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

Q: Assume that X is normally distributed with a mean of 8 and a standard deviation of 3. Determine the…

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Q: The mean systolic blood pressure of men between the ages 20 and 24 is 124 with a standard deviation…

A:

Q: Suppose a random sample of 10 people have their temperatures taken. What is the probability that all…

A: Given Mean=97.7 Standard deviations=0.6 n=10

Q: at least one accident occurs today

A: let Us take the pmf of Poisson Distribution is P(X=x)=l-λλxx! ; λ>0,X=0,1.... given mean λ=2

Q: What is the standard deviation of the time spent with a patient? What is the likelihood that the…

A: The standard deviation of the time spent with a patient can be calculated as:   Thus, the standard…

Q: Suppose x has a distribution with a mean of 13.9 and a standard deviation of 2.1. Random samples of…

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Q: A certain fast-food chain sells cheeseburger. On a typical weekday, the demand for these burgers can…

A: As per our guidelines, we are allowed to answer first question only. Thanks   a) Given : Population…

Q: X is a random variable of student score approximately normal with mean μ = 60 and a standard…

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Q: Suppose that X is binomial distribution with parameters (n ,p). then the relationship between P(X =…

A: The probability mass function of X is given by P(X = x) = nCx.px.(1 - p)n - x  , x = 0,1,2,.....,n

Q: The distribution of the scores on a certain exam is ​N(50​,10​),which means that the exam scores are…

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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74…

A: (a)   Obtain the probability that a randomly selected person at the hot springs stays longer than 80…

Q: A sample of size 21 will be drawn from a population with mean 6 and standard deviation 5. (a) Is it…

A: (a) Sampling distribution of sample mean: If the population is normally distributed then the…

Q: It is appropriate to use A Normal approximation for a Binomial distribution with n-15 and p=0.2. O…

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Q: The time required to travel downtown at 10 a.m. on Monday morning is known to be normally…

A: Given: Meanμ=40 minutes Standard deviationσ=5 minutes The probability that time taken will be less…

Q: At a large university, a random sample of 20 students is drawn. The sample mean age of the students…

A: Solution: Given that: n= 20 Sample size  x = 22.3  Sample mean s= 2.5  Sample standard deviation

Q: A random variable  is normally distributed with mean 10 and standard deviation of 2.    What is…

A: Normal distribution is a continuous distribution which has many real life applications. The normal…

Q: The average time taken to run 10km, X, follows a normal distribution with μ = 60 minutes and σ = 15…

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Q: The standard deviation of a normally distributed X random variable is 1.75. The probability that X…

A: As given,  The standard deviation of X is 1.75. That is, σ = 1.75 The probability that X is between…

Q: (c) The amount of time a bank teller spends with each customer is normally distributed with…

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Q: X is a normally distributed random variable with a mean of 20 and a standard deviation of 4.75. The…

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Q: The weekly wages of workers are normally distributed with mean Riyals 70 and standard deviation…

A: Given data Mean μ = 70 Standard deviation ? = 5 Probability that the wage of a worker is between 69…

Q: Of size 20 will be drawn from a population with mean 6 and standard deviation 3. a. Is it…

A: Given See the handwritten solution

Q: At a large manufacturing company the mean age of workers is 37 years, and the standard deviation is…

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Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 76…

A: "Since you have uploaded a question with multiple subparts, we are solving the first three subparts…

Q: X is the Binomial Random Variable which counts the number of students who passed an exam. If the…

A: Given n=81 P=0.85

Q: Suppose you have a normally distributed population with the mean equal to µ and the standard…

A: Identify the correct option for the given statement. The correct option is identified below: From…

Q: The rate of scores in a test is 5, which follows poisson distribution. Find the probability for…

A: GivenThe rate of scores in a test is 5λ=5Let "x" be the student's scorex~Poisson(λ=5)P(X=x)=e-λ×λxx!…

Q: The amount of time spent commuting one-way to university by students follows a normal distribution…

A: Given X is normal Distributed with mean µ = 22.0 and standard deviation σ = 7.0 now will using…

Q: X is the Binomial Random Variable which counts the number of students who passed an exam. If the…

A:

Q: The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of…

A:

Q: The average credit card debt for college seniors is $3262. If the debt is normally distributed with…

A: Solution: a. Let X be the debt. From the given information, X follows normal distribution with a…

Q: A sociologist wishes to see whether for a certain group of professional women, the average age at…

A: Given,   Sample size = 25 Sample mean = 29.7 Population standard deviation = 1.1   Under the claim,…

Q: A coin is tossed 3 times. Suppose that the random variable X is defined as the number of tails. Find…

A: We tosse a coin 3 times so  n=3 Probability of getting tail at a time = 1/2 At n= 3, P(tail) =…

Q: The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60…

A: (1) Obtain the probability that a randomly selected person at the hot springs stays longer than 79…

Q: he lengths of pregnancies are normally distributed with a mean of 268 days and a standard of…

A:

Q: Find the probability of z greater than 0.5 if mean is 0 and standard deviation is 1.

A: Given, Mean=0 S.D=1 P(z>0.5)=?

Q: Find the F-test statistic to test the claim that the population variances are equal. Both…

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Q: The tip percentage at a restaurant has a mean value of 18% and a standard deviation of 2%.…

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Q: What is the standard deviation of a binomial distribution where n = 16 and p = 0.20? Express your…

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Q: The average prison sentence for a person convicted of second-degree murder is 16 years. If the…

A: The normal distribution  in the center are generally denser and basically less denser at tails.…

Q: A person's blood glucose level and diabetes are closely related.  Let x be a random variable…

A: Given, Mean = 85 Standard deviation = 25   The objective to is find the probability that, for an…

Q: Find the standard deviation of this probability distribution. Give your answer to at least 2 decima…

A: Table with necessary calculation is given as:

Q: A uniform distribution is defined over the interval from 6 to 10. what is the standard deviation?

A: Given,A random variable X~U(6,10)f(x)=110-6f(x)=14  ;  6≤X≤10

Q: Men's weights are normally distributed with a mean of 189 pounds and a standard deviation of 39…

A: The probability that the when 25 men is load on the water taxi their weight will exceed the load…

Q: The temperature in degrees Celsius at a certain location is normally distributed with a mean of 68…

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Q: Find the indicated probability. 12) The incomes of trainees at a local mill are normally distributed…

A: 12.It is mentioned that the incomes of trainees at local mill are normally distributed with a mean…

Q: A normal distribution has a mean of u - 60 with o- 8. If one score is randomly selected from this…

A: Given Data: Let X be the random variable Mean=60 SD=8   X~ Normal (60, 82)

Q: A person's blood glucose level and diabetes are closely related.  Let x be a random variable…

A: Given that: The X be a random variable measured in milligrams of glucose per deciliter of blood.…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.