Almost all medical schools require applicants to take the Medical College Admission Test (MCAT). Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. To estimate the mean score of WSSU students who took the MCAT, the School of Health Sciences obtains an SRS of scores 10 students. What is the probability that this sample will have an average score between 23 and 26? Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).
Almost all medical schools require applicants to take the Medical College Admission Test (MCAT). Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. To estimate the mean score of WSSU students who took the MCAT, the School of Health Sciences obtains an SRS of scores 10 students. What is the probability that this sample will have an average score between 23 and 26? Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).
Almost all medical schools require applicants to take the Medical College Admission Test (MCAT). Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. To estimate the mean score of WSSU students who took the MCAT, the School of Health Sciences obtains an SRS of scores 10 students. What is the probability that this sample will have an average score between 23 and 26? Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).
Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).
Scores on the MCAT are approximately Normal with a mean of 25 and a standard deviation of 6.5. To estimate the mean score of WSSU students who took the MCAT, the School of Health Sciences obtains an SRS of scores 10 students. What is the probability that this sample will have an average score between 23 and 26?
Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
Expert Solution
Step 1
Obtain the probability that this sample will have an average score between 23 and 26.
The probability that this sample will have an average score between 23 and 26 is obtained below as follows:
Let X denotes the scores on the MCAT which follows normal distribution with the mean of 25 inch and the standard deviation of 6.5 with the sample 10 students has been randomly selected.
Since the population distribution is normally distributed the sample mean of the sampling distributed also follows normal distribution.
That is, the mean of the sampling distribution is,
