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Get college assignment help at uniessay writers 10 points Save Average undergraduate cost for tuition, fees, room and board for all institutions in 2007 was $19,410. A random sample of costs in 2008 for 40 institutions indicated that the sample mean was $22,098 and the standard deviation was $6050. Is there evidence at the 1% significance level that the cost of attendance has increased? State the hypotheses:

A recent survey of MBA graduates revealed that their mean salary was $80,000, with a standard deviation of $12,000. If a simple random sample of 75 MBA graduates is to be taken. What is the probability that the sample mean salary will exceed $82,500?

Successful hotel managers must have personality characteristics often thought of as feminine (such as “compassionate”) as well as those often thought of as masculine (such as “forceful”). The Bem Sex-Role Inventory (BSRI) is a personality test that gives separate ratings for female and male stereotypes, both on a scale of 1 to 7. A sample of 148 male general mangers of three-star and four-star hotels had mean BSRI femininity score y = 5.29. The mean score for the general male population is μ = 5.19. Do hotel managers on the average differ significantly in femininity score from men in general? Assume that the standard deviation of scores in the population of all male hotel managers is the same as the σ = 0.78 for the adult male population. Follow the four-step process in your work.

The charge-life for a certain lithium ion battery is normally distributed with mean 90 minutes and standard deviation 35 minutes. What is the probability that a single randomly sampled battery of this type lasts longer than 100 minutes. Does this suggest that a charge-life exceeding 100 minutes would be unusual?

Chapter 9: 17. Do students at various universities differ in how sociable they are? Twenty-five Students were randomly selected from each of three universities in a region and Were asked to report on the amount of time they spent socializing each day with Other students. The result for University X was a mean of 5 hours and an estimated Population variance of 2 hours; for University Y, M=4,S2=1.5 ; and for University Z,M=6,S2=2.5. What should you conclude? Use the .05 level. (a) Use the steps of hypothesis testing, (b) figure the effect size for the study; and (c) explain your answers to parts (a) and (b) to someone who has never had

AP Statistics Mixed Binomial, Geometric and Random Variable Practice I. Binomial vs Geometric Practice A company manufactures batteries in batches of 15 and there is a 3% rate of defects. Find the mean number of defects per batch. An archer is able to hit the bull’s eye 56% of the time. If she shoots 7 arrows, how many bull’s-eyes do you expect her to get? Assume the shots are independent of each other. A basketball player has made 66% of his foul shots during the season. Assuming the shots are independent, find the probability that in tonight’s game he misses for the first time on his 6th attempt? A basketball player has made 70% of his foul shots during the season. If he shoots 5 foul shots in tonight’s game, what is the probability that he doesn’t make all of the shots? Find the probability of at least 2 girls in 8 births. Assume that male and female births are equally likely and that the births are independent events. A beginning archer is able to hit the bull’s-eye 39% of the time. If she shoots 6 arrows, what is the probability that she gets at most 3 bull’s-eyes? Assume each shot is independent of the others. A tennis player makes a successful first serve 60% of the time. If she serves 8 times, what is the probability that she gets more than 3 first serves in? Assume that each serve is independent of the others. II. Mixed Practice Dr. Fidgit developed a test to measure boredom tolerance. He administered it to a group of 20,000 adults between the ages of 25 and 35. The possible scores were 0, 1, 2, 3, 4, 5, and 6, with 6 indicating the highest tolerance to boredom. The following is the probability distribution: ￼ a) Find ￼ b) Find ￼ c) Find ￼ “One in 10 high school graduates in the state of Florida sends an application to the University of Florida,” says the direct of admissions. If Florida has 120,000 high school graduates next year, how many applicants would they expect? Consider a small ferry that can accommodate cars and buses. The toll for cars is $3 and the toll for buses is $10. Let X and Y denote the number of cars and buses, respectively, carried on a single trip. Suppose the X and Y are independent and have the following probability distributions: X = # of cars Y = # of buses ￼ ￼ Compute the mean, variance and standard deviation of the number of cars on the ferry. Compute the mean and variance of the number of buses on the ferry. Compute the mean and variance of total number of vehicles on the ferry. Compute the mean and variance of the total amount of money collected on the ferry. Which type of vehicle is bringing in more money? How much more should we expect from that vehicle per trip? What is the variance of this amount? If 10 ferry rides were randomly selected, what’s the probability that exactly 3 out of 10 ferries will have exactly 2 cars? If ferry rides are randomly selected, what’s the probability that it will take 4 selections to find the first ferry with two busses? According to a recent Census Bureau report, 12.7% of Americans live below the poverty level. Suppose you plan to sample at random 100 Americans and count the number of people who live below the poverty level. What is the probability that you count exactly 10 in poverty? What is the probability that you count 10 or less in poverty? What is the probability that you start taking the random sample and you find the first person in poverty on the 8th person selected? A certain golfer makes her putts 60% of the time. If she putts 10 times, what is the probability that she will make half or less? What is the probability that the 3rd putt was the first one she made? If she putts 8 times, what is the probability that she will make 5 or more putts? What is the probability that the 4th putt was the first one she misses? Random variable X has 12 values with a mean of 8 and a standard deviation of 3. Random variable Y also has 12 values, but is has a mean of 11 and a standard deviation of 2. A new random variable Z is created as follows: Z = 2X 3Y. Find the mean and standard deviation of Z. Many manufacturers have quality control programs that include inspection of incoming materials for defects. Suppose that a computer manufacturer receives computer boards in lots of five. Two boards are selected from each lot for inspection. Each possible outcome is a pair of numbers. List the ten possible outcomes. Suppose boards 1 and 2 are the only defective boards in a lot of five. Define X as the number of defective boards observed among those inspected. Find the probability distribution. A distribution of grades in an introductory statistics class is shown where A=4, B=3, etc: X 0 1 2 3 4 P(X) 0.10 0.15 0.30 0.15 A graduate student needs at least a B to get credit for the course. What are her chances of getting at least a B? Find P(1￼X<3) Find the mean grade in this class. Find the standard deviation for the class grades. Find the lowest grade ￼such that P(X ￼￼) <0.5 Is X an example of a discrete or continuous random variable? A lottery offers one $1000 prize, one $500 prize and five $100 prizes. One thousand tickets are sold at $3 each. Find the expected value (of prize winnings) if a person buys one ticket. In a population of students, the number of calculators owned is a random variable X with P(X=0) =0.2, P(X=1) = 0.6 and P(X=2) = 0.2 Find the mean of this probability distribution Find the variance of this probability distribution Find the standard deviation of this probability distribution In a large population of college students, 20% of the students have experienced feelings of math anxiety. Take a random sample of 10 students : Find the probability that exactly 2 students have experienced math anxiety. Find the standard deviation of the number of students in the sample who have experienced math anxiety. In a certain large population, 40% of the households have a total annual income of $70,000. An SRS of 4 of these households is selected. Find the probability that 2 or more of the households in the survey have an annual income of over $70,000. An archer is able to hit the bull's-eye 49% of the time. If she shoots 10 arrows, what is the probability that she gets exactly 4 bull's-eyes? Assume each shot is independent of the others. A test consists of 10 true/false questions. If a student guesses on each question, what is the probability that the student will answer at least 9 questions correctly. Suppose that in a certain population 46% of people have type O blood. A researcher selects people at random from this population. What is the probability that there is a person with type O blood among the first 6 people checked? A random variable X has the probability distribution shown in the graph below. What is the probability that X will be less than or equal to 1.75? Consider two discrete independent random variables X and Y with ￼ Find each. ￼

12. In a one-way ANOVA, what is the difference between among-group variation and between-group variation? Give a comphrehensive answer.

assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation of 15. find the probability that a randomly selected adult has an IQ between 92 and 118

4) The data below shows the time used to lay pipes over a distance of one kilometer recorded over a distance of 50 kilometers in minutes. The laying of pipes is being done by National Water

Consider a group of 30 randomly selected people. What is the probability that at least two of them have the same birthday? Can you include formula to determine answer? Thank you.

Get college assignment help at uniessay writers Which of the following statements are correct: I. Two variables that are strongly associated will have a correlation near 1. II. Regression requires an explanatory-response relationship, while correlation does not. I III. Even though the correlation between two variables may be high, in order to use the LSRL to predict, there needs to be an explanatory-response relationship between x and y.

Let Yn=Max (X1,X2…..Xn). By an elementary probability argument show that Yn has cumulative distrubtion function: Fyn(y)= {0 (y0) I know that the negative exponential cdf is this but how does the MAX(X1….Xn) result in to the power n? Thanks

The questions that should be asked in the proposal are: What do we have to do to get manufactures to advertise in our magazine? Do customers understand shoes and clothing go hand in hand and are they important? Will the sale of designer shoes create profit for the market? How much profit can we gain by selling shoes? Can the magazine and/or th companyy profit by advertising and selling mens shoes?

In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma. At the .05 significance level, test the claim that the proportion of all children in the town who suffer from asthma is 11%

To study the effect of temperature on yeild in a chemical process, five batches were produced at each of three temperature levels. The results follow. Construct an analysis of variance table. Use a .05 level of significance to test whether the temperature level has an effect on the mean yield of the process. Temperature 50C 60C 70C 34 30 23 24 31 28 36 34 28 39 23 30 32 27 31

A binary random variable X has mean 3 and second moment equal to 25. What is the probability mass function of X

If X is a random variable with probability generating function GX(s) and k is a positive integer, find the probability generating functions of Y=kX and Z=X k

If X has the normal distribution with mean 0 and variance 1, find the mean value of Y=e^(2X)

X is a normally distributed random variable with a mean of 12 and a standard deviation of 3. Calculate the probability that x equals 19.62

A family has 5 children and 1 of them is a boy the percentage of boy is 1/5, or .020. Do you think one could say the chances of any woman having a boy would be 1/5?

The following data represents 15 quarters of manufacturing capacity utilization (in percentages) Quarter/Year Quarter/year Utilization 1/2000 82.5 1/2002 78.8 2/2000 81.3 2/2002 78.7 3/2000 81.3 3/2002 78.4 4/2000 79.0 4/2002 80.0 1/2001 76.6 1/2003 80.7 2/2001 78.0 2/2003 80.7 3/2001 78.4 3/2003 80.8 4/2001 78.0 a. Compute three and four quarter moving average for this time series. Which moving average provides the better forecast for the fourth quarter of 2003? b. Use smoothing constants of α=0.4 and α=0.5 to develop forecast for the fourth quarter of 2003. Which smoothing constant provides the better forecast? c. Based on the analyses in parts a and b, which method – moving avg or exponential smoothing provides the better forecast? Explain

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November 3, 2019