Supply the appropriate statistical test needed for the following data. Write Z if it the appropriate test is Z-test and write T if it T-test is needed for the data. 1. An infomercial claims that a miracle drug will cause you to grow all your hair back. There are 25 brave participants and surprisingly 7 people regrew their hair. With every 25 participants there are more or less 6 people regrow their hair. 2. Based on the report of the school nurse, the average height of Grade 11 students has increased. Five years ago, the average height of Grade 11 students was 170cm with standard deviation of 38cm. She took a random sample of 150 students and derived the average height of 165cm. 3. Knowing from a previous study that the average of athletes is 80, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the average of student athletes, the adviser randomly selected 15 soccer players and found 85 as the average with standard deviation of 1.25. 4. It was known that the number of tickets purchased by students at the ticket window for the volleyball match of two popular universities followed a distribution that has mean of 500 and standard deviation of 8.9. Suppose that a few hours before the start of one of these matches, there are 20 eager students standing in line to purchase tickets. If there are 250 tickets remaining, what is the probability that all 20 students will be able to purchase the tickets they want? 5. A sample of n=25 is selected from a normal population, X ̅= 56 and s= 12. Please answer it.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Supply the appropriate statistical test needed for the following data. Write Z if it the appropriate test is Z-test and write T if it T-test is needed for the data.

1. An infomercial claims that a miracle drug will cause you to grow all your hair back. There are 25 brave participants and surprisingly 7 people regrew their hair. With every 25 participants there are more or less 6 people regrow their hair.

2. Based on the report of the school nurse, the average height of Grade 11 students has increased. Five years ago, the average height of Grade 11 students was 170cm with standard deviation of 38cm. She took a random sample of 150 students and derived the average height of 165cm.

3. Knowing from a previous study that the average of athletes is 80, an athletic adviser asked how his soccer players are academically doing as compared to other student athletes. After an initiative to help improve the average of student athletes, the adviser randomly selected 15 soccer players and found 85 as the average with standard deviation of 1.25.

4. It was known that the number of tickets purchased by students at the ticket window for the volleyball match of two popular universities followed a distribution that has mean of 500 and standard deviation of 8.9. Suppose that a few hours before the start of one of these matches, there are 20 eager students standing in line to purchase tickets. If there are 250 tickets remaining, what is the probability that all 20 students will be able to purchase the tickets they want?

5. A sample of n=25 is selected from a normal population, X ̅= 56 and s= 12.

Please answer it.

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 + ...

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