What is the value of t*, the critical value of the t distribution for a sample of size 22, such that the probability of being greater than t* or less than -t* is 1%? t* = 7.3

What is the value of t, the critical value of the t distribution for a sample of size 22, such that the probability of being greater than t or less than -t* is 1%? t* = 7.3

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: The owner of a fish market has an assistant who has determined that the weights of rainbow trout are…

A: Mean(µ) = 3.6Standard deviations (σ) = 1.2n = 16

Q: A random variable X follows a Normal Distribution with a mean of 5. It would be logical to say that…

A: It is given than the random variable X follows normal distribution with mean 5, and the objective is…

Q: Farmer McGregor is now growing carrots in a field. He is particularly interested in veight of his…

A: Given information: μ=200σ2=400⇒σ=20n=16 plants 1) The probability that the mean of a random sample…

Q: If n is multiplied by the factor k in the binomial distribution having the parameters n and p, what…

A: In question, Given that n is multiplied by the factor k in the binomial distribution having the…

Q: When sigma is KNOWN and n is less than 30, we use t-distribution True or false?

A: We know that when the population standard deviation (sigma) is known, then we use Z-test otherwise…

Q: X is a random variable having normal distribution , mean = 15 and standard deviation = 0.6.…

Q: A random sample of n = 16 scores is selected from a normal distribution with µ = 500 and σ = 200.…

A: The possible sample would be p(402 < M< 598) = 0.95Explanation:Step 1: Step 2: Step 3: Step 4:

Q: What is the probability of randomly selecting a sample of n = 36 with a value greater than M = 63…

A: given: M=63 n=36 mean=60 standard deviation = 12

Q: A population has a standard deviation of 34. We take a random sample of size 30 from this…

A: Given: Population standard deviation σ = 34 Sample size n = 30

Q: Assume a normal distribution has a mean ofu- 100 with o- 20. If one score is randomly selected from…

A: We want to find probabaility for given data

Q: A leading magazine (like Barron's) reported at one time that the average number of weeks an…

A: n=38

Q: Suppose that X is a normally distributed with a mean 52 and standard deviation is 20 find the given…

A: The standard score is also known as the z score. It is used to calculate the number of standard…

Q: random variable X has a mean value of 20 with a standard deviation of 4. If we obtain a random…

A: The probability that the sample average of X is at most 19 = P(X<=19) = 0.0228

Q: A random sample of n = 64 scores is obtained from a normal population with μ = 30 and o= 10. What is…

A: The given sample size is 64, the population mean is 30 and the population standard deviation is 10.

Q: 4.42 For a mound-shaped, symmetric distribution, what is the probability that x falls into the…

Q: A sample of n = 25 observations is to be drawn from a population that is normally distributed with a…

Q: Suppose that a random sample of size 36 is to be selected from a population with mean 47 and…

A: Given that. X~N( μ , ?) μ=47 , ?=8 , n=36 Z-score =( x - μ )/?

Q: for a normally distributed random variable X with mean of 177.15 and standard deviation of 4.95 a…

A: It is given that the mean is 177.15 and the standard deviation is 4.95.

Q: A sample of n =32 is selected from a normal population with M = 60, σ = 20. What is the…

Q: Suppose that the final exam scores of all students in a large math class are normally distributed…

A: The question is about normal distribution Mean scores of final exam ( μ ) = 130 points Std.…

Q: Commute Time to Work The average commute to work (one way) is 25 minutes according to the 2005…

A: Assume that a random variable x defines commute time to work.

Q: Suppose 100 independent random x values are each distributed N(1,9) – normal distribution with a…

A: Given that. X~N( 1 ,9) μ=1 , ?=3 Z-score =( x - μ )/? NOTE:- According to bartleby…

Q: A random variable X has a mean value of 20 with a standard deviation of 4. If we obtain a random…

Q: 4. In the case of Standard Normal Distribution, the probability value that a random variable assume…

A: Normal Distribution is a continuous distribution. In continuous distribution, random variable can…

Q: A random sample of size 625 was selected from a large population with population mean ? = 15 and…

Q: attachment

A: Let X be the random variable such that the dividend yield of Australian bank stocks. x̅: Sample mean…

Q: Three performers are invited to an audition. Assume all three performers arrive on their own. Here,…

A: Identify the random variable: In this problem, the random variable is X, which represents the number…

Q: Suppose students' ages follow a right skewed distribution with a mean of 21 years old and a standard…

Q: A random sample of n = 9 is obtained from a normal distribution with μ= 40 and σ=15. What is the…

Q: A random variable X has a mean value of 20 with a standard deviation of 4. If we obtain a random…

A: We have given that, X is a random variable are normally distributed with mean (mu) = 20 and…

Q: We select a random sample of (36) observations from a population with mean (81) and standard…

A: From the provided information, Mean (µ) = 81 Standard deviation (σ) = 6 Sample size (n) = 36

Q: What is the probability of randomly selecting a sample of n = 4 with a value greater than M= 63 from…

A: n = 4 M = 63 u = 60 s = 12

Q: Suppose it is known that the monthly sales volume (V) in units of a given product manufactured by…

Q: random sample of n= 4 is obtained from a normal distribution µ= 30, σ= 8. What is the…

A: A random sample of n=4 is obtained from normal distribution with µ=30 and σ=8. i.e. X~N(µ=30, σ2=82)…

Q: Suppose that X is a normally distributed with mean 29 and standard deviation is 8 find the given…

A: Population mean, μ=29 Population standard deviation, σ=8

Q: What is the probability that a randomly selected z-value will be greater than 2.23?

A: According to the provided information, we need to calculate P(Z>2.23)

Q: Assume that 20.5% of all cars in South Africa are silver in colour. Let bp be the sample proportion…

A: Given problem Given that

Q: If the random variable X has a normal distribution with mean = 48 and standard deviation = 18, then…

A: Given that µ=48 σ=18

Q: What is the value of t*, the critical value of the t distribution for a sample of size 6, such that…

A: We have given that Sample size (n) = 6 α = 1% = 0.01

Question

100%

What is the value of t*, the critical value of the t distribution for a sample of size 22, such that the probability of being greater than t* or less than -t* is 1%?

t* =

7.3

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

What is the value of t*, the critical value of the t distribution for a sample of size 26, such that the probability of being greater than t* is 1%? t* =
Suppose weights, in pounds, of dogs in a city have an unknown distribution with mean 80 and standard deviation 12. A sample of size n=97 is randomly taken from the population and the sum is taken. What is the probability that the resulting sum is between 7200 and 7300 pounds? Do not round your answer.
Q: Suppose 100 hypertensive people are given an antihypertensive drug and the drug is effective in 19 of them. By effective, we mean their DBP is lowered by at least 10 mm Hg as judged from a repeat blood-pressure measurement 1 month after taking the drug. (a)What is the best point estimate of the probability p of the drug being effective? (b) Suppose we know that 10% of all hypertensive patients who are given a placebo will have their DBP lowered by 10 mm Hg after 1 month. Can we carry out some procedure to be sure we are not simply observing the placebo effect? Compute a 95% confidence interval for p to be sure we are not simply observing the placebo effect. (Enter your answer using interval notation. Round your numerical values to two decimal places.) Suppose we decide a better measure of the effectiveness of the drug is the mean decrease in blood pressure rather than the measure of effectiveness used previously. Let di = xi − yi, i = 1, …, 100, where xi = DBP…
5. Which of the following is NOT a characteristic of the normal probability distribution? The random variable assumes a value within plus or minus three standard deviations of its mean 99.72% of the time. The total area under the curve is always equal to 1. The graph of the curve is the shape of a rectangle. The mean is equal to the median, which is also equal to the mode.
Suppose weights, in pounds, of dogs in a city have an unknown distribution with mean 31and standard deviation 5 pounds. A sample of size n=39 is randomly taken from the population and the sum is taken. What is the probability that the resulting sum is between 1180 and 1194 pounds?
A random sample of n= 4 is obtained from a normal distribution μ=30, σ=8. What is the probability the sample mean will be smaller than M = 22? Report to the thousandths
A random sample of size n = 28 is obtained from a normally distributed population with a population mean of u = 350 and a variance of o =145. a. What is the probability that xr < 345? b. What is the probability that the sample variance is less than 140? c. What is the probability that the sample variance is greater than 175?
The manager of a baseball team has determined the number of walks, x, issued in a game by one of the pitchers. The probability distribution for x is as follows: P(x) 1/20 X 1 2/20 2 3/20 3 11/20 4 3/20 a) Is this a correct probability distribution? Why or why not? b) Calculate the mean (expected value) for x. c) Construct the probability distribution histogram for the number of 'walks'.
Suppose the random variable X follows a binomial distribution with n = 0.50. Using the normal approximation, what is the value for P(X > 38)? 100 and p =
X is uniformly distributed between 14 and 23. What is the Expected value of X?
Suppose weights, in pounds, of dogs in a city have an unknown distribution with mean 31 and standard deviation 5 pounds. A sample of size n=39 is randomly taken from the population and the sum is taken. What is the probability that the resulting sum is between 1180 and 1194 pounds?