In any given year, one in three Americans over the age of 65 will experience a fall. If you have three living grandparents over the age of 65, and assuming that the probability of a fall for each grandparent is independent:

a. What is the probability that none of the three grandparents will experience a fall? Provide your answer as a decimal between 0 and 1. Hint: Your sample size is 3, what is the number of successes.

b. What is the probability that one or more grandparents will experience a fall? Provide your answer as a decimal between 0 and 1.

1. Given an equilateral triangle ABC with a side of 5 cm. Find the probability that a point taken at random will be located from point A at a distance greater than 2 cm.

2. There are two boxes: inside the first 10 white and 15 black balls, inside the second 10 white and 10 black balls. 5 balls are transferred from the first box to the second and then one ball is removed from the second box at random, what is the probability that it is white?

Thanks Sir )

2.38 Baggage fees: An airline charges the following baggage fees: $25 for the first bag and an extra $35 for the second. Suppose 54% of passengers have no checked luggage, 34% have only one piece of checked luggage and 12% have two pieces. We suppose a negligible portion of people check more than two bags.


a) The average baggage-related revenue per passenger is: $  (please round to the nearest cent)
b) The standard deviation of baggage-related revenue is: $  (please round to the nearest cent)
c) About how much revenue should the airline expect for a flight of 120 passengers? $  (please round to the nearest dollar)

In the article “Explaining an Unusual Allergy,” appearing on the Everyday Health Network, Dr. A Feldweg explained that allergy to sulfites is usually seen in patients with asthma. The typical reaction is a sudden increase in asthma symptoms after eating a food containing sulfites. Studies are performed to estimate the percentage of the nation’s 10 million asthmatics who are allergic to sulfites. In one survey, 38 of 500 randomly selected U.S. asthmatics were found to be allergic to sulfites.
(Source: Elementary Statistics, Weiss, 8th Edition)

If you were to construct a 98% confidence interval for the proportion of all U.S. asthmatics who are allergic to sulfites, what is the margin of error used to calculate the interval? (use the standard error found in problem 1, round your critical value to the hundredths place, and round the margin of error to the thousandths place)

find the critical value (or values) for the t test for each. a. n = 12, a = 0.01, left tailed, b. n = 16, a = 0.05, right tailed, c. n = 7, a = 0.10, two tailed, d. n - 11, a - 0.025, right tailed, e. n = 10, a = 0.05, two tailed

The time needed for checking in at a hotel is to be investigated. Historically, the process has had a standard deviation equal to .146. The means of 39 samples of n = 17 are

a-1. Construct an x⎯⎯x¯ -chart for this process with three-sigma limits. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
  

a-2. Is the process in control?

• Yes

• No

b. Analyze the data using a median run test and an up/down run test. What can you conclude?

rev: 04_08_2019_QC_CS-165352

Problem 1

An automobile manufacturer employs sales representatives who make calls on dealers. The manufacturer wishes to compare the effectiveness of four different call-frequency plans for the sales representatives. Thirty-two representatives are chosen at random from the sales force and randomly assigned to the four call plans (eight per plan). The representatives follow their plans for 6 months, and their sales for the 6-month study period are recorded. These data are listed in the file P19_01.xlsx.

Do the sample data support the hypothesis that at least one of the call plans helps produce a higher average level of sales? Perform an appropriate statistical test and report a p-value.

If the sample data indicate the existence of mean sales differences across the call plans, which plans produce significantly different average sales levels at the 95% level?

the data:

please, i need the answer by using SPSS program. if you display the steps, it will be appreciated.

The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked to perform a simulated driving task while talking on a cell phone. While performing this task, occasional red and green lights flashed on the computer screen. If a green light flashed, subjects were to continue driving, but if a red light flashed, subjects were to brake as quickly as possible. The reaction time (in msec) was recorded. The following summary statistics are based on a graph that appeared in the paper.

n = 49     

x = 525

     s = 70

(a)

Construct a 95% confidence interval for μ, the mean time to react to a red light while talking on a cell phone. (Round your answers to three decimal places.)

Interpret a 95% confidence interval for μ, the mean time to react to a red light while talking on a cell phone.

There is a 95% chance that the true difference in the mean time to react to a red light while talking on a cell phone is directly in the middle of these two values. There is a 95% chance that the true mean time to react to a red light while talking on a cell phone is directly in the middle of these two values.     We are 95% confident that the mean time to react to a red light while talking on a cell phone is between these two values. We are 95% confident that the true mean time to react to a green light while talking on a cell phone is directly in the middle of these two values. We are 95% confident that the true mean time to react to a green light while talking on a cell phone is between these two values.

(b)

What assumption must be made in order to generalize this confidence interval to the population of all drivers?

The assumption that the subjects of the experiment formed a random sample from the population of drivers. The assumption that the subjects of the experiment formed the population of drivers.     The assumption that the experiment captured the population of drivers. The assumption that the subjects of the experiment formed the population of distracted drivers. The assumption that the subjects of the experiment formed a random sample from the population of distracted drivers.

(c)

Suppose that the researchers wanted to estimate the mean reaction time to within 6 msec with 95% confidence. Using the sample standard deviation from the study described as a preliminary estimate of the standard deviation of reaction times, compute the required sample size. (Round your answer up to the nearest whole number.)

n =

You may need to use the appropriate table in Appendix A to answer this question.

1) An economist reports that 700 out of a sample of 2,800 middle-income American households actively participate in the stock market.[You may find it useful to reference the z table.]
  a. Construct the 90% confidence interval for the proportion of middle-income Americans who actively participate in the stock market. (Round intermediate calculations to at least 4 decimal places. Round "z" value and final answers to 3 decimal places.)  

b. Can we conclude that the percentage of middle-income Americans who actively participate in the stock market is not 28%?

Yes, since the confidence interval contains the value 0.28.

Yes, since the confidence interval does not contain the value 0.28.

No, since the confidence interval contains the value 0.28.

No, since the confidence interval does not contain the value 0.28.

Kyd and North are playing a game. Kyd selects one card from a standard 52-card deck. If Kyd selects a face card (Jack, Queen, or King), North pays him $6. If Kyd selects any other type of card, he pays North $3.

a) What is Kyd's expected value for this game? Round your answer to the nearest cent. $

b) What is North's expected value for this game? Round your answer to the nearest cent. $

Generally, the average typing speed is 56 words per minute (wp). A professor wanted to see where his students stand compared to the population. He tested 30 of his students and obtained the following estimates: an average typing speed of 49 with a standard deviation of 16. What can the professor conclude with α = 0.01?

a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Population:
---Select--- the students student typing speed average typing speed typing speed the professor
Sample:
---Select--- the students student typing speed average typing speed typing speed the professor

c) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =
Decision:  ---Select--- Reject H0 Fail to reject H0

Energy consumption: The following table presents the average annual energy expenditures (in dollars) for housing units of various sizes (in square feet), using the TI-84 Plus CE. The answer to the equation of the least-squares regression line is

=y=+b0b1x+984.09520.4819x.

.

The independaence postmaster suspects that working on ziptronic machines is the cause of high absenteeism. More than 10 absences from work without business related reason is considered excessive absenteeism. A check of employee recoreds shows that 26 of the 44 ziptronic operators had 10 or more absences and 35 of 120 nonziptronic workers had 10 or more absences. Construct a contingency table for the postmaster. Does the table support the postmaster’s suspicion that working on ziptronic machines is related to high absenteeism?

8. Seventy-five percent of the students graduating from high school in a small town in Oklahoma attend college. For a random sample of 50 students from the town, what is the probability that

a. at least 80% of the surveyed students will attend college?

b. between 80% and 85% (inclusive) of the surveyed students will attend college?

please explain thought process and step by step

A local greenhouse sells coffee-tree saplings. They price their saplings based on the height of the plant. They have two workers, Susan and Karen, who measure the saplings for pricing. The greenhouse manager wants to determine if there is a significant difference in the measurements made by these two individuals. She has them measure the same set of 15 saplings. Assume that the differences are calculated as Susan – Karen.

The resulting measurements (in cm) have been saved in StatCrunch. Use the data to compute the test statistic for the difference between Susan and Karen. For help using StatCrunch for a Paired Difference T-Test click here. (You may want to right-click that link and open it in a new window so you don't lose your answers on this quiz!)

Give your answer to four decimal places.

Susan   Karen difference
51.2381   51.5426   -0.3045
49.6311   49.292   0.3391
47.4822   46.9531   0.5291
50.3223   51.2982   -0.9759
46.3025   45.7606   0.5419
50.3047   50.3377   -0.033
50.4013   51.4663   -1.065
49.6507   50.0329   -0.3822
51.0187   50.985   0.0337
51.1941   51.7125   -0.5184
47.1907   47.6407   -0.45
49.7466   49.3111   0.4355
46.5283   47.3043   -0.776
47.2727   48.1091   -0.8364
51.5522   52.2639   -0.7117