Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone.

x 1004 975 992 935 976 928

y 40 100 65 145 75 146

(b) Use a calculator to verify that Σx = 5810, Σx² = 5,630,690, Σy = 571, Σy² = 63,791 and Σxy = 546,403.

Compute R (round to 3 decimal places)

A recent study attempted to estimate the proportion of Florida residents who were willing to spend more tax dollars on protecting the Florida beaches from environmental disasters. Forty-six hundred Florida residents were surveyed. 37% of those surveyed said they were willing to spend more tax dollars on protecting the Florida beaches from environmental disasters. The researcher concludes that about 37% of all Florida residents were willing to spend more tax dollars on protecting the Florida beaches.

1. What is the research objective?

2. Identify the population and the sample.

3. Identify the descriptive statistic.

4. Identify the inference/conclusion.

The length of a species of fish is to be represented as a function of the age (measured in days) and water temperature (degrees Celsius). The fish are kept in tanks at 25, 27, 29 and 31 degrees Celsius. After birth, a test specimen is chosen at random every 14 days and its length measured.

The Pew Research Center found that 38.6% of adult Americans believe that marriage is now obsolete. Suppose a random sample of 550 American adults is asked whether marriage is obsolete. Describe the sampling distribution of " role="presentation">pˆ by using the " role="presentation">N(mean,sd) notation and reporting the mean and standard deviation of the sample proportion of American adults who believe that marriage is now obsolete. What is the probability that in a random sample of 550 American adults that less than 35% believe that marriage is obsolete? Explain your method and TI calculation. What is the probability that in a random sample of 550 American adults that between 45% and 50% believe that marriage is obsolete? Explain your method and TI calculation. Would it be unusual for a random sample of 550 American adults to result in 260 or more who believe marriage is obsolete? How would you determine this?

Researchers often enter a lot of data into statistical software programs. The probability of making zero to two errors per 1,000 keystrokes is 0.58, and the probability of making three to five errors per 1,000 keystrokes is 0.27. Find the probabilities (per 1,000 keystrokes) associated with each of the following.

At Most 2 Errors

At least 3 Errors

At most 5 errors

More than 5 errors

You want to rent an unfurnished one-bedroom apartment for next semester. You take a random sample of 10 apartments advertised in the local newspaper and record the rental rates. Here are the rents (in dollars per month). 455, 615, 305, 335, 510, 650, 590, 660, 675, 425

Find a 95% confidence interval for the mean monthly rent for unfurnished one-bedroom apartments available for rent in this community.

The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature (x1), the number of days in the month (x2), the average product purity (x3), and the tons of product produced (x4). The past year’s historical data are available and are presented in the following table:

y x1 x2 x3 x4

240 25 24 91 100

236 31 21 90 95

270 45 24 88 110

274 60 25 87 88

301 65 25 91 94

316 72 26 94 99

300 80 25 87 97

296 84 25 86 96

267 75 24 88 110

276 60 25 91 105

288 50 25 90 100

261 38 23 89 98

Fit a multiple linear regression model to this data. Determine whether or not the model you have assumed can be simplified by dropping any of the terms. Calculate the ANOVA table for the model, which you have determined. What is the estimate of the variance in the electric power measurement? Plot residual plots to determine if the assumptions underlying your analysis are met. Is this normal assumption a good one here? Calculate parameter covariance and parameter correlation matrix for your model. Do you have any concerns on the basis of this matrix?

The US Navy is interested in acquiring a new communications relay for its submarines. Manufacturers tested 50 units and found the mean time between failures to be 2607 minutes, and the sample standard deviation to be 675. Find a 95% CI for the mean time between failures. (Assume the sample comes from a normal population.)

For the Poisson Distribution

a. Is λ×T a parameter of position, scale, shape or a combination? Explain.

b. We can treat “λ×T” as a single parameter, but they actually represent two parameters: λ and T. Say you stand by the side of the road and count the number of cars that pass by you in one minute. After repeating this process 10 times you find the average number of cars that pass in 10 minutes. In this case, what is λ and what is T?

1). Given a container with 6 white balls and 9 black balls, if 4 balls are chosen randomly, what is the probability that exactly two are white?

2). Given a container with 6 white balls and 9 black balls, if 4 balls are chosen randomly, and one of the chosen balls is black, what is the probability that exactly two are white?

Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1255 randomly selected Americans. Suppose 730 of the sampled people replied that the environment is a major issue with them. Construct a 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them. What is the point estimate of this proportion?

(Round the intermediate values to 3 decimal places. Round your answer to 3 decimal places.)

enter the lower limit of the confidence interval ≤ p ≤ enter the upper limit of the confidence interval

The point estimate is enter the point estimate  .

Approximately 360 million people speak English as their first language. With 231 million native speakers, the United States comprises the majority of the global total. Additionally, there are 60 million native English speakers in the United Kingdom, 20 million in Canada, 17 million in Australia, 4.8 million in Ireland, and 4.8 million in New Zealand. Other countries also use English as their primary and official languages.

Problem 7. Summarize the data using a table

(The program I am using for my stats class is called past 3)

Make a pie chart showing the percentage of native English speakers

Make a bar chart showing the percentage of native English speakers

Make a Pareto chart showing the percentage of native English speakers

Let's say that I have a set of ten linear, simulateous equations for 6 unknowns. What MATLAB code could I write to see how many of the variables could be solved in a numerical solution?

Find the mean and standard deviation for each binomial random variable: a. n = 34, π = .65 (Round your mean value to 2 decimal places and standard deviation to 4 decimal places.) Mean Standard deviation b. n = 72, π = .45 (Round your mean value to 2 decimal places and standard deviation to 4 decimal places.) Mean Standard deviation c. n = 24, π = .80 (Round your mean value to 2 decimal places and standard deviation to 4 decimal places.) Mean Standard deviation

Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 17. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 66 and 134​? ​(b) What percentage of people has an IQ score less than 49 or greater than 151​? ​(c) What percentage of people has an IQ score greater than 134​?