**Question 16:** When $ n $ is small (less than 30), how does the shape of the t distribution compare to the normal distribution?a. It is almost perfectly normal.b. It is flatter and more spread out than the normal distribution.c. It is taller and narrower than the normal distribution.d. There is no consistent relationship between the t distribution and the normal distribution. **Question 15**A researcher conducts a hypothesis test using a sample of $ n = 20 $ from an unknown population. What is the $ df $ (degrees of freedom) value for the t statistic?a. 19b. 20c. 21d. Cannot be determined from the information given**Explanation:**When conducting a t-test, the degrees of freedom (df) is typically calculated as the sample size minus one ($ n - 1 $). Therefore, if the sample size $ n $ is 20, then the degrees of freedom would be $ 20 - 1 = 19 $. Hence, the correct answer is option a.

Solution is Option b. It is flatter and more spread out than the normal distribution.

Answered: 16. When n is small (less than 30), how…

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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Using the appropriate table in textbook (Keller, Appendix B) or Excel, a. find z.05. Draw the distribution and locate the z-value (z.os) in the distribution. b. find-z.05. Draw the distribution and locate the z-value (-z.05) in the distribution. c. find t50,.01. Draw the distribution and locate the t-value (t50,.01) in the distribution. d. find-t50,.01. Draw the distribution and locate the t-value (-t50,.01) in the distribution. e. find X²0,.05. Draw the distribution and locate the x²-value (x²0,05) in the distribution. f. find F2,20,.05. Draw the distribution and locate the F-value (F2,20,.05) in the distribution.
D, e, f and h
4. What proportion of the normal distribution is located in the tail beyond z= -1.50?
Next question The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a standard deviation of 8.6 cm. a. Find the probability that an individual distance is greater than 212.50 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 200.30 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a. The probability is (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed.) c. Choose the correct answer below. OA. The normal distribution can be used because the probability is less than 0.5 OB. The normal distribution can be used because the mean is large. OC. The normal distribution can be used because the finite population correction factor is small. O D. The normal distribution can be used because the original population has a normal distribution. H a Type here esc ? 12 a * # 3 101 $ 4 ts % 5 X 16 40 a # hp &…

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