Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer the following questions about the sampling distribution of the mean if the sample size is 100.
1. The sampling distribution of X bar is (blank) distributed with mu X bar = (blank) and sigma X bar = (blank). (fill in the blanks)
2. Suppose a random sample is chosen. what is the probability that this selected sample mean is less than 14.2?
3. What is the probability that the selected sample mean is between 15 and 16?
Suppose a normally distributed numerical variable X has MU = 15 and Sigma = 6. Answer...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 142 daysμ=142 days and standard deviation sigma equals 9 daysσ=9 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 139139 days?The probability that a randomly selected pregnancy lasts less than 139139 days is approximately 0.36940.3694. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and...
Suppose the distribution of serum cholesterol values in undergraduate men is approximately normally distributed with mean mu = 190 mg/dl and standard deviation sigma = 40 mg/dl. a) What is the probability of selecting someone at random from this population who has a cholesterol value that is less than 180? b) You take a simple random sample of n = 49 individuals from this population and calculate the mean cholesterol of the sample. Describe the sampling distribution of x-bar? c)...
Time spent using e-mail per session is normally distributed, with mu equals μ=9 minutes and sigma equals σ=2 minutes. Assume that the time spent per session is normally distributed. Complete parts (a) through (d). a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 8.8 and 9.2 minutes? (Round to three decimal places as needed.) b. If you select a random sample of 25 sessions, what is the probability that...
The annual salary for one particular occupation is normally distributed, with a mean of about $133 comma 000 and a standard deviation of about $15 comma 000. Random samples of 28 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution. The mean is mu Subscript x over bar equals nothing, and the standard deviation...
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 205 days and standard deviation sigma equals 17 days. Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is
a random sample size 15 was taken from a normaly distributed pop with a mean of 26 and standard deviation of 6 mu x bar sigma x bar can we conclude the sampling distribution of the sample mean is normal
Suppose x is a normally distributed random variable with mu=50 and sigma = 3. find a value of the random variable, call it Xo, such that, 1) P(X ≤ Xo)= 0.8413 2) P(X > Xo)= 0.025 3) P(41≤X<Xo)=0.8630 Please show Work not in Excel!
Suppose \(x\) has a distribution with \(\mu=51\) and \(σ=2\). (a) If random samples of size \(n=16\) are selected, can we say anything about the \(\bar{X}\) distribution of sample means? Q Yes, the \(\bar{x}\) distribution is nomal with mean \(\mu \bar{x}=61\) and \(\sigma \bar{x}=2\). 0 Yes, the \(\bar{x}\) distribution is normal with mean \(\mu \bar{x}=61\) and \(\sigma \bar{x}=0.1\). 9. No, the sample size is too small. Ye yes, the \(\bar{x}\) distribution is normal with mean \(\mu \bar{x}=61\) and \(\sigma_{x}=0.5\). (b) If...
Assume the random variable x is normally distributed with mean mu equals80 and standard deviation sigma equals 5. Find the indicated probability. P(68less thanxless than71) P(68less thanxless than71)equals nothing (Round to four decimal places as needed.)
Suppose a random variable x is normally distributed with μ = 17.5 and σ = 5.8 . According to the Central Limit Theorem, for samples of size 8: The mean of the sampling distribution for x¯ ( x bar ) is: 1