A random sample of size n = 100 is used to estimate the mean of an infinite population with the mean m = 76 and standard deviation of s2 = 256. What is the probability of getting a sample average between 75 and 78? Please draw the distribution curve and indicate rejection regions.
Here we need to find
As n=100>30, as per central limit theorem distribution of sample mean is normal
Hence we can convert sample mean to z

A random sample of size n = 100 is used to estimate the mean of an...
if the mean of a random sample of size 400 is used to estimate the mean of an infinite population with a standard deviation of 60, the probability is 0.95 that the error is less than 5.88. 117.6. 1.96. 3.92.
sand, approximately. If a random sample of n -100 men was drawn to estimate u, what would be the standard error of X? b. The population of men in California is about 1/10 as large, but suppose it had the same mean and standard deviation. If a random sample of n -100 was drawn, what would be the standard error of X now? 6-7 Continuing Problem 6-6, the population size was 78 million. If a 1% sample was taken (i.e.,...
9. Consider the mean of a random sample of size 75, X. If S2 is the sample variance and the population is normally distributed with mean y, what is the distribution of 10. The mean weight of peanuts in a sample of size 16 from a barrel is 0.09 ounces. The standard deviation of the sample is 0.015 ounces. What is a 90% confidence interval for the mean weight of all peanuts in the barrel? Assume peanut weights in the...
7. The standard deviation of the mean for the sampling distribution of random samples of size n-36 from a large (or infinite) population is 2. How large must the sample size be to decrease the standard deviation to 1.2?
you take a random sample size of 1500 from population 1 and a random sample size of 1500 from population two. the mean of the first sample size is 76; the sample standard deviation is 20. the mean of the second sample is 62; the sample standard deviation is 18. construct the 90% confidence interval estimate of the difference between the means of the two populations representwd here and report both the upper and lower bound of the interval.
A random sample of size n = 64 is selected from a population with mean μ = 52 and standard deviation σ = 24. a. What will be the approximate shape of the sampling distribution of x? skewed symmetric normal b. What will be the mean and standard deviation of the sampling distribution of x? mean= standard deviation=
(2 Points) A random sample of size n = 25 is taken from a population with mean u = 530 and standard deviation o = 100. Then the sampling distribution of the sample mean X has normal distribution with mean 530 and standard deviation 20 has normal distribution with mean 530 and standard deviation 100 has normal distribution with mean 530 and standard deviation 2 has normal distribution with mean 530 and standard deviation 4
A random sample of size n=30 is to be drawn from a population with a mean of 500 and a standard deviation of 200. What is the standard error of the sampling distribution of x̅? 200 36.51 30 91.29
Let X be the mean of a random sample of size n = 75 from the uniform distribution on the interval (0,4), .e 0, otherwise. Approximate the probability P(1.84 < X 〈 2.16).
Let X be the mean of a random sample of size n = 75 from the uniform distribution on the interval (0,4), .e 0, otherwise. Approximate the probability P(1.84 < X 〈 2.16).