CALCULATE THE PROBABILITIES THAT THE SAMPLE MEAN IS LESS THAT 24.6 FOR BOTH SAMPLE
SIZES
N
32
63
P ( xbar < 24.6 ) = P(z < (24.6-mu)/(sigma÷√n) )
Z = ( xbar - mu ) / (sigma ÷ √n)
Here in this question
The information is not given.
Population mean mu and population standard deviation sigma is not provided.
CALCULATE THE PROBABILITIES THAT THE SAMPLE MEAN IS LESS THAT 24.6 FOR BOTH SAMPLE SIZES N...
A random sample is drawn from a normally distributed population with mean μ = 24 and standard deviation σ = 1.6. a. Are the sampling distribution of the sample mean with n = 32 and n = 63 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 32 will have a normal distribution. No, only the sample mean...
5. When both sample sizes are 15, both population standard deviation are 10, and the sample averages are 32 and 35 respectively the experimental Z is 0.822. True False
for a sample of n=61, the probability of a sample mean being less than 21.2 if population mean=21 and population standard deviation =1.2 is ?
For a sample of n=65, the probabilty of a sample mean being less than 22.5 if mu= 23 and sigma= 1.33 is
Please give explanation Help Save & A random sample is drawn from a normally distributed population with mean u = 26 and standard deviation o=2. [You may find it useful to reference the z table.] a. Are the sampling distribution of the sample mean with n= 34 and n=68 normally distributed? O Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. No, only the sample mean with...
Construct a 98% confidence interval to estimate the population mean with x̅ = 63 and σ= 13 for the following sample sizes. a)n=33 b) n = 44 c)n = 60 a) With 98% confidence, when n=33, the population mean is between the lower limit of _______ and the upper limit of _______
Suppose a random sample of n measurement is selected from a population with mean My=100, and variance oy2=100. For each of the following values of n, calculate the mean and standard erro of the sampling distribution of the sample mean y. A) n=64 B) n=81 C) n=100 D) n=1000 Book, 4,8 Supplementary problems. 1. Suppose a Hy -100, and variance o,2100. For each of the following values of n, calculate the mean and standard error of the sampling distribution of...
x, and S1 are the sample mean and sample variance from a population with mean μ| and variance ơf. Similarly, X2 and S1 are the sample mean and sample variance from a second population with mean μ and variance σ2. Assume that these two populations are independent, and the sample sizes from each population are n,and n2, respectively. (a) Show that X1-X2 is an unbiased estimator of μ1-μ2. (b) Find the standard error of X, -X. How could you estimate...
Suppose we select a simple random sample of 100 applicants instead of the 30 originally considered. How do the probabilities of the sample mean being P(980 < xbar < 1000)P(980<xbar<1000) compare for both sample sizes A. probability with n=30 is bigger B. probability with n=30 is smaller C. probability with n=30 is same D. Impossible to tell
A sample of size 29 will be drawn from a population with mean 108 and standard deviation 32. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be less than 88. (c) If appropriate find the 80th percentile of x. .