A distribution with unknown mean u has variance equal to 1.5. Use central limit theorem to find how large a sample should be taken from the distribution in order that the probability will be at least 0.95 that the sample mean will be within 0.5 of the population mean.

Q: The dean of a college wants to use the mean of a random sample to estimate the average time students…

A:

Q: Q6- Assume the probability that a maple tree at age 5 grows less than 130

A: Let X be the random variable such that the height of maple trees at age of 5. As given  X~ N(μ,σ)…

Q: A "big-box" store sells a particular laptop, but has only four in stock. The manager wonders what…

A:

Q: An educational study to be conducted requires a test score in the middle 40% range. If the mean is…

A: Let us assume X=score Given that X follows a normal distribution with mean= 100 and standard…

Q: ume that the random variable X is normally distributed with mean u=70 and standard deviation 9. Find…

A: Given data,Mean μ=70sd    σ=9Find the 40th percentile for X

Q: brisk walk at 4 miles per hour, burns an average of 300 calories per hour. If the standard deviation…

A: Given Data Population Mean,μ = 300.0 Population Standard Deviation,σ = 8.0

Q: Assume that 26% of students at a university wear glasses. Suppose 300 students are randomly…

A:

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: A sample of size 115 will be drawn from a population with mean 48 and standard deviation 12. Use the…

A:

Q: A simple random sample of 100 observations was taken from a large population. The sample mean and…

A: Given that ,                    sample size n=100                    Mean u=80…

Q: The dean of a college wants to use the mean of a random sample to estimate the average time students…

A: The sample size is obtained below: From the given information, the margin of error (ME) is 5…

Q: A random sample of 18 light bulbs is drawn from a normally distributed population. The population…

A:

Q: Suppose a random sample of exponential random variables X1, ..., Xn is taken. Find the meanand…

A: Step 1:The sample mean, denoted by ˉXˉ, of a random sample of exponential random variables…

Q: For any quantitative population with a finite variance, the proportion of data points less than 2…

A: Given :- For any quantitative population with a finite variance, the proportion of data points less…

Q: Using Chebyshev’s Theorem, determine the minimum percentage of observations from a distribution that…

A: From the provided information, The observations from a distribution expected to fall within 3, 3.5…

Q: A competency test has scores with a mean of 69 and a standard debiation of 4. A histogram of the…

A:

Q: Find the standard error of the sample mean such that we have 50 random samples with mean 30 and…

A: Number of random samples,  Mean=30 Standard deviation,

Q: if the standard deviation of a sample is 0.5 find the variance

A:

Q: Let (x-bar) be the mean of a random sample of size 60 drawn from a population with mean 120 and…

A:

Q: The number of hurricanes coming within 250 miles is modeled by Polsson distribution with meanz per…

A: Let X be the time, in years, between hurricanes. The number of hurricanes coming within 250 miles of…

Q: Assume the random variable X is normally distributed with a mean of 50 and a standard deviation of…

A:

Q: Suppose x has a distribution with a mean of 90 and a standard deviation of 12. Random samples of…

A: The sample size is 64 which is sufficiently large (greater than 30) indicating that the sampling…

Q: 5. Given (kx? if z = 1, 2, 3, 4 P(x) = else sa probability function for a discrete random variable;…

A:

Q: The dean of a college wants to use the mean of a random sample to estimate the average time students…

A:

Q: An educational study to be conducted requires a test score in the middle 40% range. If the…

A: Determine the range of the highest and lowest acceptable test scores that would enable a candidate…

Q: When sampling from a population with mean μ and standard deviation σ, the sampling distribution of…

A: Given that  Population with mean μ and standard deviation σ

Q: A car company says that the mean gas mileage for its luxury sedan is at least 21 miles per gallon.…

A: Denote μ as the true mean gas mileage of luxury sedan.

Q: Find the standard error of the sample mean such that we have 70 random samples with mean 40 and…

A: Sample size (n) = 70mean = 25standard deviation (s)

Q: Suppose that 44% of all adults think that airline travel is safer than driving. An opinion poll…

A: Determining  the number  of standard  deviation by the area 3.2 % of meaning. Area between  = (44%…

Q: Suppose you drew a random sample,n of 100 from a population and found mean =30, standard deviation =…

A: We have to find effect of sample size increase on variance of sampling distribution.

Q: If the variance of a national accounting examination is 900, how large a sample is needed to…

A:

Q: S = 2722 - 16,900/7 7-1

A: The given equation is:

Q: A random variable that is normally distributed where mean = 60, standard deviation = 2 and x=55.…

A:

Q: A random sample of 18 light bulbs is drawn from a normally distributed population. The population…

A: Since, the samples are drawn from the normal population thus sampling distribution of sample mean…