8 to 9 = fail first try

00 to 73 = pass first try, 74 to 99 = fail first try

0 to 4 = pass first try, 5 to 9 = fail first try

The outcomes for this experiment are __________________, with a probability of ________________, and __________________, with a probability of __________________.

1. Desta is a gambler and regularly plays several rounds of a gamble in which he wins $6,000 if odd number of dots face up when a fair die is rolled twice and loses $2,000 for any other outcome from the two rolls of the die. In other words, the outcome of the gamble is determined by rolling a die twice on each round of the gamble and Desta wins only if odd number of dots show up on top in both rolls of the die and loses if any other outcome occurs. Desta is considering playing 18 rounds of such a gamble next week hoping that he will win back the $1,000 he lost in a similar gamble last week. If we let X represent the number of wins for Desta out of the next 18 rounds of the gamble, X will have the binomial probability distribution.

a. Please calculate the probability of success for Desta on each round of the gamble. Show how you arrived at your answer. [Hint: See the joint probability rule for independent events on slide 14 of PPT_SLIDES_SECOND_WEEK).                                           (1 point)

b. What is the probability that Desta will win none of the 18 rounds of the gamble?   (1 point)

c. What is the probability that Desta will lose at least 10 of the 18 rounds of the gamble? Show your work.                                                            (1 point)

d. What is the probability that Desta will win fewer than 8 out of the 18 rounds of the gamble? Show your work.                                                    (1 point)

e. What is the probability that Desta will lose at most 12 out of the 18 rounds of the gamble? Show your work.                                                    (1 point)

f. What is the probability that Desta will lose more than half out of the 18 rounds of the gamble?    Show your work.                                                       (1 point)                                                                                       

  g. How much money is Desta expected to win in the 18 rounds of the gamble? How much money is he expected to lose? Given your results, do you think Desta is playing a smart gamble? Please show how you arrived at your results and explain your final answer.                                                            (2 points)

h. Calculate and interpret the standard deviation for the number of wins for Desta in the next 18 rounds of the gamble. Show your work.                   (1 point)

A company has 3 machines: A, B, and C. The number of breakdowns per week is distributed Poisson. On average, machine A breaks down .4 times per week, machine B breaks down .45 times per week and machine C breaks down .9 times per week. The probability that there are 2 breakdowns in one week is _____ (round to 4 decimal places).

Data was collected from students to determine the effects on overall grade average and number of hours spent playing video games per week.

Grade   Hours/Week
20 23
96 3
74 6
85 5
67 8
56 14
79 4
65 7
Which is the:
-Independent variable?   _______________________
-Dependent variable?   _______________________

-Calculate the coefficient of correlation and interpret the results.

-Determine both the coefficient of determination and non-determination and explain the result.

-Determine the unrounded regression equation for this data set.

-Using the regression equation predict the grade average when 15 hours are played per week. Show all work involved in finding your answer.

Explain to your classmate's what a null-hypothesis. How do you make the decision to reject or not reject a Null-Hypothesis? What are some examples? All work must be in your own words.

A report suggests that business majors spend the least amount of time on course work than other college students (The New York Times, November 17, 2011), A provost of a university conducts a survey of 50 business and 50 nonbusiness students. Students are asked if they study hard, defined as spending at least 20 hours per week on course work. The response shows "yes" if they worked hard or "no" otherwise; a portion of the data is shown in the following table.

1. At the 5% level of significance, determine if the percentage of business majors who study hard is less than 20%?
2. At the 5% level of significance, determine if the percentage of nonbusiness majors who study hard is more than 20%.

Please show work**