Solved: The Buteyko method is a shallow breathing technique developed by Konstantin Buteyko, a Russian doctor, in 1952. Anecdotal evidence suggests that the Buteyko method can reduce asthma symptoms and improve quality of life. In a scientific study to determine the effectiveness of this method, researchers recruited 600 asthma patients aged 18-69 who relied on medication for asthma treatment. These patients were split into two research groups: one practiced the Buteyko method and the other did not. Patients were scored on quality of life, activity, asthma symptoms, and medication reduction on a scale from 0 to 10. On average, the participants in the Buteyko group experienced a significant reduction in asthma symptoms and an improvement in quality of life. Identify (a) the cases, (b) the variables and their types, and (c) the main research question in this study.

The manufacturer of the Horizon truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. Assume the mileage wear follows the normal distribution and the standard deviation of the distr…

A labor union claims “40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job were available” 74 persons out of the 200 sampled said they would return to work. Can we conclud…

There are two octahedral dice with faces marked 1 through 8. They are constructed such that the side 8 is 1.5 times as probable as the 2 through 7 and the sum of the probabilities of the 1 and the 8 equals that of the pairs on opposin…

Suppose two dice was rolled. Let Y be the random variable representing the number of even number that occur. Find the values of the random variable Y.

For each of the following scenarios, give an example of a discrete and a continuous random variable. The first one is done as an example. Scenarios •Asking your classmates about their breakfast. •Making an order at a fast food r…

Among 250 employees, of the local office of an international insurance company, 182 are whites, 51 are blacks and the rest are Orientals. If 5% margin of error is used, 5. How many employees will be chosen for a case study as sample…

Given \mu=118, \sigma=29μ=118,σ=29 then, p(76\lt x\lt 144)=p({76-118\over29}\lt Z\lt{144-118\over29})=p(-1.45\lt Z\lt 0.90)p(76

A population is normally distributed with a population mean of 76 and a population standard deviation of 13. i. State the distribution of the sample mean for simple random samples of size n = 100. ii. Given a simple random sample …

Given a standard normal distribution with mean =78 and standard deviation = 28, find P(85 < X < 102)

Given a standard normal distribution with mean =118 and standard deviation = 29, find P(76 < X < 144)

Given a standard normal distribution with mean =136 and standard deviation = 39, find P(X>84)

Suppose a particle moves along the x-axis beginning at 0. It moves one integer step to the left or right with equal probability. What is the probability function of its position after four steps?

Suppose a fair die is tossed two times. Let X be the larger of the two faces that appear. Find px(k).

Given a standard normal distribution with mean =62 and standard deviation = 44, find P(X>92)

Given a standard normal distribution with mean =58 and standard deviation = 40, find P(X<96)

A man has four keys in his pocket and, since it is dark, cannot see which is his door key. He will try each key in turn until he finds the right one. Let X be the number of keys tried (including the right one) to open the door. Wha…

Given a standard normal distribution with mean =60 and standard deviation = 35, find P(X<75)

An electrical firm manufactures light bulbs that have a length of life that is normally distributed with mean equal to 814 hours and a standard deviation of 42 hours. Find the probability that a bulb burns between 747 and 846 hours.

A class in statistics contains 10 students, 3 of whom are 19, 4 are 20, 1 is 21, 1 is 24, and 1 is 26. Let X be the average age of the 2 randomly selected students and derive the probability function for X.

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The weights of 1,000 children, in average, is 50kg with standard deviation of 14kg. Suppose the weights are normally distributed, how many children weigh between 53kg and 68kg?

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A random sample of size 144 is drawn from a population whose distribution, mean, and standard deviation are all unknown. The summary statistics are x−−=58.2 and s = 2.6.

Let XX be a random variable represented by the sum of the outcomes, There are 4^2=164 2 =16 possible outcomes with replacement 2: (1, 1)2:(1,1) 3: (1, 2), (2, 1)3:(1,2),(2,1) 4: (1, 3), (2, 2), (3, 1)4:(1,3),(2,2),(3,1) 5: (1, 4…

A box contains 5 balls. One is numbered 1, three are numbered 2, and one is numbered 3. The balls are mixed and one is selected at random. After a ball is selected, its number is recorded. Then it is replaced. If the experiment is rep…

•Box A and B contains 1, 2, 3, 4. Construct the probability distribution and draw a histogram of the sum when one number from each box is taken with placement

How many ways 6 delegates to the convention from a group of 24 qualified students

Random samples of size n were selected from binomial populations with population parameters p given here. Find the mean and the standard deviation of the sampling distribution of the sample proportion ^p = X \bar in each case: …

In how many ways can a teacher select 6 delegates to a national convention from a group of 24 students

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suppose the weight of 800 students are normally distributed with mean 75kg and standard deviation 5kg. find the numer of students that weigh more than 80kg

Suppose that the bank customers arrive randomly and independently on an average of 3.2 customers every 4 minutes. What is the probability that: a. Exactly two customers arrive in every 4 minutes? b. Exactly two customers will arriv…

Oranges chosen at random have a mean mass of 210 grams and standard deviation of 35 grams. Assuming a normal distribution, what is the probability of choosing an orange with a mass between 170 grams and 250 grams

To compare the results of boys and girls in a class, a special test was given to 50 boys who averaged 67.4 with Sd. of 5.0, and 50 girls averaged 62.8 with Sd. of 4.6. (Group Assignment) (2 pts.) a) Test, at …

To compare the results of boys and girls in a class, a special test was given to 50 boys who averaged 67.4 with Sd. of 5.0, and 50 girls averaged 62.8 with Sd. of 4.6. (Group Assignment) (2 pts.) a) Test, at   0.05 …

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Let X be a binomial(5, 0.2) random variable. Let Y be a discrete random variable that is independent of X, such that Y = 1 with probability 0.2 and Y = 0 with probability 0.8. What is the probability that the sum of X and Y is less th…

A dataset has a mean of 15 km and a standard deviation of 2 km with n equal to 30. There is a mode of 22 km and a median of 18 km with a range of 20 km. What is the variance?

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Four coins are tossed let z e the random variable representing the number of heads that turn up. find the values of the random variable Z

Supposed five coins are tossed.let x be the random variable representing the number of head occur. Find the probability of each values of the random variable.

In a railway yard goods trains arrive that at the rate of 30 trains per day. Assuming that the inter-arrival time follows an exponential distribution and the service time distribution is also exponential with an average of 36 mi…

Using the sample in a family of four children, construct a probability distribution for the variable Z representing the number of boys. Draw the histogram of the probability distribution.

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The standard score of Mary in Chinese Test is 1.2 and her standard score in English Test is 0.8. In what subject did she perform better?

Students pass a test if they score 50% or more. The marks of a large number of students were sampled and the mean and standard deviation were calculated as 42% and 8% respectively. Assuming this data is normally distributed, what perc…

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Type of random varial of number of black cards from an ordinary deck of cards

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Determine if the following are probability distributions (if no, state why) x= {3,6,9,12,15} p(x)= {4/9,2/9,1/9,1/9,1/9}

The following represent the scores of a group of students on two tests. calculate spearman rs and kendall's tau for these data. Test 1 - 36, 34, 33, 29, 29, 28, 28, 28, 24, 22, 19, 12 Test 2 - 18, 26, 24, 18, 15, 12, 14, 13, 12, 10,…

1. To the left of z= -1.66 2.to the left of z=1.47 3.to the right of z=2.52 4.to the right of z= -1.75 5.between z=1.5 and 2.76

Here's the Solution to this Question

Solution

a)Identify the cases in this study

b) Identify the variables and their types in this study

c) Identify the main research question in this study.

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Question ID: mtid-4-stid-46-sqid-90-qpid-3