Let Y1, Y2, Yn be a random sample from a Normal distribution with mean µ and variance o?. T · , (n-1)s² sampling distribution of the quantity has a

Q: n=12, CL=90% x2 an-1

A: Given,n=12α=1-0.90α=0.1degrees of freedom(df)=n-1df=12-1=11

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Q: Q1. The random variable X has an unknown mean but known variance of 8 i.e. X~N (μ, 8). A random samp...

A: Given  X~N(μ,σ2=16), n=16, x̄=7, sample variance=S2=11  

Q: y=99% , Confidence Level = 90% , n = 10 One-sided Tolerance Interval

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Q: Compute the following probabilities for the standard normal distribution Z. A. P(0 -1.1)-

A: We have compute the following using standard normal table

Q: Find out the variance of the following series : Income No. of Persons More than 1000 More than 900 M...

A: Solution-: We have following table: Income No. of persons More than 1000 0 More than 900 50 ...

Q: Do you find any association between the temperaments of brothers and sisters from the following data...

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Q: Directions: Choose ONE from the given situations below. Based on the situation you chose, write your...

A: Question: Directions: Choose ONE from the given situations below. Based on the situation you chose, ...

Q: In a certain book, the frequency distribution for the number of words per page may be taken as appro...

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Q: a die is rolled one time, what is the probabilities of each outcome: a. getting a number greater th...

A: Here  x=Number on the die Rolled One dies is rolled  Die has 6 faces and each has same probability o...

Q: Consider the model y = Bi +x2B2 + x3ß3 +e and suppose that application of least squares to 20 observ...

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Q: Example 11. A frequency distribution gives the following results: Co-efficient of variation = 5 Karl...

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Q: Suppose that, as part of a research methods class, Bailey was asked to write a summary of a research...

A: We know that the :  (a) Explanatory variable is a cause. (or regressor ) . Explanatory variable is a...

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Q: Assume this is a simple random sample from a population. Use the Empirical Method to estimate the pr...

A: The number of persons have some confidence in education institutions is 17867.

Q: The following frequency distribution shows the number of crimes committed in a sample of 100 urban n...

A: Procedure to construct the Histogram:   EXCEL procedure to plot Histogram:   Go to EXCEL Go to Inse...

Q: Let X,.... X, be an IID sample from N(u,, o}) and Y,...., Y, be an IID sample from N(u,, o) and assu...

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Q: (c) Find the probability that all four tires have low air pressure. The probability that all four ti...

A: Here given probability distribution of X X = no of tire with low air pressure 

Q: To estimate µ, the mean salary of full professors at American colleges and universities, you obtain ...

A: We have given that,  Sample mean (x̄) = 73220 , standard deviation (s) = 4400 and sample size (n) = ...

Q: Check that the standard normal PDF p(x)=e-r²/v2™ satisfies the equation I xp(x)dx = p(y). y>0. By us...

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Q: approximately Normal. A 95% confidence interval for the mean time u the population of postal service...

A: An SRS of 100 postal employees found that the average time these employees had worked for the postal...

Q: d. ni=35, n2 = 40; both samples are approximately Normal, sample 2 has two outliers. It is safe to u...

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Q: If {X(t)} is a Poisson process, prove that n - r S P{X(s) = r/X(t) = n} = nC, where s<t %3D %3D

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Q: Write each product in the form nPn: a) (6)(5)(4)(3)(2)(1) =

A: Given that (6)(5)(4)(3)(2)(1) We have to write above in the form of permutation as nPn 

Q: (a) Find the probability that the number picked is between 6 and 10. (b) Find the probability that t...

A: Here given function with two line segments  And total area under the curve is always 1 for valid dis...

Q: 15 marbles are drawn without replacement from a jar that contains 20 red marbles, 26 white marbles, ...

A: Formula : E(X) = m*n/N

Q: normal distribution with a mean of 72 and a standard deviation of 12 what percentage of cases will f...

A: Given that : Population mean = 72 Standard deviation = 12 X follow standard normal distribution.  p(...

Q: Suppose that 20% of the people in a large city have used a hospital emergency room in the past year....

A: Let p be the probability that a person used a hospital emergency room. Given that p = 0.20 Let X den...

Q: The following data relate to the sales, in a time of trade depression of a certain article in wide d...

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Q: Derive the distribution of the sum of n independent random variables arch having the Poisson distrib...

A: Poisson distribution : The discrete probability distribution of the number of events happening in a ...

Q: 1. The Poisson process is a Markov process.

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Q: The following frequency distribution shows the number of crimes committed in a sample of 100 urban n...

A: Given : Number of crimes        Frequency of Neighborhoods  0-9                                     ...

Q: Find out the combined mean and standard deviation from the following data : Series A Series B Number...

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Q: Obtain the rank correlation co efficient for the following data : X: 68 Y: 62 64 75 50 64 80 75 40 5...

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Q: A population has mean u=23 and standard deviation o=7. Round the answers to two decimal places as ne...

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Q: unknown variance, o. X and s° are the unbiased, sample mean and sample variance estimates of u and o...

A: Given that.:   Sample size (n) = 25  And x follows normal distribution.  At 95 % of confidence inter...

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Q: A 28th percentile corresponds to O a. an area corresponding to a z score of -o.28 O b. a data value ...

A: Percentile : Percentile is the number such that certain percentage of data fall below that number.  ...

Q: The following are some of the particulars of the distribution of weight of boys and girls in a class...

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Q: The following frequency distribution shows the number of crimes committed in a sample of 100 urban n...

A: Given : Number of crimes                                    Frequency of Neighborhoods              ...

Q: Find the probability of each event. 13) A fair coin is flipped six times. What is the probability of...

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Q: Lee is a hospital Nurse in Colombo and in 2000 she had yearly salary of $60,000. In 2010 she earned ...

A: Given data Lee is a hospital Nurse In Colombo and In 2000 she had yearly salary of $60,000.  In 2010...

Q: 5. To encourage participation of students in various exchange programs, the Office of International ...

A:     The units involved in the population have an equal chance of selection in probability sampling. ...

Q: The interarrival time of a Poisson process, i.e., the interval between two successive occurrences of...

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Q: What is the critical value t* for a 90% confidence interval when n = 15? 1.645 O b 1.960 1.761

A: Given: n = 15 confidence level, c = 90% = 0.90

Q: Answer the following multiple choice questions. You must show some relavent work and/or explanation ...

A: The independent samples taken from three normally distributed population with equal variances.

Q: A binomial experiment has the given number of trials n and the given success probability p. n=10, p=...

A: Given,n=10  ,  p=0.2q=1-0.2=0.8A random variable X~Binomial(n=10 , p=0.2)P(X=x)=10x0.2x0.810-x   ;  ...

Q: (b) Find the probability that a person would wait for 2 days. The probability that a person would wa...

A: Given that : X represents the number of days that a pers5 wait for medical treatment .  f represents...

Q: X is a normally distributed random variable with unknown µ and an unknown variance, o². X and s² are...

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Q: Fry Brothers Heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make servic...

A: Given : Claim : there a difference in the mean number of calls per day between the two employees