Given a normal distribution with μ=100 and σ=8​, and given you select a sample of n=16​, What is the probability that X is between 94 and 94.5

Q: ven a random variable having the normal distribution, with mean 16 and variance 1.5625, find the…

A: Given:  normal distribution, with mean 16 and variance 1.5625 to find i) the probability that it…

Q: what is the probability that x<70?

A: Let , X→N(μ=100 , σ=10) Our aim is to find the P(X&lt;70)

Q: need a normal probability graph n=10, p=0.5.

A: Ramdom variable x from binomial distribution with n=10 and probability p=0.5 To draw the graph by…

Q: . A cannery processes sardines.  Sardines have a mean length 4.54 inches with a standard deviation…

A: Solution: Let X be the length of sardines. From the given information, X has a mean µ=4.54 inches…

Q: The tread life of tires mounted on light-duty trucks follows the normal probability distribution…

A:

Q: In a region the energy consumption for a family per month averages 1145 kWh and one standard…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: the test statistic to use is the

A: When the population standard deviation is unknown or not given for a hypothesis test then use t test…

Q: You have a normal distribution of test scores with a mean of 100 and an SD of 15. Use the empirical…

A: given data normal distributionμ = 100σ = 15use empirical rule to answer . What range of scores…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: Let x be the number of pounds of red meat a person consumes each year which follows normal…

Q: Consider the continuous normal random variable, X = {a typical customer’s  expenditure at Baby-Toy…

A:

Q: At an airline company, according to the records, the mean age of pilots is 36.2 years, and the…

A:

Q: In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with…

A:

Q: Suppose that the ages of all MIT students are normally distributed with mean 24.01 yrs and s.d. 5.31…

A: Given,mean(μ)=24.01standard deviation(σ)=5.31

Q: Suppose that in a certain population of fish, the lengths of the individual fish follow…

A:

Q: If z is a standard normal variable, find the probability that z is between -2.07 and 3.28

A: Z is between -2.07 and 3.28

Q: Suppose the heights of the members of a population follow a normal distribution. If the mean height…

A:

Q: . What is the value of the standard deviation of the sampling distribution? A. 0.08 B. 0.4 C. 1.2…

A: We have given that  Standard deviation, σ = 0.4 Sample size, n = 25

Q: Given a normal distribution with a mean of 50 and a standard deviation of 7 assign the values to the…

A: The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rule)…

Q: The lifetime of a particular brand of AA batteries follows a normal distribution. The mean lifetime…

A: Correct answer is d. 0.0606

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.