If our sample size is small (n<30), we can assume the sample mean has a normal distribution. True O False

Q: QUESTION 1 Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a…

A: 

Q: A random variable is not normally distributed, but it is mound shaped. It has a mean of 18 and a…

A: X1,X2,...,Xn are random samples with same mean μ and standard deviation σ  . The sampling…

Q: The difference between two sample means follows a normal distribution if both populations follow a…

A: True We can find it by using the Central limit theorem. By the theorem, difference in sample means…

Q: A sample of size 10 will be drawn from a normal population with mean 15 and standard deviation 22.…

A: Sampling distribution of sample mean: If the population is normally distributed then the sampling…

Q: What is the standard error of x, -x, ? standard deviation of the sampling distribution of x, -x, a.…

A: We want tell the  Standard error of x̄1-x̄2

Q: If X represents a random variable coming from a normal distribution with mean 3 and if P(X> 4.6) =…

A:

Q: Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past 8 weeks, a veterinarian took…

A: Given Information: Sample size (n) = 8 Let x be a random variable representing glucose readings…

Q: A random variable is normally distributed. It has a mean of 283 and a standard deviation of 21. If…

A: given that, a random variable is normally distributed with mean 283 and standard deviation 21.

Q: If a variable is normally distributed, the area between two values of the variable under a normal…

A: The given statement is true  Explanation : Generally the probablity is expressed the area under the…

Q: Given that z is a standard normal random distribution, find z for each situation The area to the…

A: The area to the right of z is 0.1314 is obtained below:From the given information, the probability…

Q: True or False: If the population distribution given is normally distributed, then the sampling…

A: The Central Limit theorem suggests that if the original population is normally distributed, then the…

Q: The mean of all the sample means obtained from all random samples of a certain sample size in a…

A: Here, we have sample mean is an biased estimate of the given random sample.

Q: True/False: The proportions shown in the unit normal table are only accurate for normal…

A: here we know that Z-score and its value calculated and fixed in the z-standard table. when we…

Q: Suppose you know that the x distribution has a mean 75 and standard deviation 12 but you have no…

A: It is given that, x distribution has a mean 75 and standard deviation 12 but you have no information…

Q: Suppose that 40% of Americans drink soda every day. Amy, a researcher at a local university, takes a…

A: Answer:- Here the random variable X has binomial distributionThe sample size is: Probability of…

Q: Gentle Ben is a Morgan horse at a Colorado dude ranch. Over the past weeks, a veterinarian took the…

A: Let x be a random variable representing glucose readings taken from Gentle Ben.

Q: What can we say about the value of χ2 if the sample distribution matches the null distribution…

A: Expression of Chi square statistic is mainly sum of squared differences of observed and expected…

Q: If  =p0.5  and the distribution of  p  is approximately normal, then the sample size must be at…

A: Given:p = 0.5 The sampling distribution of the sample proportion 𝑝̂ is approximately normal when np…

Q: According to the Central Limit Theorem, the distribution of sample means will be approximately…

A: Solution-: According to the CLT, the distribution of sample means will be approximately normal when…

Q: If X represents a random variable coming from a normal distribution and P(X 5.3) = 0.74. O True O…

A: Given: P(X&lt;5.3) = 0.26 P(X&gt;5.3) = 0.74

Q: IQ follows a normal distribution with the parameters listed here. μ = 100 σ = 15 A. Find the…

A: given data, normal distributionμ=100σ=15we have to find out the probabilities.

Q: A sample size 150 will be drawn from a population with mean 25 and standard deviation 28. It is…

A: Given A sample size 150 will be drawn from a population with mean 25 and standard deviation 28.

Q: Use ? = 0.05. d. What sampling distribution will you use? Explain the rationale for your choice of…

A: mu = 86 s = 12.8 n = 8 The sample mean is given by x = 1n∑x x =94.25   The standard error is given…

Q: When determining sample size what do you do if the sample proportion is unknown? What are the…

A: