Let X be the life in hours of a radio tube. Assume that X is normally distributed with the mean 200 and variance o?. If a purchaser of such radio tubes requires that at least 90% of the tubes have lives exceeding 150 hours, what is the largest value o can be and still have the purchaser satisfied?

Q: A survey of go randomly selected hotels in each city found that the average hotel room rate in New…

A: Given Information: New Delhi: Sample mean x¯1=88.42 Sample standard deviation s1=5.62 Mumbai: Sample…

Q: Martin will be renovating her store, Avenew. He is concerned that his business is growing too fast,…

A: Disclaimer : “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Let x be the observed mean of a random sample of size n from a distributionhaving mean μ and known…

A: Confidence interval on μ is given by  x¯-za2σn≤μ≤ x¯+za2σn                  ...........(1)

Q: 2. The mean weight of 1000 students at a certain high school is 140 pounds and the variance is 100…

A:

Q: Derive the variance of the Student's t distribution using the definition Var (X) = ELX²] - Ex)²

A: t distribution: Let us assume X is a random variable following standard normal distribution and Y is…

Q: Suppose that the number of customers who enter a bank in an hour is a Poisson random variable, and…

A: Given problem Given that   Suppose that the number of customers who enter a bank in an hour is a…

Q: Suppose Y₁, Y2,, Yn is an iid sample from a Poisson(A) distribution, where > 0. Is Y a consistent…

A:

Q: Let X1, X2, ..., X, denote a random sample from the normal distribution with mean u and variance o?.…

A:

Q: Let H be the discrete r.v. that represents the number of heads obtained when a fair coin is flipped…

A: Let H be the discrete r.v. that represents the number of heads obtained when a fair coin is flipped…

Q: A real estate company is interested in testing whether the mean time that families in Gotham have…

A: From the provided information,

Q: if each individual in the population drinks 2 kg of tea and 1 kg of coffee, the mean total…

A:

Q: A soft-drink dispensing machine is said to be out of control if the variance of the contents exceeds…

A: Null hypothesis: H0:σ2≤1.15 Alternative hypothesis: H1:σ2>1.15 The value of the test statistic is…

Q: the assumption that the t test for independent samples makes regarding the amount of variability in…

A: Independent Two Samples t-test:Suppose there are two populations independent of one another. A…

Q: Let X be a binomial random variable that is binomially distributed with a mean of 9 and a variance…

A: binomially distributed with a mean of 9 and a variance of 6. Find q =?

Q: Suppose that the monthly demand for a consumer good follows a normal distribution with an average of…

A: From the given information, Consider, X that the monthly demand for a consumer good follows a normal…

Q: Assume the probability that a maple tree at age 5 grows less than 170 cm is equal to 0.25. If the…

A: Given that,  P(X<170) = 0.25 We know that 0.25 is the 60th percentile for normal distribution, Or…

Q: let x be a random variable that represents the commute time of teachers in a large urban area. If x…

A:

Q: Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

Q: In a certain vaccination site, the service time for individuals before they were given a vaccine…

A: Here Given  Population mean=90 seconds= 1.5 Min Population variance = σ2= 12 (Mins)2 Population…

Q: A sporting goods manufacturer claims that the variance of the strength of a certain fishing line is…

A:

Q: Calculate the mean and variance of this distribution using the MGF obtained in (a).

A:

Q: A gasoline tank for a certain car is designed to hold 15 gallons of gas. Suppose that the random…

A:

Q: Consider the following measures of the heat production capacity of two different coal mines (in…

A: Given :  mine 1: 8280, 8140, 8290, 8240, 8310 mine 2: 8180, 8200, 8210, 8230, 8240,8210.

Q: A study was done on body temperatures of men and women. The results are shown in the table. Assume…

A:

Q: Suppose that Y,,Y,.I, are independent and identically distributed normal random variables with mean…

A:

Q: Each of two pesticide brands is applied to 100 containers of fire ants. Brand1 killed all ants in 65…

A: Assumptions:Each brand is independent of other.The sample size of each brand is large.The samples…

Q: Use the result of Exercise 45 to show that, if n independent random variables Xi have normal…

A: The mean is calculated as follows:

Q: Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a…

A: Find the back-to-knee length that is significantly low: Denote the back-to-knee lengths with the…

Q: Let X be a random sample from Exp(e). a. Find the CRLB for variance of any estimator b. Find CSS. c.…

A:

Q: A soft drink dispensing machine is said to be out of control if the variance of the contents exceeds…

A: Given Significance level 0.05

Q: typical bag of rice weighs 67.5 pounds. A consumer suspects and claims that the mean weight of all…

A: Given : Claim : The mean weight of all bags of rice sold in a local public market is less than the…

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130 cm is equal to 0.1. If the…

A:

Q: Suppose that X has the uniform distribution on the interval [0, 1]. Compute the variance of X.

A: The probability distribution function for a uniform distribution in interval a,b is given by…

Q: Suppose that X1, X2, X3 and X4 are all independent random variables, each with a normal…

A:

Q: It is known that the average weight of babies born in a maternity ward is 3.2 kg and the variance of…

A: Given that μ=3.2kgσ2=0.09 kg2σ=0.3 kg a) Consider, the probability of babies weigh more than 4 kg…

Q: The lifetime of a light bulb is normally distributed with the mean 3000 hours and a variance of 1392…

A: We have given that,  The lifetime of a light bulb are normally distributed with mean (Mu) = 3000…

Q: A pencil manufacturer claims that its pencils have lengths that are normally distributed with a mean…

A: From the provided information,

Q: Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded.…

A: First we have sorted the data in ascending order along with their corresponding index i  i…

Q: A study was done on body temperatures of men and women. The results are shown in the table. Assume…

A: Statistical Software Output:

Q: If independent random variables 'X' and Y have the variances 36 and 16 respectively, find the…

A:

Q: Suppose that the mean weight of a particular type of ripe tomato is 155 g, and the variance of the…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Given that age of ECU students is normally distributed. A random sample of 16 students had an…

A:

Q: The client has collected the daily prices for the last month of Bata stock and has computed the mean…

A:

Q: The mean height of 15-year-old boys (in em) is 175 and the variance is 64. For girls, the mean is…

A: As given that : Mean for height of boys: X1=175 And variance : σ12=64 Mean for height of girls:…

Q: Assume the probability that a maple tree at age 10 grows less than 110 cm is equal to 0.4. If the…

A:

Q: Suppose that the time spent online to do homework by a randomly selected student has a gamma…

A:

Q: Let Y be the life in hours of a battery. Assume Y is normally distributed with mean 200 and variance…

A:

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.