Question

In: Statistics and Probability

7. Using the Z Chart or excel, assume normal distribution, What is the Probability if Z...

7. Using the Z Chart or excel, assume normal distribution, What is the Probability if Z = -2.09? What is Z if the probability is 0.39?

8. Why would a person use Z scores to compare performance in Business and History classes?

Solutions

Expert Solution

8)

Why would a person use Z scores to compare performance in Business and History classes?

If we know the values of mean & std deviation then we cannot directly compare the means without considering variance or we cannot compare variance without considering mean.

To compare using both mean and variance we use z score.

So we get an estimate that we can compare with the other is z score.

Z = x - mean / std deviation.

it is a precise measure for comparison of different groups


Related Solutions

Calculate the probability For the standard normal distribution random variable Z using Excel formulae/functions. P (Z...
Calculate the probability For the standard normal distribution random variable Z using Excel formulae/functions. P (Z ≤ 2) P (-1.63 < Z ≤ 1.95) P (-1 < Z < 1) P (Z ≤ -0.69) P (0.85 < Z ≤ 2.23) P (Z > 3)
Find the indicated probability using the standard normal distribution. ​P(z < -0.39​)
Find the indicated probability using the standard normal distribution. ​P(z < -0.39​)
For a standard normal distribution, what is the probability that z is greater than 1.65
For a standard normal distribution, what is the probability that z is greater than 1.65
Find the probability for Z>-0.97 given that Z is Standard Normal Distribution?
Find the probability for Z>-0.97 given that Z is Standard Normal Distribution?
Find the probability for Z<1.14 given that Z is Standard Normal Distribution?
Find the probability for Z<1.14 given that Z is Standard Normal Distribution?
Find the indicated probability using the standard normal distribution. P(0< z<0.455)
Find the indicated probability using the standard normal distribution. P(0< z<0.455)
Z is a random normal variable. Find the following z values using excel: a. What is...
Z is a random normal variable. Find the following z values using excel: a. What is the value of z if the area to the left of z is 0.9515 ? b. What it the value of z if the area to the left of z is 0.1249 ? c. What is the value of z if the area to the right of z is 0.33 ? d. What is the z value such that the area between -z and...
Find the indicated probability using the standard normal distribution. ​P(−0.11< z < 0.11) ​P(−0.11< z <...
Find the indicated probability using the standard normal distribution. ​P(−0.11< z < 0.11) ​P(−0.11< z < 0.11)=
Assume a normal distribution for each question. (a) What proportion of the distribution consists of z-scores...
Assume a normal distribution for each question. (a) What proportion of the distribution consists of z-scores greater than 0.25? ( b) What is the probability of obtaining a z-score less than 0.50? ( c) What is the probability of obtaining a z-score greater than −1.50? (d) What is the probability of obtaining a z-score between +1.00 and −1.00?
9. For a standard normal distribution, what is the probability that Z is greater than -1.35?...
9. For a standard normal distribution, what is the probability that Z is greater than -1.35? Round to four decimals and use leading zeros. 10. For a standard normal variable, what is the probability that Z is between -2.00 and -1.00? Round to four decimals and use leading zeros. 11. For a dataset that follows the standard normal distribution, what is the probability that Z is between 2.00 and 3.00? Round to four decimals and use leading zeros.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT